KEVOS® WORKOS

Tools for better decisions.

Practical tools for the engineering, manufacturing, operations and commercial decisions your team makes every day. Each one shows its method, checks what could go wrong, tests how sensitive the answer is and gives you a report you can share with confidence.

MAKEOS engineering toolkit — a growing library of calculators built on established engineering methods. It covers machining, mechanical design, fasteners and gears, power transmission, fluid power, fabrication, quality and maintenance. Every result shows its working and tells you what to verify before you rely on it.

Methods shown in fullDecision reportsSensitivity analysisNo accountRuns in your browser
Enter project values, analyse them, then use the output to make a decision.
01InputProject data
02AnalyseClear method
03DecideUseful output
APPLICATION AREASCostingCapacityPlanningOperations

Clear inputs. Transparent calculations. Useful decisions.

Decide

Make or Buy (quick check)

Should you make it yourself or outsource it?

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Decide

Project Gate Review

Is this project worth proceeding with?

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Decide

Work Priority Score

What should go first?

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Decide

Two-Option Comparison

Which of two options gives the stronger overall outcome?

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Decide

Change Impact Assessment

How disruptive is this proposed change?

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Decide

Risk Rating (5 × 5 matrix)

How serious is this risk?

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Decide

Make or Buy (detailed cost comparison)

Should you manufacture this internally or buy it from a supplier?

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Money

Return on Investment and NPV

Is this investment financially worthwhile?

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Money

Break-even and Margin of Safety

How much must you sell before you break even?

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Money

Margin and Markup

What margin are you actually making?

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Money

True Unit Cost

What does this work really cost?

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Money

Investment Hurdle Check

Does the investment clear a simple commercial hurdle?

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Money

Recurring Savings Check

What is this improvement worth over a year?

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Projects

Project Health Check

How healthy is this project right now?

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Projects

Project Size and Governance

How large and complex is this project?

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Projects

Resource Fit

Do you have enough people-hours to deliver?

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Projects

Schedule Risk Check

Are you likely to hit the deadline?

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Projects

Contingency Allowance

How much project contingency is reasonable?

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Projects

Business Case with NPV

Does this project make commercial sense?

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Operations

Capacity Check

How much can you realistically produce?

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Operations

Bottleneck and Line Balance

Which step is constraining the process?

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Operations

Takt Time

What pace must the process achieve?

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Operations

OEE (quick)

How effectively is the equipment being used?

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Operations

Cycle Time vs Takt

What cycle time do you need to meet demand?

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Operations

Staffing Need

How many people are required for this workload?

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Operations

Shift Output

How much should one shift realistically produce?

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Operations

OEE and Downtime Analysis

How effectively is this production asset being used?

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Manufacturing

Rack and Batch Fit

How many parts fit on a rack, jig or tray?

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Manufacturing

Machine Load

How heavily loaded is this machine?

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Manufacturing

Scrap Cost Impact

What is scrap costing you?

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Manufacturing

Setup Reduction Value

Is reducing setup time worth the investment?

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Manufacturing

Tooling Payback

How quickly will new tooling pay back?

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Manufacturing

Downtime Cost

What does downtime really cost?

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Manufacturing

Yield and First-pass Yield

How much good output are you getting from input?

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Engineering

Retention Method Selector

Which axial retention method suits this joint, and what will it cost over its life?

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Quoting

Quote Margin Check

Does this quote actually make commercial sense?

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Quoting

Price from Target Margin

What should you charge for the target margin?

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Quoting

Labour Quote

What should the labour portion of the job cost?

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Quoting

Job Cost Estimate

What is the expected total cost of this job?

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Quoting

Supplier Comparison

Which supplier offers the stronger overall value?

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Quoting

Minimum Order Quantity Check

What does the supplier MOQ do to your inventory economics?

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Quoting

Manufacturing Quote Builder

What should this manufacturing job be quoted at?

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Inventory

Reorder Point

When should you reorder?

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Inventory

Safety Stock

How much buffer stock should you hold?

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Inventory

Inventory Carrying Cost

What does holding this inventory cost each year?

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Inventory

Days of Stock Cover

How many days of stock do you have?

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Inventory

Economic Order Quantity (EOQ)

What order quantity balances ordering and holding cost?

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Improvement

Improvement Value

What is this process improvement worth?

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Improvement

Eight Wastes Check

Where is Lean waste most visible?

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Improvement

Before and After Comparison

Did the change actually improve the process?

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Improvement

Automation Business Case

Is this repetitive work worth automating?

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Improvement

Process Maturity Score

How mature is this process?

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Improvement

Jig and Fixture Return on Investment

Is this jig or fixture worth building?

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Planning

Demand vs Capacity

Can available capacity meet demand?

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Planning

Deadline Feasibility

Can you finish this quantity by the deadline?

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Planning

Team Workload

Is the team overloaded?

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Planning

Profit What-if Scenario

What happens if volume, price or cost changes?

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Planning

Production Capacity Planner

Can the current production setup meet demand?

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Business

Hire or Outsource

Should you hire or outsource this work?

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Business

Subscription Value

Is this subscription earning its keep?

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Business

Buy or Lease

Should you buy or lease this equipment?

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Business

Process or Software Readiness

Should you fix the process first or buy software?

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Business

Build or Buy Software

Should you build custom software or buy an existing product?

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Manufacturing

Cutting Speed and Spindle RPM

What RPM corresponds to the chosen cutting speed?

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Manufacturing

Milling Feed, Removal Rate and Time

What feed, removal rate and cutting time follow from this setup?

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Manufacturing

Turning Feed and Cutting Time

How long will a straight turning pass take?

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Manufacturing

Drilling Travel and Time

What feed travel and time does a through-hole need?

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Manufacturing

Tapping Feed and Thread Lead

What synchronous feed matches this thread lead?

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Engineering

Bolt Circle Coordinates

Where are the centres of equally spaced holes?

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Engineering

Taper Angle and Ratio

What half-angle and taper ratio match these dimensions?

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Quality

Sine Bar Height

What height difference sets this angle?

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Engineering

Hole and Shaft Clearance Limits

What clearance or interference can occur at the size limits?

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Materials

Linear Thermal Growth

How much does an unrestrained dimension change with temperature?

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Engineering

Beam Stress and Deflection

What stress and deflection does this ideal beam model predict?

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Power Transmission

Circular Shaft Torsion

What torsional stress and twist does this circular shaft develop?

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Power Transmission

Torque, Power and Speed

What shaft torque corresponds to this power and speed?

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Power Transmission

Spur Gear Pair Geometry

What nominal geometry and speed ratio follow from module and tooth counts?

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Power Transmission

Open Belt Drive Geometry

What speed, wrap and pitch length follow from this pulley layout?

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Hydraulics

Hydraulic Cylinder Force and Speed

What ideal force and stroke time follow from pressure and flow?

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Hydraulics

Hydraulic Power and Pump Input

What fluid power and shaft input does this duty require?

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Hydraulics

Liquid Pipe Velocity and Reynolds Number

What velocity and flow regime follow from diameter, flow and viscosity?

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Pneumatics

Pneumatic Cylinder Air Demand

What reference-volume air demand does this cylinder cycle create?

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Materials

Stock Volume and Mass

What is the theoretical mass of this stock geometry?

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Fabrication

Sheet Bend Allowance and Deduction

What developed length follows from this bend and K-factor?

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Fabrication

Punching Force Estimate

What ideal force follows from the total cut perimeter?

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Quality

Process Capability from Summary Data

What Cp and Cpk follow from this mean and within-process spread?

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Maintenance

Repairable Asset Availability

What do operating and repair records show about availability?

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Engineering

Signed Three-Term Tolerance Stack

What are the worst-case limits of this signed assembly dimension?

