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GuidePublished 14 Aug 202623 min readBy Kevin JoginMachine DesignPower TransmissionIndustrial Chain Drives: SizingSelection and Maintenance

Engineering · Machine Design · Power Transmission

Industrial Chain Drives: Sizing, Selection and Maintenance: Types of Transmission Chains

Engineering handbook for industrial chain drives: sizing, selection and maintenance, covering the complete engineering guide to roller chain drives, sprockets,...

Executive summary

This handbook section converts the supplied engineering material into a practical, source-controlled reference. It concentrates on the following learning outcomes.

The Complete Engineering Guide to Roller Chain Drives, Sprockets, and Power Transmission
Types of Transmission Chains
Detachable Chains
Cast Roller Chains
Pintle Chains
Standard Roller Transmission Chains

The Complete Engineering Guide to Roller Chain Drives, Sprockets, and Power Transmission


What You Will Learn in This Guide

This is not a surface-level overview. This is the reference guide you keep bookmarked for the next decade. Here is exactly what we will cover:

  • Every type of transmission chain and when each one belongs in your design
  • The anatomy of a roller chain — every component, every dimension, every tolerance
  • ANSI chain numbering decoded — so you never misorder again
  • Sprocket types, classes, and materials — including the tolerance tables engineers actually need
  • Every critical diameter — pitch, bottom, caliper, outside — with the formulas and lookup data
  • Sprocket proportions for cast, bar-steel, single-strand, and multiple-strand configurations
  • Power ratings for every standard chain size from No. 25 through No. 120
  • Service factors and multiple-strand factors that prevent the failure the practitioner experienced
  • Center distance formulas, chain length calculations, and idler sprocket placement
  • Tooth form geometry — the ANSI standard seating curve, pressure angles, and profile data
  • Hob design and space cutter specifications for sprocket manufacturing
  • Lubrication types that directly determine your chain's rated life
  • Installation, alignment, and a complete step-by-step design procedure

Let's begin where the practitioner began — with understanding what a transmission chain actually is.



Types of Transmission Chains

Before you can select the right chain, you need to understand the full landscape. Roller chains get most of the attention, but they are one member of a larger family. Each type exists because it solves a specific problem that the others cannot.


Detachable Chains

The links of a detachable chain are identical — each has a hook-shaped end in which the bar of the adjacent link articulates. Available in malleable iron or pressed steel, the chief advantage is the ease with which any single link can be removed without special tools or disassembly of the entire chain.

Best for: Low-precision conveyance applications where field maintenance speed matters more than power transmission accuracy.


Cast Roller Chains

Cast roller chains are constructed wholly or partly from cast metal parts. The rollers and side bars are accurately made castings without machine finish. Links are connected by forged pins secured by nuts or cotters.

Best for: Slow speeds and moderate loads where the precision of standard roller chains is not required, or where cost constraints prohibit machined components.


Pintle Chains

Unlike the roller chain, the pintle chain is composed of hollow-cored cylinders cast or forged integrally with two offset side bars, with each link identical. Links are joined by pins inserted through the side bar holes and cored holes in adjacent links. Lugs prevent pin rotation in the side bars, ensuring articulation occurs between the pin and the cored cylinder.

Best for: Heavy-duty, low-speed conveyor and elevator applications where ruggedness matters more than precise pitch accuracy.


Standard Roller Transmission Chains

This is the workhorse of power transmission — and the focus of this guide.

A roller chain is made up of two kinds of links: roller links and pin links, alternately spaced throughout the chain length. The rollers are evenly spaced, and the outstanding advantage of this design is the ability of the rollers to rotate when contacting the sprocket teeth. This rolling contact — rather than sliding contact — dramatically reduces wear and improves efficiency.

Two arrangements are in common use:

  • Single-strand type — a single chain for moderate power transmission
  • Multiple-strand type — two or more chains joined side by side with common pins that maintain roller alignment across strands

Standard Double-Pitch Roller Chains

These are like standard roller chains except their link plates have twice the pitch of the corresponding standard-pitch chain. They conform to ANSI/ASME B29.3M-1994.

Best for: Low speeds, moderate loads, or long center distances where the reduced weight and cost of double-pitch chains become significant advantages.



The Anatomy of a Roller Chain — Every Part, Named and Defined

Understanding chain nomenclature is not academic — it is the difference between ordering the right replacement part and shutting down a line for three days while the wrong one ships back.

Per ANSI/ASME B29.1M-1993, the standard nomenclature is:

Component Description
Roller Link (D) An inside link consisting of two inside plates, two bushings, and two rollers
Pin Link (G and E) An outside link consisting of two pin-link plates assembled with two pins
Inside Plate (A) One of the plates forming the tension members of a roller link
Pin Link Plate (E) One of the plates forming the tension members of a pin link
Pin (F) A stud articulating within a bushing of an inside link, secured at its ends by the pin-link plates
Bushing (B) A cylindrical bearing in which the pin turns
Roller (C) A ring or thimble which turns over a bushing
Assembled Pins (G) Two pins assembled with one pin-link plate
Connecting Link (G and I) A pin link having one side plate detachable
Connecting-Link Plate (I) The detachable pin-link plate, retained by cotter pins or a one-piece spring clip
Connecting Link Assembly (M) A unit designed to connect two roller links
Offset Link (L) A link with two offset plates assembled with a bushing and roller at one end, and an offset link pin at the other
Offset Plate (J) One of the plates forming the tension members of the offset link
Offset Link Pin (K) A pin used in offset links

Critical Insight: The connecting link is often the weakest point in a chain. It is the first place to inspect when diagnosing premature wear or unexpected failure. the practitioner found that the connecting link on his failed No. 80 chain showed signs of fatigue cracking that predated the catastrophic failure by at least 2,000 hours.



ANSI Roller Chain Dimensions — The Master Reference Table

Every dimension on a standard roller chain is proportional to the pitch. This single principle governs the entire design system and makes it possible to scale chain selection across the full range of sizes.

The following relationships apply across all standard series chains:

  • Roller Diameter Dr58PD_r \approx \frac{5}{8}P
  • Chain Width W58PW \approx \frac{5}{8}P (distance between link plates)
  • Pin Diameter Dp516PD_p \approx \frac{5}{16}P or 12\frac{1}{2} of the roller diameter
  • Link Plate Thickness (Standard Series) LPT18PLPT \approx \frac{1}{8}P
  • Link Plate Thickness (Heavy Series) ≈ that of the next larger pitch standard series chain
  • Maximum Height of Roller Link Plates = 0.95P0.95P
  • Maximum Height of Pin Link Plates = 0.82P0.82P
  • Maximum Pin Diameter = nominal pin diameter + 0.0005 inch
  • Minimum Hole in Bushing = nominal pin diameter + 0.0015 inch
  • Maximum Width of Roller Link = nominal width of chain + (2.12 × nominal link plate thickness)
  • Minimum Distance between Pin Link Plates = maximum width of roller link + 0.002 inch

ANSI Roller Chain Dimensions (ANSI/ASME B29.1M-1986)

Pitch (P) Max. Roller Dia. (Dr) Std. Chain No. Width (W) Pin Dia. (Dp) Link Plate Thickness (LPT) Measuring Load (lb.) Heavy Series LPT
0.250 0.130* 25 0.125 0.0905 0.030 18
0.375 0.200* 35 0.188 0.141 0.050 18
0.500 0.306 41 0.250 0.141 0.050 18
0.500 0.312 40 0.312 0.156 0.060 31
0.625 0.400 50 0.375 0.200 0.080 49
0.750 0.469 60 0.500 0.234 0.094 70 0.125
1.000 0.625 80 0.625 0.312 0.125 125 0.156
1.250 0.750 100 0.750 0.375 0.156 195 0.187
1.500 0.875 120 1.000 0.437 0.187 281 0.219
1.750 1.000 140 1.000 0.500 0.219 383 0.250
2.000 1.125 160 1.250 0.562 0.250 500 0.281
2.250 1.406 180 1.406 0.687 0.281 633 0.312
2.500 1.562 200 1.500 0.781 0.312 781 0.375
3.000 1.875 240 1.875 0.937 0.375 1000 0.500

* Bushing diameter — these size chains have no rollers.