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Quality

Independent Dimensional Uncertainty Budget

How do these independent measurement contributions combine?

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Engineering

Section Properties

What area and bending properties follow from this section?

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Manufacturing

Countersink Depth and Breakthrough

How deep is this countersink, and will it reach the opposite face?

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Manufacturing

Turning Cusp Height

What ideal peak-to-valley cusp follows from feed and nose radius?

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Manufacturing

Radial Chip-Thinning Feed

How does reduced radial engagement change feed per tooth?

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Manufacturing

Ball-Nose Effective Diameter

What cutting diameter is engaged at this shallow axial depth?

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Manufacturing

Circular Interpolation Feed

What tool-centre feed gives the specified feed around a circular wall?

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Maintenance

Coolant Blend

What volumes make the required final coolant concentration?

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Maintenance

Coolant Top-up Balance

How much make-up fluid reaches the target within sump capacity?

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Fabrication

Three-Size Stock Cut Planner

How can these pieces fit into equal-length stock bars?

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Fabrication

Fillet Weld Quantity

How much deposited metal and consumable does this fillet require?

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Fabrication

Welding Arc Energy and Heat Input

What energy per length follows from these arc parameters?

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Fabrication

Tube Bend Developed Length

What centreline length follows from these straights and bends?

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Materials

Differential Thermal Fit

How does clearance change at different part temperatures?

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Engineering

Axial Stress and Extension

What elastic stress and length change follow from this axial force?

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Engineering

Bearing L10 Life

How many hours will this rolling bearing run before 10% of a group would be expected to fail?

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Engineering

Bearing Static Load Ratio

How does the static load on this bearing compare with its static rating?

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Power Transmission

Chain Linear Speed

How fast does this roller chain run, and how much does its speed fluctuate?

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Power Transmission

Pulley Speed Ratio

What speed will the driven pulley run at, ignoring belt slip?

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Power Transmission

Lead Screw Travel Speed

How fast does the nut travel at this screw speed?

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Power Transmission

Lead Screw Input Torque

What torque is needed to drive this axial load through a lead screw?

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Hydraulics

Pipe Flow Velocity

What is the mean velocity of this flow in a pipe of this bore?

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Hydraulics

Darcy Pipe Pressure Drop

How much pressure is lost to friction along this straight pipe?

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Hydraulics

Pump Shaft Power

What shaft power does a pump need for this flow and head?

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Maintenance

Shaft Angular Offset

What angular misalignment does this offset across a known span represent?

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Materials

Differential Thermal Expansion

How does a fit clearance change when the bore and shaft materials expand differently?

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Pneumatics

Pneumatic Cylinder Swept Volume

What volume does a double-acting cylinder sweep in one complete cycle?

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Geometry

Circular Segment and Arc

What chord, arc length, angle and area does this circular segment have?

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Geometry

Regular Polygon and Hexagon Sizes

What are the across-flats, across-corners, side and area of this regular polygon?

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Geometry

Triangle Solver

What are the missing sides, angles and area of this triangle?

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Geometry

Cylindrical Tank Contents

How much liquid is in this partly filled cylindrical tank?

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Geometry

Hopper and Frustum Volume

What volume and side area does this tapered hopper or frustum have?

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Geometry

Ellipse Area and Perimeter

What area, perimeter and eccentricity does this ellipse have?

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Geometry

Compound Angle

What true compound angle results from tilts in two perpendicular planes?

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Geometry

Polar and Rectangular Coordinates

What are the X–Y coordinates of this radius and angle, or the radius and angle of this X–Y point?

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Quality

Dovetail Measurement over Rods

What should the measurement over (or between) rods read for this dovetail?

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Quality

V-Groove Measurement over a Pin

How far should a gauge pin stand above the surface in this V-groove?

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Quality

Gauge Block Stack Builder

Which gauge blocks make up this length with the fewest blocks?

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Quality

Abbe Offset Error

How much error does an offset between the scale and the measured feature cause?

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Quality

Statistical (RSS) Tolerance Stack

Will this gap stay within its limits, worst case and statistically?

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Quality

ISO Tolerance Grade (IT) Value

How large is the ISO IT tolerance grade for this nominal size?

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Units

Length Converter

What is this length in other units?

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Units

Force Converter

What is this force in other units?

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Units

Pressure and Stress Converter

What is this pressure or stress in other units?

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Units

Torque Converter

What is this torque in other units?

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Units

Power Converter

What is this power in other units?

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Units

Energy and Work Converter

What is this energy in other units?

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Units

Volumetric Flow Converter

What is this volumetric flow rate in other units?

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Units

Mass Converter

What is this mass in other units?

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Units

Speed and Feed Rate Converter

What is this speed in other units?

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Units

Angle Converter

What is this angle in other units?

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Units

Temperature Converter

What is this temperature, or temperature difference, in other scales?

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Units

Decimal to Fraction

What is the nearest fraction to this decimal, and how far off is it?

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Mechanics

Resultant of Concurrent Forces

What single force is equivalent to these forces acting at one point?

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Mechanics

Inclined Plane and Friction

What force pushes, holds or lowers a load on this slope?

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Mechanics

Flywheel Energy and Speed Fluctuation

How much energy does this flywheel give up between two speeds, and is its rim speed acceptable?

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Mechanics

Centrifugal Force on a Rotating Mass

What outward force does this rotating mass exert?

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Mechanics

Permissible Residual Unbalance (Balance Grade)

How much residual unbalance is allowed for this rotor and balance grade?

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Mechanics

Impact Energy and Stopping Force

What energy and force result when this mass is stopped over a short distance?

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Mechanics

Point-to-Point Move Time

How long does this axis or conveyor move take with the given speed and acceleration?

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Mechanics

Sling Leg Tension

What tension does each sling leg carry at this angle, and is it within the rating?

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Mechanics

Combined Centre of Gravity

Where is the centre of gravity of these combined masses?

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Mechanics

Mass Moment of Inertia

What is the mass moment of inertia of this body about the chosen axis?

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Mechanics

Belt, Rope and Band Friction (Capstan)

What is the most tension the tight side can hold for this wrap and friction?

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Strength

Column Buckling (Euler and Johnson)

What load will buckle this column or strut, and is the safety factor enough?

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Strength

Principal Stresses and von Mises

What are the principal stresses, maximum shear and von Mises stress for this stress state?

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Strength

Pressure Cylinder Wall Stress

What stresses does internal pressure cause in this tube or cylinder wall?

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Strength

Fatigue Safety Factor (Goodman)

Is this fluctuating stress safe for infinite life by the Goodman, Soderberg and Gerber criteria?

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Strength

Beam Cases: Off-Centre, Fixed and Propped

What reactions, moment, stress and deflection does this beam case give?

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Strength

Shaft Diameter for Bending and Torsion

What shaft diameter carries this bending moment and torque at the allowable shear stress?

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Strength

Shaft Critical (Whirling) Speed

At what speed will this shaft whirl, and is the running speed clear of it?

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Strength

Circular Flat Plate under Pressure

What stress and deflection does uniform pressure cause in this round plate?

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Strength

Press and Shrink Fit Pressure and Holding Torque

What contact pressure, hub stress and holding torque does this interference give?

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Strength

Restrained Thermal Stress

What stress and force build up if this member is prevented from expanding?

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Strength

Hertz Contact Stress

What contact pressure develops between these curved bodies under load?

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Springs

Helical Compression Spring Design Check

What rate, load and stress will this compression spring have at its working length?

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Springs

Helical Extension Spring Check

What load and body stress will this extension spring have at its working extension?

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Springs

Helical Torsion Spring Check

How far will this torsion spring wind, how highly stressed is it and will it still fit its arbor?