Decoding Standard Roller Chain Numbers

the practitioner's first lesson in his deep-dive was embarrassingly simple: he had been ordering chains for years without ever understanding what the numbers actually meant. Once you know the code, you will never misidentify a chain again.


The ANSI Numbering System

  • The right-hand digit tells you the chain type:

    • 0 = roller chain of usual proportions
    • 1 = lightweight chain
    • 5 = rollerless bushing chain
  • The digits to the left of the right-hand figure denote the number of 1/8-inch increments in the pitch

  • The letter "H" following the chain number denotes the heavy series

  • A hyphenated number suffix denotes the strand count:

    • -2 = double strand
    • -3 = triple strand
    • -4 = quadruple strand

Decoding Examples

Chain Number Pitch Calculation Result
25 2 × 1/8" = 0.250" 1/4-inch pitch, standard roller
35 3 × 1/8" = 0.375" 3/8-inch pitch, rollerless bushing
40 4 × 1/8" = 0.500" 1/2-inch pitch, standard roller
41 4 × 1/8" = 0.500" 1/2-inch pitch, lightweight
50 5 × 1/8" = 0.625" 5/8-inch pitch, standard roller
60 6 × 1/8" = 0.750" 3/4-inch pitch, standard roller
80 8 × 1/8" = 1.000" 1-inch pitch, standard roller
80H 8 × 1/8" = 1.000" 1-inch pitch, heavy series
100 10 × 1/8" = 1.250" 1-1/4-inch pitch, standard roller
120 12 × 1/8" = 1.500" 1-1/2-inch pitch, standard roller
80-2 8 × 1/8" = 1.000" 1-inch pitch, double strand
60-3 6 × 1/8" = 0.750" 3/4-inch pitch, triple strand

Key Chain Variants

Heavy Series (H): Made in 3/4-inch and larger pitches with thicker link plates than the regular standard. Their value is only in the acceptance of higher loads at lower speeds.

Lightweight Machinery Chain (No. 41): A 1/2-inch pitch chain, 1/4-inch wide, with 0.306-inch diameter rollers and 0.141-inch pin diameter. Minimum ultimate tensile strength is 1,500 pounds.

Multiple-Strand Chain: Essentially an assembly of two or more single-strand chains placed side by side with pins extending through the entire width to maintain alignment.


Chain Length Tolerances and Measuring Loads

  • Tolerances for chain length: New chains, under standard measuring load, must not be underlength. Overlength tolerance = 0.001(pitch in inches)2+0.015\frac{0.001}{(\text{pitch in inches})^2} + 0.015 inch per foot
  • Measurements must be taken over a length of at least 12 inches
  • Measuring load: Equal to 1% of the ultimate tensile strength, with a minimum of 18 lb. and a maximum of 1,000 lb. for both single and multiple-strand chains
  • Minimum ultimate tensile strength (single-strand): 12,500×(pitch in inches)2\geq 12{,}500 \times (\text{pitch in inches})^2 pounds
  • Multiple-strand tensile strength: Single-strand strength × number of strands

What this means in practice: A No. 80 chain (1-inch pitch) has a minimum ultimate tensile strength of 12,500×12=12,50012{,}500 \times 1^2 = 12{,}500 lb. A No. 80-2 (double strand) doubles that to 25,000 lb. But remember — ultimate tensile strength is not your working load. It is the point where the chain breaks. Your working load should be a small fraction of this number.



Types of Sprockets

Sprocket selection is half the equation in chain drive design. Four standard designs exist, each suited to different mounting and load conditions.


The Four ANSI Sprocket Types

Type Description Best Application
Type A Plain plate (no hub) Light-duty, low-speed applications with minimal overhung load
Type B Hub on one side only General-purpose drives where space is limited on one side
Type C Hub on both sides Heavy-duty drives requiring maximum shaft support and stability
Type D Detachable hub Applications requiring frequent sprocket changes or field maintenance

Additionally, shear pin sprockets and slip clutch sprockets are available for drives where overload protection is critical — designed to prevent damage to the drive or downstream equipment caused by overloads or stalling.



Attachments — Adapting Chains for Conveying, Elevating, and Timing

Standard chain components can be modified with attachments to adapt the chain for conveying, elevating, and timing operations. Two components are commonly modified:

  • Link plates — provided with extended lugs that may be straight or bent
  • Chain pins — extended in length to project substantially beyond the outer surface of the pin link plates

Chain No. Straight Link Plate Extension Bent Link Plate Extension Extended Pin
B min. D F B min. C D Dp Nominal L
35 0.102 0.375 0.050 0.102 0.250 0.375 0.141 0.375
40 0.131 0.500 0.060 0.131 0.312 0.500 0.156 0.375
50 0.200 0.625 0.080 0.200 0.406 0.625 0.200 0.469
60 0.200 0.719 0.094 0.200 0.469 0.750 0.234 0.562
80 0.261 0.969 0.125 0.261 0.625 1.000 0.312 0.750
100 0.323 1.250 0.156 0.323 0.781 1.250 0.375 0.938
120 0.386 1.438 0.188 0.386 0.906 1.500 0.437 1.125
140 0.448 1.750 0.219 0.448 1.125 1.750 0.500 1.312
160 0.516 2.000 0.250 0.516 1.250 2.000 0.562 1.500
200 0.641 2.500 0.312 0.641 1.688 2.500 0.781 1.875

All dimensions in inches.



Sprocket Classes — Commercial vs. Precision

ANSI/ASME B29.1M-1993 provides for two classes of sprockets: Commercial and Precision. The selection between them is a matter of drive application judgment.


When to Use Each Class

Commercial Sprockets are adequate for:

  • Moderate to slow speed drives
  • Applications requiring Type A or Type B lubrication
  • General industrial machinery without critical timing requirements

Precision Sprockets may be required for:

  • Extreme high speed combined with high load
  • Fixed center distance drives
  • Critical timing or register problems
  • Close clearance with outside interference
  • Applications requiring Type C lubrication

Rule of thumb: If your drive requires oil stream lubrication (Type C), consult the manufacturer about whether Precision sprockets are needed.



Keys, Keyways, and Set Screws for Sprocket Mounting

To secure sprockets to the shaft, both keys and set screws should be used. The key prevents rotation; the set screw prevents longitudinal displacement.

Critical installation practice: Keys should be fitted carefully in both the shaft and sprocket keyways to eliminate all backlash, especially on fluctuating loads. A set screw should be located over a flat key to secure it.


Sprocket Bore / Shaft Diameter Range Recommended Set Screw Size
1/2 through 7/8 inch 1/4 inch
15/16 through 1-3/4 inches 3/8 inch
1-13/16 through 2-1/4 inches 1/2 inch
2-5/16 through 3-1/4 inches 5/8 inch
3-3/8 through 4-1/2 inches 3/4 inch
4-3/4 through 5-1/2 inches 7/8 inch
5-3/4 through 7-3/8 inches 1 inch
7-1/2 through 12-1/2 inches 1-1/4 inch


Sprocket Diameters — The Four Critical Measurements

Every sprocket has four diameters you must understand. Getting any one of them wrong during inspection, ordering, or design will cost you time and money.


. Pitch Diameter (PD)

The pitch diameter is the diameter of the pitch circle — the circle that passes through the centers of the link pins as the chain wraps on the sprocket.

Because the chain pitch is measured on a straight line between adjacent pin centers, the chain pitch lines form a series of chords of the pitch circle.

Pitch Diameter=Psin(180°÷N)\text{Pitch Diameter} = \frac{P}{\sin(180° \div N)}

Where PP = pitch and NN = number of teeth.


. Bottom Diameter

The bottom diameter is the diameter of a circle tangent to the seating curve at the bottom of the tooth gap.

Bottom Diameter=Pitch DiameterDr\text{Bottom Diameter} = \text{Pitch Diameter} - D_r

Where DrD_r = roller diameter.


. Caliper Diameter

This is the measurement you take with a caliper to verify the sprocket — and it depends on whether the tooth count is even or odd.