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Springs

Springs in Series or Parallel

What is the combined rate of these springs, and how is the load shared?

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Springs

Disc (Belleville) Spring Load and Stress

What force and stress does this disc spring, or stack, give at a deflection?

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Fasteners

Bolt Tightening Torque and Preload

What preload does this torque give, or what torque gives the target preload?

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Fasteners

Thread Length of Engagement

How long must the thread engagement be so the bolt breaks before the threads strip?

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Fasteners

Bolted Joint Load Sharing and Separation

How much of the external load reaches the bolt, and when will the joint separate?

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Fasteners

Bolt and Pin Shear and Bearing

Are these bolts or pins strong enough in shear and bearing for this load?

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Fasteners

Riveted Lap Joint Efficiency

How strong is this riveted joint compared with the solid plate, and how will it fail?

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Fasteners

Tap Drill for Percentage of Thread

What drill size gives the required percentage of thread for a cutting or forming tap?

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Threads

ISO Metric Thread Basic Dimensions

What are the basic pitch, minor and root diameters and stress area of this metric thread?

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Threads

Unified Inch Thread Basic Dimensions

What are the basic pitch and minor diameters and stress area of this UNC or UNF thread?

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Threads

Three-Wire Thread Measurement

What should the measurement over three wires read for this thread, or what pitch diameter does a reading give?

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Threads

Thread Helix Angle and Screw Efficiency

What is the helix angle of this thread, how efficient is it, and will it self-lock?

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Threads

Simple Indexing on a Dividing Head

How many crank turns and holes give this number of divisions on a dividing head?

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Threads

Change Gears for Thread Cutting

Which change gears cut this thread lead on this lathe?

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Gears

Helical Gear Pair Geometry

What diameters, centre distance and contact ratios does this helical gear pair have?

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Gears

Gear Tooth Forces

What tangential, radial and axial forces does this gear mesh put on the shafts?

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Gears

Gear Tooth Bending Stress (Lewis)

What bending stress does the tooth load cause at the tooth root, by the Lewis equation?

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Gears

Worm Gear Geometry and Efficiency

What ratio, lead angle, centre distance and efficiency does this worm drive have, and will it back-drive?

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Gears

Straight Bevel Gear Geometry

What pitch angles, cone distance and diameters does this bevel gear pair have?

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Gears

Gear Chordal Thickness and Addendum

What chordal thickness and chordal addendum should a gear tooth caliper read?

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Gears

Gear Span (Base Tangent) Measurement

What should the span measurement over k teeth read for this spur or helical gear?

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Gears

Spur Gear Measurement over Pins

What should the measurement over two pins read for this external spur gear?

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Gears

Gear Train Ratio, Speed and Torque

What is the overall ratio, output speed and output torque of this gear train?

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Gears

Cam Follower Peak Velocity and Acceleration

What peak velocity, acceleration and inertia force does this cam rise produce?

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Power Transmission

Belt Drive Tensions and Shaft Load

What belt tensions and shaft load are needed to transmit this power without slipping?

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Power Transmission

Roller Chain Length and Centre Distance

How many links does this roller chain drive need, and what centre distance results?

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Power Transmission

Reflected Inertia and Motor Acceleration Torque

What torque must the motor give to accelerate this load through the gearbox, and is the inertia ratio reasonable?

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Power Transmission

Ball Screw Critical Speed and Buckling

Is this ball screw below its critical speed and buckling load?

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Power Transmission

Plate Clutch and Disc Brake Torque

How much torque can this plate clutch or disc brake transmit?

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Power Transmission

Three-Phase Motor Power, Current and Torque

What current does this three-phase motor draw, or what power does a measured current mean?

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Power Transmission

Parallel Key Shear and Crushing

Is this parallel key long enough for the torque in shear and crushing?

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Engineering

Rolling Bearing Adjusted Rating Life

How many hours will this ball or roller bearing last at the required reliability?

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Engineering

Plain Bearing Pressure, Velocity and PV

Are the pressure, sliding speed and PV of this bushing within the material’s limits?

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Engineering

O-Ring Squeeze, Stretch and Gland Fill

Will this O-ring have the right squeeze, stretch and gland fill in this groove?

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Manufacturing

Turning Cutting Force and Power

What cutting force, power and torque does this turning cut need, and can the machine deliver it?

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Manufacturing

Milling Power and Spindle Torque

What power and torque does this milling cut need, and can the spindle deliver it?

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Manufacturing

Drilling Power, Torque and Thrust

What power, torque and thrust does this drill need?

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Manufacturing

Ball-Nose Scallop Height and Stepover

What scallop height does this stepover leave, or what stepover gives the target height?

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Manufacturing

Taylor Tool Life and Economic Cutting Speed

How long will the tool last at this speed, and what speed gives the lowest cost per part?

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Manufacturing

Grinding Wheel Speed and Removal Rate

Is this wheel running within its marked maximum speed, and what removal rate does the grind give?

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Manufacturing

Broach Tooth Pitch

What tooth pitch should this broach have for its chip space and machine capacity?

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Manufacturing

Boring Bar Deflection

How far will this boring bar deflect under the cutting force, and is the overhang reasonable?

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Manufacturing

Electroplating Thickness and Time (Faraday)

How long must this part be plated to reach the thickness, and what current does it need?

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Fabrication

Guillotine Shearing Force

What force does it take to shear this sheet or plate, and can the shear do it?

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Fabrication

Press Brake Bending Force

What tonnage does this V-die bend need, and is the press brake big enough?

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Fabrication

Drawn Shell Blank Diameter and Draws

What blank diameter is needed for this drawn cup, and how many draws will it take?

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Fabrication

Fillet Weld Strength

Can these fillet welds carry the load, and what leg size is needed?

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Fabrication

Carbon Equivalent and Weldability

What carbon equivalent does this steel have, and does it suggest preheat?

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Fabrication

Casting Solidification Time and Riser Check

Will this cylindrical riser solidify after the casting, and what pattern size allows for shrinkage?

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Materials

Brinell Hardness from Indentation

What Brinell hardness does this indentation give, and is the test valid?

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Materials

Heat Flow Through a Layered Wall

How much heat flows through this insulated wall, and what are the layer temperatures?

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Materials

Heating Energy and Time

How much energy and time does it take to heat this material or liquid?

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Hydraulics

Orifice and Restrictor Flow

How much liquid flows through this orifice at this pressure drop, or what drop does a flow cause?

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Hydraulics

Hydraulic Accumulator Size

What gas-charged accumulator size delivers this volume between the working pressures?

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Hydraulics

Pipe Friction Factor and Pressure Drop

What friction factor and pressure drop does this flow have in this pipe?

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Hydraulics

Pump and Fan Affinity Laws

What flow, head and power will this centrifugal pump or fan give at a new speed or impeller size?

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Hydraulics

Pump NPSH Available

Is the net positive suction head available enough to prevent cavitation?

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Hydraulics

Hydraulic Motor Torque, Speed and Power

What torque, speed and power will this hydraulic motor give for this flow and pressure?

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Hydraulics

Pipe or Hose Size for a Target Velocity

What inside diameter keeps this flow at the target velocity?

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Hydraulics

Hydrostatic Pressure and Tank Wall Force

What pressure and force does this liquid depth put on a tank wall and floor?

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Pneumatics

Air Compressor Power

What shaft power does it take to compress this air flow to this pressure?

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Pneumatics

Compressed Air Leak Cost

How much air does this leak waste, and what does it cost each year?

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Pneumatics

Air Receiver Size

What receiver volume covers this demand above compressor supply for this time and pressure band?

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Pneumatics

Gas Volume at Pressure and Temperature

What volume does this gas occupy at the new pressure and temperature?