For even-tooth sprockets: Caliper Diameter=Pitch DiameterDr\text{Caliper Diameter} = \text{Pitch Diameter} - D_r

For odd-tooth sprockets: Caliper Diameter=Caliper Factor×PDr\text{Caliper Diameter} = \text{Caliper Factor} \times P - D_r

Where: Caliper Factor=PD×cos(90°N)\text{Caliper Factor} = PD \times \cos\left(\frac{90°}{N}\right)

Why this matters: When the practitioner was verifying his replacement sprockets, he initially got a measurement that didn't match the table. He was measuring a 63-tooth sprocket (odd) using the even-tooth formula. Once he applied the caliper factor, the numbers matched perfectly.


. Outside Diameter (OD)

The diameter over the tips of the teeth.

For turned sprockets: OD=P[0.6+cot(180°N)]OD = P \left[0.6 + \cot\left(\frac{180°}{N}\right)\right]

For topping hob cut sprockets: OD=Pitch DiameterDr+2×Whole Depth of Topping Hob CutOD = \text{Pitch Diameter} - D_r + 2 \times \text{Whole Depth of Topping Hob Cut}


ANSI Roller Chain Sprocket Diameters (1-Inch Pitch — ANSI/ASME B29.1M-1993)

For any other pitch, multiply all values by the pitch.

No. Teeth Pitch Dia. OD (Turned) OD (Hob Cut) Caliper Factor
9 2.9238 3.348 3.364 2.8794
10 3.2361 3.678 3.676
11 3.5495 4.006 3.990 3.5133
12 3.8637 4.332 4.352
13 4.1786 4.657 4.666 4.1481
14 4.4940 4.981 4.982
15 4.8097 5.304 5.298 4.7834
16 5.1258 5.627 5.614
17 5.4422 5.949 5.930 5.4190
18 5.7588 6.271 6.292
19 6.0755 6.593 6.609 6.0548
20 6.3924 6.914 6.926
21 6.7095 7.235 7.243 6.6907
22 7.0267 7.555 7.560
23 7.3439 7.876 7.877 7.3268
24 7.6613 8.196 8.195
25 7.9787 8.516 8.512 7.9630
30 9.5668 10.114 10.100
35 11.1558 11.711 11.728 11.1446
40 12.7455 13.306 13.318
45 14.3355 14.901 14.908 14.3269
50 15.9260 16.495 16.498
60 19.1073 19.681 19.680
70 22.2892 22.867 22.861
80 25.4713 26.052 26.043
90 28.6537 29.236 29.226
100 31.8362 32.421 32.408

Caliper factor values are shown only for odd-tooth sprockets. Even-tooth sprockets use Pitch Diameter − Roller Diameter directly.



Tolerances on the Caliper Diameter

Caliper diameter tolerances are minus only — meaning your sprocket can be at or below the nominal caliper diameter, but never above it.

The tolerance formulas are:

Precision Sprockets: Tolerance=0.001PN+0.003 inch\text{Tolerance} = 0.001P\sqrt{N} + 0.003 \text{ inch}

Commercial Sprockets: Tolerance=0.002PN+0.006 inch\text{Tolerance} = 0.002P\sqrt{N} + 0.006 \text{ inch}

(Commercial tolerances are exactly twice those of Precision sprockets.)


Minus Tolerances on Caliper Diameters — Precision Sprockets (ANSI/ASME B29.1M-1993)

Pitch Up to 15 Teeth 16–24 25–35 36–48 49–63 64–80 81–99 100–120 121–143 144+
0.250 0.004 0.004 0.004 0.005 0.005 0.005 0.005 0.006 0.006 0.006
0.375 0.004 0.004 0.004 0.005 0.005 0.006 0.006 0.006 0.007 0.007
0.500 0.004 0.005 0.0055 0.006 0.0065 0.007 0.0075 0.008 0.0085 0.009
0.625 0.005 0.0055 0.006 0.007 0.008 0.009 0.009 0.009 0.010 0.011
0.750 0.005 0.006 0.007 0.008 0.009 0.010 0.010 0.011 0.012 0.013
1.000 0.006 0.007 0.008 0.009 0.010 0.011 0.012 0.013 0.014 0.015
1.250 0.007 0.008 0.009 0.010 0.012 0.013 0.014 0.016 0.017 0.018
1.500 0.007 0.009 0.0105 0.012 0.013 0.015 0.016 0.018 0.019 0.021
1.750 0.008 0.010 0.012 0.013 0.015 0.017 0.019 0.020 0.022 0.024
2.000 0.009 0.011 0.013 0.015 0.017 0.019 0.021 0.023 0.025 0.027
2.250 0.010 0.012 0.014 0.016 0.018 0.021 0.023 0.025 0.028 0.030
2.500 0.010 0.013 0.015 0.018 0.020 0.023 0.025 0.028 0.030 0.033
3.000 0.012 0.015 0.018 0.021 0.024 0.027 0.030 0.033 0.036 0.039