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Money

Depreciation Schedule

How does this asset depreciate each year by straight-line, sum-of-years’-digits or declining balance?

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Money

Equivalent Annual Cost Comparison

Which of two machines or options has the lower equivalent uniform annual cost?

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Money

Internal Rate of Return (Uneven Cash Flows)

What rate of return does this investment earn with these yearly cash flows?

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Money

Interest and Equivalence Factors

What are the compound interest factors for this rate and period?

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Quality

Normal Distribution Out-of-Tolerance

What fraction of parts will fall outside these limits for this mean and standard deviation?

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Quality

Sample Size to Estimate a Mean

How many measurements or tests are needed to estimate the mean within this margin?

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Quality

Two-Sample Comparison (t-test)

Is the difference between these two averages statistically significant?

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Geometry

Helix (Coil) Developed Length

How long is the wire, tube or strip wound into this helix?

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Geometry

Tank and Vessel Volume with Heads

What is the total volume of this vessel including its ends?

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Geometry

Linear Interpolation

What value lies between these two table entries?

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Geometry

Circle Through Three Points

What centre and radius pass through these three measured points?

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Quality

True Position with Bonus Tolerance

Is this hole or pin within its positional tolerance, including any bonus from its size?

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Quality

Internal Taper Angle from Two Balls

What is the included angle and top diameter of this tapered bore, measured with two balls?

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Quality

Go and No-Go Gauge Sizes

What sizes should the go and no-go plug or ring gauges have for this toleranced feature?

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Mechanics

Toggle Joint Force

What output force does this toggle joint produce for the applied force?

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Mechanics

Wedge Force with Friction

What force drives this wedge under a load, and will it stay in place?

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Mechanics

Power Screw Raise and Lower Torque

What torque raises and lowers this load with a screw jack or lead screw, including collar friction?

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Mechanics

Band Brake Torque and Lever Force

What band tensions and lever force does this simple band brake need for the braking torque?

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Mechanics

Single Shoe (Block) Brake

What lever force does this block brake need, and is it self-energising or self-locking?

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Power Transmission

Cone Clutch Torque and Engaging Force

How much torque can this cone clutch carry, and what force engages it?

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Mechanics

Wire Rope Reeving: Line Pull and Safety Factor

What pull is on the hoist rope with this reeving, and is the rope’s safety factor enough?

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Strength

Rectangular Bar in Torsion

What shear stress and twist does torque cause in this rectangular or square bar?

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Strength

Curved Beam and Hook Stress

What are the inner and outer fibre stresses in this curved beam or hook section?

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Strength

Tube Collapse under External Pressure

At what external pressure will this long tube collapse, and is the margin enough?

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Strength

Eccentrically Loaded Column (Secant Formula)

What is the peak stress in this column with an offset load, and what load factor brings it to yield?

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Strength

Impact Load on a Beam

What stress and deflection does a dropped weight cause in this beam?

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Strength

Section Properties: I, T, Channel and Angle

What are the area, centroid, second moments and section moduli of this I, T, channel or angle section?

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Strength

Thin-Walled Closed Tube in Torsion

What shear stress and twist does torque cause in this thin-walled round or rectangular tube?

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Strength

Rotating Disc Stress and Burst Margin

What stress does spinning cause in this solid or bored disc, and how fast can it run before yield?

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Strength

Combined Axial and Biaxial Bending Stress

What are the corner stresses in this rectangular section under axial load and bending about both axes?

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Springs

Flat and Leaf Spring

How much does this flat or leaf spring deflect, and how highly is it stressed?

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Springs

Torsion Bar Spring

What rate, twist and shear stress does this torsion bar spring have?

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Materials

ASTM Grain Size Number

What ASTM grain size number does this count or intercept measurement give?

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Materials

Corrosion Rate from Mass Loss

How fast is this metal corroding, and how long will the corrosion allowance last?

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Fasteners

Bolt Stretch and Turn-of-Nut Angle

How much will this bolt stretch at the target preload, and how far must the nut turn from snug?

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Fasteners

Eccentrically Loaded Bolt Group

Which bolt in this group carries the most shear when the load is offset?

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Threads

Acme and Trapezoidal Thread Dimensions

What are the basic dimensions of this Acme or metric trapezoidal thread?

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Threads

NPT Pipe Thread Gauge Dimensions

What are the pitch diameters and effective thread length of this NPT taper pipe thread?

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Threads

Differential Indexing on a Dividing Head

How can this number of divisions be indexed when simple indexing cannot do it?

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Threads

Helical Milling Lead and Change Gears

What lead does this helix have, and which change gears cut it on the dividing head?

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Threads

Thread Turning Infeed per Pass

How deep should each pass be when single-point turning this thread?

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Gears

Planetary Gear Train

What ratio, output speed and torque does this planetary (epicyclic) gear set give?

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Gears

Profile Shift and Working Centre Distance

What working centre distance and pressure angle result from these profile shifts, and are the teeth undercut?

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Gears

Spur Gear Contact Ratio

What transverse contact ratio does this spur gear pair have?

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Gears

Spur Gear Dimensions (Diametral Pitch)

What are the diameters, tooth depth and centre distance of this inch (diametral pitch) spur gear pair?

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Gears

Roller Chain Sprocket Diameters

What are the pitch, outside, bottom and caliper diameters of this sprocket?

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Manufacturing

Tool Nose Radius Compensation for Tapers

How far must the programmed taper line move to allow for the insert nose radius?

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Manufacturing

Turning Feed for Surface Finish (Ra)

What surface finish does this feed and nose radius give, or what feed achieves the target Ra?

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Manufacturing

Speeds and Feeds in Inch Units

What spindle speed and feed rate follow from this SFM and chip load?

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Manufacturing

Knurling Blank Diameter for Tracking

What blank diameter lets this knurl track cleanly with a whole number of teeth?

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Manufacturing

Band Saw Cutting Time

How long does each cut take on the band saw, and how many cuts per hour?

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Manufacturing

Centerless Grinding Through-Feed Rate

How fast do parts pass through this centerless grinder, and how many per minute?

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Maintenance

Coolant Concentration from Refractometer

What is the coolant concentration from this refractometer reading, and what should be added to correct it?

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Fabrication

Sheet Metal Bending Springback

How much will this bend spring back, and how far must it be overbent?

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Fabrication

Tube Bending Wall Thinning

How much will the tube wall thin on the outside of this bend, and thicken on the inside?

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Fabrication

Fillet Weld Cost per Metre

What does this fillet weld cost per metre in labour, filler and gas?

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Fabrication

Lap Joint Overlap (Brazed, Soldered or Bonded)

How much overlap does this brazed, soldered or bonded lap joint need?

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Fabrication

Paint and Powder Coating Coverage

How much paint or powder is needed to coat this area at the specified film thickness?

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Engineering

Rolling Bearing Friction Torque and Heat

How much friction torque and heat does this rolling bearing produce?

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Engineering

Oil Viscosity at Temperature

What is this oil’s viscosity at the operating temperature?

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Maintenance

Rim and Face Shaft Alignment Corrections

How many shims should go under each foot of the movable machine to correct this misalignment?

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Power Transmission

Induction Motor Synchronous Speed, Slip and Load

What is this motor’s synchronous speed and slip, and roughly how loaded is it?

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Hydraulics

Water Hammer Pressure Surge

How big a pressure surge will closing this valve cause?

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Hydraulics

Coolant Flow for a Heat Load

What flow of water or oil removes this heat load for the allowed temperature rise?

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Pneumatics

Compressed Air Pipe Pressure Drop

What pressure drop does this compressed air flow cause in this pipe?

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Pneumatics

Pneumatic Cylinder Force and Bore Selection

What force does this air cylinder give, and is the bore large enough for the load?

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Pneumatics

Vacuum Cup Holding Force

Will these suction cups hold this part during handling?

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Hydraulics

Valve Flow Coefficient (Kv and Cv)

What Kv does this valve need for the flow and pressure drop, or what flow will a valve pass?

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Materials

Radiant Heat Loss

How much heat does this hot surface radiate to its surroundings?

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Materials

Heat Loss from an Insulated Pipe

How much heat does this insulated pipe lose, and how hot is the outside surface?

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Hydraulics

Heat Exchanger LMTD and Area

What log mean temperature difference and area does this heat exchanger need for the duty?

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Money

Process Selection Break-Even Quantity

Above what quantity does the process with higher set-up cost become cheaper?

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Money

Learning Curve Unit Time and Cost

How long will the nth unit take, and what will the batch cost, as the team learns?

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Quality

X-bar and R Control Chart Limits

What are the control limits for this X-bar and R chart?

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Quality

Acceptance Sampling Probability (OC Curve)

What is the chance this sampling plan accepts a lot with a given defect rate?

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Maintenance

Weibull Reliability and B10 Life

What is the probability this component survives to a given time, and what are its B10 life and MTTF?

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Geometry

Plane Figure Area and Perimeter

What area and perimeter does this flat shape have?

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Geometry

Polygon Area and Centroid from Coordinates

What is the area, perimeter and centroid of this polygon from its corner coordinates?

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Geometry

Volume and Surface of Solids

What volume, surface area and mass does this solid have?

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Geometry

Centre of Gravity of Common Shapes

Where is the centre of gravity of this shape or solid?

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Mathematics

Complex Number Calculator

What is the sum, difference, product or quotient of these complex numbers, in rectangular and polar form?

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Geometry

Cylindrical and Spherical Coordinates

What are the rectangular, cylindrical or spherical coordinates of this point?

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Geometry

Distance and Angle Between Two Points

How far apart are these two points, and at what angle?

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Mathematics

Quadratic and Cubic Equation Solver

What are the roots of this quadratic or cubic equation?

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Mathematics

Simultaneous Equations and 3 × 3 Matrix

What solves these two or three simultaneous linear equations, and what are the determinant and inverse?

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Mathematics

Factorials, Permutations and Combinations

How many arrangements or selections of r items from n are possible?

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Mathematics

Trigonometric and Involute Functions

What are the trigonometric, versed and involute functions of this angle, or the angle for an involute value?

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Units

Degrees, Minutes and Seconds Converter

What is this angle in degrees–minutes–seconds, decimal degrees and radians?

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Geometry

Triangle from Two Sides and an Opposite Angle

Which triangles have these two sides and the angle opposite one of them?

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Geometry

Rollers Around a Shaft and Circles in Circles

What size rollers fit around this shaft, how big a circle holds N equal circles, or how many circles fit in a rectangle?

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Units

Density and Specific Gravity Converter

What is this density in other units, or as a specific gravity?

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Units

Wind Chill Temperature

How cold does it feel at this air temperature and wind speed?

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Strength

Overhanging Beam

What reactions, moments and deflections does this beam with overhanging ends have?

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Strength

Continuous Beam over Two Spans

What reactions, moments and deflections does this beam continuous over three supports have?

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Strength

Beam Cases: Fixed, Guided, Propped and Partial Loads

What moments and deflection does this less common beam case give?

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Strength

Round Shaft under Axial Load, Bending and Torsion

What are the combined stresses in this round shaft or bar, and is it safe against yield?

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Strength

Three-Dimensional Principal Stresses

What are the three principal stresses, maximum shear and von Mises stress for this 3D stress state?

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Strength

Column Strength by Rankine–Gordon

What load will this column carry by the Rankine–Gordon formula?

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Strength

Section Properties: Ellipse, Hexagon, Triangle, Z and Cross

What are the area, second moments and section moduli of this section?

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Mechanics

Mass Moment of Inertia: Cone, Torus, Ellipsoid and Shells

What is the mass moment of inertia and radius of gyration of this body?

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Mechanics

Resultant of Non-Concurrent and Parallel Forces

What single force and line of action replaces these forces acting at different points?

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Springs

Square-Wire Compression Spring

What rate, load and stress does this square-wire compression spring have?

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Engineering

Journal Bearing Friction (Petroff) and Sommerfeld Number

What friction torque, power loss and Sommerfeld number does this lightly loaded journal bearing have?

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Engineering

Thrust Bearing Pad Unit Load and PV

What unit load, sliding speed and PV does this pad or washer thrust bearing run at?

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Pneumatics

Gas Compression and Expansion Process

What final volume, temperature and work result from compressing or expanding this gas?

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Threads

Unified Thread Limits of Size (Classes 1A–3B)

What are the limits of size for this UNC, UNF or UN thread in the chosen class?

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Threads

ISO Metric Thread Limits of Size (6g, 6H and Others)

What are the limits of size for this metric thread in the chosen tolerance class?

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Threads

Whitworth Thread Basic Dimensions

What are the basic pitch and minor diameters of this BSW, BSF or BSP (parallel) Whitworth thread?

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Threads

Three-Wire Measurement with Lead Angle (Buckingham)

What should the measurement over wires read for this coarse-lead or multi-start thread or worm?

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Gears

Involute Spline Basic Dimensions (ANSI B92.1)

What are the basic diameters and space width of this involute spline?

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Gears

Involute Gear Cutter Number

Which involute gear milling cutter number should cut this spur, helical or bevel gear?

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Gears

Crossed Helical Gears (Shafts at Right Angles)

What diameters and centre distance does this crossed helical gear pair at 90° have?

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Power Transmission

Keyseat Depth and Measurement over Key

What depths should be measured when cutting this keyseat in a round shaft?

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Quality

Arc Radius from Measurement over Rolls

What radius does this concave or convex gauge or part have, from a measurement over two rolls?

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Quality

Bolt Circle Measurement over Pins

What is the distance across opposite holes of this bolt circle, measured over plugs?

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Quality

Taper and Angle Gauges with Discs

What angle or taper do these two discs set, or where must they be placed for a required taper?

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Manufacturing

Drill Sizes: Number, Letter, Fraction and Metric

What is the decimal size of this number or letter drill, or which drills are closest to a size?

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Manufacturing

Cutting Speed or Feed for Full Machine Power

How fast can this cut run before it uses all the available spindle power?

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Power Transmission

Crossed Belt and Three-Pulley Belt Length

How long is the belt for this crossed drive or for a belt around three pulleys?

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Strength

Square and Rectangular Flat Plates

What stress and deflection does this square or rectangular plate have under load?

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Strength

Spherical Shell under Internal Pressure

What stress does internal pressure cause in this spherical vessel or dished end?

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Strength

Shaft Diameter for Brittle Materials and Hollow Shafts

What diameter does this shaft need by the maximum-normal-stress theory, and how does a hollow shaft compare?

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Power Transmission

Flange Coupling Bolt Capacity

Can the bolts of this flanged coupling carry the torque in shear?

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Fasteners

Taper Pin for Torque Transmission

What mean diameter of taper pin through this shaft and hub transmits the torque safely?

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Power Transmission

Universal (Cardan) Joint Speed Variation

How much does the output speed of this universal joint vary over each revolution?

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Strength

Fatigue Notch Factor from Stress Concentration

How much does this notch, fillet or groove reduce fatigue strength?

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Strength

Fatigue Life from the S-N Curve (Steel)

How many cycles will this steel part survive at this alternating stress?

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Materials

Vickers and Knoop Hardness from Indentation

What Vickers or Knoop hardness does this indentation give?

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Materials

Elastic Constants: E, G, ν and Bulk Modulus

What are the other elastic constants of an isotropic material from the two I know?