All values in inches. Commercial tolerances are twice these values.



Sprocket Tooth Section Profile Dimensions (ANSI/ASME B29.1M-1993)

These dimensions govern the cross-sectional shape of the sprocket tooth, including chamfer depth, chamfer width, minimum radius, and the transverse pitch that defines strand spacing for multiple-strand chains.

Std. Chain No. Chain Pitch (P) Depth of Chamfer (h) Width of Chamfer (g) Min. Radius (Rc) Transverse Pitch K (Standard) Transverse Pitch K (Heavy)
25 0.250 0.125 0.031 0.265 0.252
35 0.375 0.188 0.047 0.398 0.399
41 0.500 0.250 0.062 0.531
40 0.500 0.250 0.062 0.531 0.566
50 0.625 0.312 0.078 0.664 0.713
60 0.750 0.375 0.094 0.796 0.897 1.028
80 1.000 0.500 0.125 1.062 1.153 1.283
100 1.250 0.625 0.156 1.327 1.408 1.539
120 1.500 0.750 0.188 1.593 1.789 1.924
140 1.750 0.875 0.219 1.858 1.924 2.055
160 2.000 1.000 0.250 2.124 2.305 2.437
180 2.250 1.125 0.281 2.392 2.592 2.723
200 2.500 1.250 0.312 2.654 2.817 3.083
240 3.000 1.500 0.375 3.187 3.458 3.985

Maximum flange thickness fillet radius: rf=0.04Pr_f = 0.04P for maximum hub diameter.

Whole Depth: WD=12Dr+P[0.312tan(90°Na)]WD = \frac{1}{2}D_r + P\left[0.3 - \frac{1}{2}\tan\left(\frac{90°}{N_a}\right)\right] where NaN_a is the intermediate number of teeth for the topping hob.



Sprocket Flange Thickness (ANSI/ASME B29.1M-1993)

Std. Chain No. Width of Chain (W) Max Flange Thickness Minus Tol. on t Tolerance on M Max. Variation of t
Single Double & Triple Quad. & Over Commercial ± Precision − Commercial Precision
25 0.125 0.110 0.106 0.096 0.021 0.007 0.007 0.021 0.004
35 0.188 0.169 0.163 0.150 0.027 0.008 0.008 0.027 0.004
40 0.312 0.284 0.275 0.256 0.035 0.009 0.009 0.035 0.004
50 0.375 0.343 0.332 0.310 0.036 0.010 0.010 0.036 0.005
60 0.500 0.459 0.444 0.418 0.036 0.011 0.011 0.036 0.006
80 0.625 0.575 0.556 0.526 0.040 0.012 0.012 0.040 0.006
100 0.750 0.692 0.669 0.633 0.046 0.014 0.014 0.046 0.007
120 1.000 0.924 0.894 0.848 0.057 0.016 0.016 0.057 0.008
140 1.000 0.924 0.894 0.848 0.057 0.016 0.016 0.057 0.008
160 1.250 1.156 1.119 1.063 0.062 0.018 0.018 0.062 0.009
180 1.406 1.302 1.259 1.198 0.068 0.020 0.020 0.068 0.010
200 1.500 1.389 1.344 1.278 0.072 0.021 0.021 0.072 0.010
240 1.875 1.738 1.682 1.602 0.087 0.025 0.025 0.087 0.012

All dimensions in inches.