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Materials

Energy and Time to Melt Metal

How much energy and time does it take to melt and superheat this charge of metal?

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Materials

Cantilever Snap-Fit Design (Plastics)

Will this snap-fit finger survive assembly, and what forces does it need?

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Gears

Spur and Helical Gear Contact (Pitting) Stress

What contact stress does this gear mesh run at, compared with the allowable for the material?

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Gears

Cam Pressure Angle

What is the maximum pressure angle for this cam rise, base circle and roller follower?

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Engineering

Bearing Life for a Load and Speed Duty Cycle

What is the equivalent load and rating life of this bearing over a varying duty cycle?

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Power Transmission

RMS Torque for a Motor Duty Cycle

What is the RMS torque of this duty cycle, and can the motor carry it continuously?

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Power Transmission

Ball Screw Rating Life

How long will this ball screw last at its mean load and speed?

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Power Transmission

Timing (Synchronous) Belt Length and Teeth

How many teeth does the timing belt need, and what centre distance results?

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Maintenance

Thermal Growth for Hot Shaft Alignment

How much will each machine’s shaft rise when hot, and what cold offset should be set?

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Fabrication

Minimum and Maximum Bend Radius

What is the smallest bend radius this sheet takes without cracking, and the largest that still forms permanently?

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Manufacturing

Anodizing Time and Coating Thickness

How long must this part anodize to reach the coating thickness, and how much current is needed?

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Fabrication

Casting Gating System Choke Area

What choke (sprue) area fills this mould in the planned pouring time?

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Manufacturing

CNC Arc Linearisation Chord Error

What chord error do these line segments leave on an arc, or what segment length meets a tolerance?

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Manufacturing

Chip Thickness and Specific Cutting Force

What mean chip thickness does this cut produce, and what specific cutting force results?

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Manufacturing

Grinding Equivalent Diameter and G-Ratio

What is the equivalent wheel diameter for this cylindrical grind, and what G-ratio was achieved?

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Manufacturing

Thread Milling Tool Path and Feed

What tool-centre path and programmed feed does this helical thread milling operation need?

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Threads

Angular Indexing on a Dividing Head

What crank movement turns the work through this angle on a dividing head?

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Fasteners

Bolted Joint Fatigue Check

Will the bolt in this preloaded joint survive the fluctuating external load?

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Money

Machine Hour Rate

What does this machine cost per productive hour to own and run?

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Money

Benefit–Cost Ratio

Do the discounted benefits of this project exceed its discounted costs, and by how much?

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Mathematics

Geometric Speed and Size Series

What geometric series of speeds (or sizes) runs between these limits in this many steps?

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Mathematics

Prime Factors, Greatest Common Divisor and Least Common Multiple

What are the prime factors of these numbers, and their greatest common divisor and least common multiple?

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Gears

Rack and Pinion Speed, Force and Travel

What linear speed, force and travel does this rack and pinion give?

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Mechanics

Uniformly Accelerated Motion and Falling Bodies

How fast and how far does this body travel under constant acceleration, or how fast does it hit the ground?

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Mechanics

Torque to Accelerate a Rotating Load

How much torque does it take to bring this rotating load up to speed in the time allowed?

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Mechanics

Impulse, Momentum and Collisions

What average force changes this body’s velocity in the time available, and how do two bodies move after they collide?

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Mechanics

Pendulum Period: Simple, Compound, Conical and Torsional

What is the period of this pendulum, and how much does a large swing change it?

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Mechanics

Fly-ball (Porter) Governor Height and Sensitivity

At what height does this fly-ball governor run at this speed, and how sensitive is it?

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Mechanics

Geneva Wheel Indexing Mechanism

What crank radius and wheel size does a Geneva drive need, and how long are its index and dwell?

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Mechanics

Gyroscopic Couple and Bearing Reactions

What gyroscopic couple does this spinning rotor exert when its axis is turned, and what load does it put on the bearings?

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Mechanics

Prony Brake and Absorption Dynamometer Power

How much power is the machine delivering according to the brake arm, scale reading and speed?

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Mechanics

Catenary Cable Sag, Tension and Length

What tension and length does a cable or chain of this weight have when it sags this much over the span?

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Mechanics

Rolling Resistance of Wheels and Rollers

What force does it take to keep this wheeled load rolling, and how does that compare with sliding it?

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Mechanics

Counterbalancing Masses in One Plane

What counterweight, at what angle, balances these masses rotating in one plane?

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Mechanics

Two-Plane (Dynamic) Balance Corrections

What correction masses in two planes give this rotor a running (dynamic) balance?

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Mechanics

Torsional Natural Frequency of a Drive

At what frequency will this motor-and-load drive resonate in torsion, and is that safely above the control bandwidth?

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Hydraulics

Buoyancy and Submerged Weight

Will this body float, and how much does it weigh when submerged?

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Mechanics

Wind Pressure and Force on a Surface

What force and overturning moment does wind at this speed put on this sign, guard or structure?

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Pneumatics

Velocity and Flow of Escaping Compressed Air

How fast and how much air escapes from this tank through a hole or nozzle?

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Power Transmission

Ratchet Wheel Tooth Pitch

What tooth pitch and outside diameter does a ratchet wheel need to hold this turning moment?

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Mechanics

Lever Force with Several Loads

What effort balances these loads on a lever, or how long must the effort arm be?

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Mechanics

Windlass, Gear Hoist and Differential Pulley Effort

What effort lifts this load with a windlass, geared winch, rope block or differential chain pulley?

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Gears

Gear Tooth Bending Stress (AGMA Form)

What bending stress does this tangential load put on the gear tooth root, and is the safety factor enough?

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Power Transmission

Involute Spline Stresses and Torque Capacity

Are the shear and compressive stresses in this involute spline within the allowables for the torque?

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Gears

Internal Gear and Pinion Proportions

What diameters, centre distance and tooth thicknesses do this internal gear and pinion need, and do the tooth numbers interfere?

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Maintenance

Lubricant Film Thickness Ratio (Lambda)

Is the lubricant film thick enough to separate these rolling surfaces?

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Fasteners

Turn-of-Nut Angle for Bolt Preload

Through what angle must the nut turn to reach this preload, or what preload does a given turn give?

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Fabrication

Deep Drawing and Ironing Punch Force

What punch force does this drawing or ironing operation need?

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Threads

Threading Roll Pitch Diameter

What pitch diameter should a single- or multiple-start threading roll have for this screw thread?

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Gears

Gear Hobbing Cycle Time

How long does it take to hob this gear at the chosen hob speed and feed?

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Fabrication

Length of Angle or Bar Bent to a Ring

What length of angle iron or bar do I cut to roll this ring inside or outside a tank?

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Fabrication

Perforated Sheet Open Area and Hole Count

What open area, hole count and weight does a perforated sheet with this hole and pitch have?

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Engineering

Machinery Noise: Machine Level, Combined Sources and Distance

How loud is this machine on its own, how loud are several sources together, and how does level fall with distance?

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Materials

Equivalent Thickness for Equal Stiffness or Strength

How thick must a part in the new material be to match the stiffness and strength of the original?

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Mathematics

3 × 3 Matrix Determinant, Adjoint and Inverse

What are the determinant and inverse of this 3 × 3 matrix?

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Materials

Wood Moisture Content and Density

What is the moisture content of this timber, and what is its density at a given moisture content?

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Geometry

Prismoidal Formula Volume

What is the volume of this prism, pyramid, frustum or earthwork from its end and middle sections?

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Geometry

Surface and Volume of Revolution (Pappus–Guldinus)

What surface area and volume does a profile sweep out when it is revolved about an axis?

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Geometry

Area of an Irregular Outline by Simpson’s Rule

What is the area of this irregular outline from measured heights at equal spacing?

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Geometry

Spherical Triangle and Great-Circle Distance

What are the angles and area of this spherical triangle, or the great-circle distance between two points?

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Mathematics

Arithmetical and Geometrical Progressions

What is the last term and the sum of this arithmetical or geometrical progression?

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Mathematics

Preferred Number (Renard) Series

Which preferred numbers fall between these limits in the chosen Renard series?

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Geometry

Straight Lines: Intersection, Angle and Distance

Where do these two lines cross, at what angle, and how far is a point from the first line?

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Mechanics

Average Force of a Blow (Drop Hammer or Pile Driver)

What average force does this falling weight deliver when it drives the work a given distance?

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Materials

Mixture Cost and Blending (Alligation)

What does this mixture cost per kilogram, or in what proportions do two ingredients blend to a target value?

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Strength

Steel Column Safe Stress (Classic AISC Formulas)

What safe unit stress and load do the classic AISC column formulas give for this slenderness?

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Fasteners

Retaining Ring Thrust Capacity and Groove Edge Margin

What thrust load can this retaining ring and groove carry, and how far from the end must the groove be?

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Maintenance

ISO 4406 Oil Cleanliness Code from Particle Counts

What ISO 4406 cleanliness code do these particle counts give, and does the oil meet its target?

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Maintenance

Filter Beta Ratio and Capture Efficiency

What beta ratio and capture efficiency does this filter achieve, and what will pass downstream?

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Manufacturing

Inverse Time Feed Rate (G93)

What inverse-time F value programs this move at the feed I want?

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Manufacturing

Bar Stock for Screw Machine Parts

How many parts does each bar give, and how much bar stock do I order for this quantity?

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Fabrication

Shearing Force for Parallel and Inclined Blades

What force does it take to shear this sheet or bar, with parallel or inclined (rake) blades?

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Gears

Spur Gear Pitting Resistance Power Rating (AGMA)

How much power can this spur gear pair transmit before pitting governs?

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Manufacturing

Surface and Cylindrical Grinding Cycle Time

How long will this surface, traverse or plunge grinding operation take?

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Fabrication

Pattern Size for Shrinkage and Casting Weight from Pattern

How big must the pattern be to give this casting size, and roughly what will the casting weigh?

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Gears

Spur Gear Contact Diameters, Contact Ratio and LPSTC

Where does contact start on each gear, what is the contact ratio, and where is the lowest point of single tooth contact?

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Manufacturing

Dividing-Head Angle for Milling Clutch Teeth

At what angle must the dividing head be set to mill these saw-tooth or V-shaped clutch teeth?

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Power Transmission

Silent (Inverted-Tooth) Chain Sprocket Diameters

What pitch, outside, guide-groove and over-pin diameters does this silent chain sprocket have?

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Manufacturing

Small Cutter and Drill Stiffness and Deflection

How much stiffness do I lose by choosing a smaller or longer micro end mill or drill, and how far will it deflect?

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Materials

Stockpile Volume and Weight from Angle of Repose

How much material is in a natural pile on this circular or rectangular base?

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Materials

Lumber Board Feet and Volume

How many board feet and cubic metres are in this timber order, and what does it cost?

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Fasteners

Working Strength of Bolts in Packed (Gasketed) Joints

What external load can this bolt safely carry in a packed joint after allowing for the tightening load?

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Mechanics

Punch and Shear Flywheel Sizing

What motor power and flywheel rim does this punch or shear need for its energy per stroke?

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Manufacturing

Equivalent Chip Thickness (ECT) and Cutting Forces

What equivalent chip thickness, removal rate, cutting force and power does this turning cut give?

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Fabrication

Deep Drawing Reduction Sequence

How many draws does this shell need, and what diameter should each draw produce?

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Gears

Plastics Gear Power Rating

How much power can this nylon, acetal or other plastics gear transmit?

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Materials

Thermal Stress and Movement in Plastic–Metal Assemblies

What stress builds up in a plastic part restrained by metal when the temperature changes, and how much do they move relative to each other?

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Fasteners

Set-Screw Holding Power and Torque

How much power and torque can set screws hold on this shaft, and how many do I need?

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Manufacturing

Forming Tool Step Depths and Angles

What depth and angle must I grind on a flat or circular forming tool to produce these steps on the work?

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Manufacturing

Spade Drilling Power and Thrust

What power and thrust does this spade drilling operation need?

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Materials

True Stress, True Strain and Flow Curve

What are the nominal and true stress and strain at this point in a tensile test, and what does the flow curve predict?

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Units

Oil Viscosity Unit Conversion (cSt, cP, SUS, Reyn)

What is this oil viscosity in centistokes, centipoise, Saybolt seconds and reyns?

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Threads

ANSI Buttress Thread Basic Dimensions (7°/45°)

What are the basic dimensions of this 7°/45° buttress thread?

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Threads

Three-Wire Measurement of Taper and Buttress Threads

What should the measurement over three wires be for this taper or buttress thread, and what pitch diameter does a reading give?

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Manufacturing

Multi-Start Thread Turning Set-up

What lead, start spacing and Z shift do I program to turn this multi-start thread?

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Fabrication

Shear Spinning Blank Thickness and Force

How thick must the blank be for this shear-spun cone, and what force and power does the roller need?

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Quality

CNC Axis Positioning Accuracy and Repeatability

What positioning accuracy and repeatability does this axis have from repeated runs to target points?

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Threads

Acme Thread Tap Drill Size

What drilled hole size suits tapping this Acme thread?

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Manufacturing

Number of Teeth for a Milling Cutter

How many teeth should this face mill or peripheral cutter have for the cut and the power available?

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Manufacturing

Dividing-Head Setting for Fluting Angular Cutters and Taper Reamers

At what angle do I set the dividing head to flute the teeth of this angular cutter or taper reamer?

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Gears

Spur Gear Set Design Check

Will this spur gear set carry the power for bending and pitting, and what face width does it really need?

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Springs

Compression Spring Designer (Two Working Points)

What wire size, coils and free length make a compression spring that gives these two loads at these two lengths?

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Strength

Shrink or Press Fit Design from Required Torque

What interference does a hub need to transmit this torque and thrust, will the hub survive it, and how hot must it be to assemble?

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Fasteners

Bolted Joint Design Check (Preload, Separation, Proof and Fatigue)

Does this bolt size and tightening torque keep the joint closed and the bolt safe under the working load?

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Manufacturing

Turning Cycle Time and Cost per Part with Tool Life

What does each turned part cost at this speed, and how much would the minimum-cost speed save?

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Fabrication

Press Tonnage for a Compound or Progressive Die

What total press force does this die need for blanking, piercing, bending and drawing together, and is the press big enough?

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Hydraulics

Hydraulic Cylinder Sizing (Bore, Rod Buckling, Flow, Power, Pipes)

What bore and rod does this cylinder need, how much flow and power does it take, and what pipe size suits it?

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Strength

Shaft Design: Strength, Twist and Critical Speed

What shaft diameter satisfies strength, torsional stiffness and critical speed together for this drive?

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Manufacturing

Milling Cut Planner (Speed, Thinned Feed, Power and Torque)

What spindle speed and feed should I program for this milling cut, and will the machine have the power?

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Mechanics

Ball-Screw Linear Axis Sizing

Can this ball screw and motor move the load at the speed and acceleration required, and how long will the screw last?

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Power Transmission

V-Belt or Flat Belt Drive Design

How many belts does this drive need, how long are they, and what load do they put on the shafts?

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Power Transmission

Roller Chain Drive Design

Will this roller chain and sprocket pair carry the power, how long is the chain, and how smooth will it run?

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Power Transmission

Rolling Bearing Selection Check

Does this bearing give the life I need at the reliability I want, and is it safe statically and at speed?