Proportions of Sprockets


Single-Strand and Multiple-Strand Cast Sprockets

The following formulas define the proportions of cast roller chain sprockets per the American Chain Association:

For single-strand and multiple-strand sprockets:

Dimension Formula
Hub Length (H) 0.375+D6+0.01×PD0.375 + \frac{D}{6} + 0.01 \times PD
Width (E) 0.625P+0.93W0.625P + 0.93W
Fillet (F) 0.150+0.25P0.150 + 0.25P
Hub Length (L) 4H4H (for semi-steel castings)
Chamfer (C) 0.5P0.5P
Chamfer (C') 0.9P0.9P
Hub (G) 2T2T
Radius (R) 0.4P0.4P (single-strand) or 0.5T0.5T (multiple-strand)

Where PP = chain pitch, WW = nominal chain width, DD = shaft diameter, and PDPD = pitch diameter.


Sprocket Web Thickness for Various Pitches

Pitch (P) Web Thickness (T) — Single Web Thickness (T) — Multiple
3/8 0.312 0.375
1/2 0.375 0.406
5/8 0.406 0.437
3/4 0.437 0.500
1 0.500 0.562
1-1/4 0.562 0.625
1-1/2 0.625 0.750
1-3/4 0.750 0.875
2 0.875 1.000
2-1/4 1.000 1.125
2-1/2 1.125 1.250
3 1.250 1.500

Bar-Steel Sprockets

For bar-steel sprockets, the American Chain Association provides:

Dimension Formula
Hub Length (H) Z+D6+0.01×PDZ + \frac{D}{6} + 0.01 \times PD
Hub Length (L) 3.3H3.3H (normally), minimum 2.6H2.6H
Hub Diameter (HD) D+2HD + 2H (not exceeding maximum hub diameter MHD)
Maximum Hub Diameter (MHD) P[cot(180°N)1]0.030P\left[\cot\left(\frac{180°}{N}\right) - 1\right] - 0.030

Where ZZ varies with pitch diameter:

  • PD up to 2 inches: Z=0.125Z = 0.125 inch
  • PD 2–4 inches: Z=0.187Z = 0.187 inch
  • PD 4–6 inches: Z=0.250Z = 0.250 inch
  • PD over 6 inches: Z=0.375Z = 0.375 inch

Spoke Design Assumptions

When sprocket wheels are designed with spokes, the usual assumptions are:

  • The maximum torque load equals the chain tensile strength × the sprocket pitch radius
  • The torque load is equally divided between the arms by the rim
  • Each arm acts as a cantilever beam
  • Arms are generally elliptical in cross section, with the major axis twice the minor axis


Selection of Chain and Sprockets

This is where the practitioner's education got deadly practical. Selecting the right chain and sprocket combination requires balancing multiple constraints simultaneously.


The Core Principle

The smallest applicable pitch of roller chain is always desirable for quiet operation and high speed. However, short pitch with high working load can often be obtained through multiple-strand chain rather than jumping to a larger single-strand pitch.


Selection Process

Step 1: Select the small sprocket large enough to accommodate the shaft. Check maximum bore and hub diameters against the shaft size.

Step 2: Determine the number of teeth in the larger sprocket based on the desired speed ratio. Do not overemphasize exactness — a minor change in speed of one or both shafts usually produces satisfactory operation without creating a cumbersome installation.

Step 3: Verify the power rating accounts for all three critical factors:

  1. Service Factors
  2. Multiple-Strand Factors
  3. Lubrication Type

Engineering use and verification

Begin with load paths, motion, interfaces and credible failure modes. Define duty cycle, environment, alignment, lubrication, manufacturing variation and maintenance access before choosing a component. Check static strength, fatigue, stiffness, heat, wear and fastening together because improving one constraint can worsen another. Record assumptions and verify the assembled system, not just catalogue ratings for isolated parts.

  • Confirm scope, assumptions, interfaces and required outcome.
  • Use one controlled unit system and show every conversion.
  • Identify current project, customer and regulatory requirements.
  • Separate source examples from mandatory acceptance criteria.
  • Check calculations, tables and selections by an independent method.
  • Verify safety, maintainability and credible failure modes.
  • Record evidence, revisions, approvals and unresolved limitations.
  • Validate the result under representative operating conditions.

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