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Fabrication

Fillet Weld Joint Design and Cost

What fillet weld size does this joint need, and what will the weld metal, time and cost be?

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Mechanics

Cam and Spring-Loaded Follower Design

Will this cam’s follower stay in contact at speed, what spring preload does it need, and is the pressure angle acceptable?

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Power Transmission

Friction Clutch Engagement Design

What clamp force does this clutch need to start the load in time, and how much heat does each engagement make?

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Mechanics

Screw Jack and Power Screw Design

What torque and lever force raise this load, will the screw self-lock, and are the threads, nut and screw strong enough?

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Hydraulics

Pumping System Design (Head, Power and NPSH)

What head and power does this pumping duty need, and will the pump have enough suction head?

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Power Transmission

Keyed Shaft and Hub Design

How long must the key be to carry this drive, does the hub fit it, and is the keyed shaft strong enough?

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Power Transmission

Band Brake Stopping Design

Can this band brake stop the load in the time required, what lever force does it need, and how hot does it get?

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Power Transmission

Belt Conveyor Drive Sizing

What belt pull and motor power does this belt conveyor need, and will the drive pulley grip without slipping?

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Manufacturing

Fixture Clamping Force and Clamp Screw Torque

How much clamping force holds this workpiece against the cutting forces, and how tight must each clamp screw be?

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Mechanics

Lifting Beam and Spreader Beam Check

Is this lifting beam or spreader bar strong and stiff enough for the load, and what are the sling tensions?

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Strength

Beam Sizing for Strength and Deflection

What section modulus and second moment of area does this beam need for its loads, span and deflection limit?

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Pneumatics

Compressed-Air System Sizing

How big a compressor, receiver and main pipe does this plant need, and what do the leaks cost?

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Mechanics

Vibration Isolator Selection

What mount stiffness and static deflection isolate this machine at its running speed, and how well do my chosen mounts work?

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Power Transmission

Motor and Gearbox Selection

What gear ratio, motor rating and starting torque does this load need, and is the inertia match reasonable?

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Gears

Gear Train Tooth Number Planner

What tooth numbers give this reduction ratio in one or two stages, and how close can I get?

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Power Transmission

Gearbox or Hydraulic Unit Heat Balance and Cooling

How hot will this gearbox or hydraulic power unit run, and does it need a cooler?

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Manufacturing

Cutting Tool Deflection and Depth-of-Cut Limit

How far will this end mill or boring bar deflect under the cut, and what depth keeps it within tolerance?

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Fabrication

Sheet-Metal Bracket: Flat Blank, Nesting, Bending Force and Cost

What flat blank, sheet yield, bending force and cost per part does this bent sheet-metal bracket have?

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Fasteners

Tapped Hole Design (Drill, Engagement and Depth)

What drill, length of engagement and tapping depth does this tapped hole need so the thread does not strip?

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Pneumatics

Pneumatic Cylinder Sizing, Air Use and Running Cost

What bore does this air cylinder need, how much air does it use, and what does that air cost?

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Springs

Disc Spring Stack Design

How many disc springs in series and in parallel give this force over this stroke?

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Manufacturing

Drilling Cycle Planner (Speed, Feed, Thrust, Power and Time)

What speed and feed do I run this drill at, will the machine and workholding take the thrust, and how long will the holes take?

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Hydraulics

Hydraulic Motor Drive Sizing

What motor displacement, flow and pump power does this hydraulic drive need for the load torque and speed?

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Manufacturing

Lathe Chuck Grip Force and Speed Limit

How much grip does the chuck need to hold this cut, how much is lost at speed, and how fast can it safely run?

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Manufacturing

Machine Coolant System Sizing

How much coolant flow, tank volume and pump power does this machine need?

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Mechanics

Rotary Index Table Drive Sizing

What torque and motor does this rotary index table need to index in time, and what holding torque during machining?

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Mechanics

Rack and Pinion Axis Sizing

What pinion torque, motor torque and gear ratio does this rack-and-pinion axis need, and are the teeth strong enough?

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Power Transmission

Hoist Drive Sizing (Rope, Drum, Gearbox, Motor and Brake)

What rope pull, drum speed, gear ratio, motor and brake does this hoist need?

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Materials

Heat-Treatment Furnace Load Plan (Time, Energy, Cost)

How long will this load take to heat, how much energy will the cycle use, and what does it cost per kilogram?

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Fabrication

Mechanical (Crank) Press Capacity Above Bottom

How much force can this crank press deliver at the height where my operation happens, and is it enough?

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Hydraulics

Pipe Thermal Expansion, Anchor Force and Expansion Loop

How much will this pipe run grow when hot, what force would fully restrained anchors see, and how long must the loop legs be?

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Gears

Gear Backlash at Operating Temperature

How much backlash will this gear pair have when the housing and gears warm up, and could it jam?

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Hydraulics

Pump Operating Point on the System Curve

Where will this centrifugal pump actually run on my system, how efficiently, and what speed gives the flow I want?

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Power Transmission

Fan Duty, Fan Laws and Belt Drive

What power does this fan need, how fast must it run for more air, and what pulleys and motor does that take?

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Mechanics

Machine Foundation Block Sizing

How big a concrete block does this machine need, will the soil carry it, and is the block clear of resonance?

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Quality

Measurement Error from Part and Gauge Temperature

How far off is my measurement because the part and gauge are not at 20 °C, and what is the true size?

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Strength

Pressure Vessel Shell and Head Thickness Comparison

What wall thickness does this vessel shell need, and how do hemispherical, ellipsoidal and torispherical heads compare?

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Quality

Fixture Locating Error from Pin and Hole Clearances

How far can a part shift and rotate on its locating pins, and does that fit the feature tolerance?

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Fasteners

Gasketed Flange Bolt Load Check

Do these flange bolts give enough load to seat the gasket and hold the pressure, and what torque do they need?

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Power Transmission

Chain Conveyor Pull and Drive Sizing

What chain pull, sprocket torque and motor power does this chain conveyor need, and is the chain strong enough?

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Power Transmission

Rail Travel Drive Sizing (Crane, Trolley or Transfer Car)

What force and motor does this wheeled carriage need to travel and accelerate on rails, and will the driven wheels slip?

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Power Transmission

Bearing Fit and Operating Internal Clearance

How much radial internal clearance will this bearing have once it is pressed on and running warm, and could it go into preload?

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Power Transmission

Overhung (Radial) Load on a Gearbox or Motor Shaft

What radial load does this pulley, sprocket or gear put on the gearbox shaft, and is it within the allowable at its position?

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Manufacturing

Injection Moulding Clamp, Shot, Cooling and Cycle Estimate

What clamp force and shot size does this mould need, how long will it take to cool, and how many parts per hour will it make?

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Power Transmission

Bearing and Gear Losses with Circulating Oil Flow

How much heat do these bearings and gears make, and how much circulating oil carries it away?

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Fabrication

Press Brake Set-up: Die, Radius, Flange and Tonnage

Which V-die should I use for this bend, what inside radius and minimum flange will it give, and is the press brake big enough?

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Power Transmission

Gearbox Selection Check (Service Factor, Thermal and Torque)

Is this catalogue gearbox right for my motor and load once the service factor and thermal rating are applied?

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Fasteners

Riveted Joint Design (Balanced Pitch and Rivet Count)

What rivet pitch balances plate and rivet strength, how efficient is the joint, and how many rivets carry the load?

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Strength

Vertical Storage Tank Shell Thickness by Course

How thick must each shell course of this vertical liquid storage tank be, and what does the shell weigh?

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Manufacturing

Milling Time and Cost per Part with Tool Life

How long does this milling operation take and what does it cost per part, including tool wear and set-up?

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