KEVOS® MAKEOS · Fabrication
Rolled Plate Plan (Roll-To Radius for Springback, Blank Length, Radius Inspection)
To what radius must I roll this plate so it springs back to the radius I want, how long is the blank, and does my roll-gauge measurement show the radius is within tolerance?
Plan for rolling a plate or sheet to a radius: the radius to roll to so that after springback it opens to the target radius, found by solving the springback relation (as the bending springback tool), the springback change, the blank length along the mid-thickness for the arc angle, and inspection of the rolled radius from a measurement over two rolls (as the arc radius from rolls tool), against the radius tolerance.
Open the calculatorRuns in your browser. No account needed.
How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Target inside radius | mm | Inside radius the finished part must have. |
| Plate thickness | mm | Thickness of the plate. |
| Yield strength | MPa | Yield strength of the plate. |
| Elastic modulus | GPa | Elastic modulus of the plate. |
| Arc angle of the part | ° | Angle of arc the part covers (360° for a full shell). |
| Inspection over rolls | ||
| Surface measured | choice | Which surface the roll gauge measures. |
| Gauge set-up | choice | How the rolls and height reading are arranged (as the arc radius from rolls tool). |
| Roll diameter | mm | Diameter of the two gauge rolls. |
| Measurement over the rolls | mm | Measurement over the two rolls. |
| Height measured | mm | Height reading of the arc. |
| Radius tolerance (±) | mm | Plus-or-minus tolerance on the radius. |
Method and formulas
- Final radius R_f = R_i ÷ (4x³ − 3x + 1) with x = R_i S_y ÷ (E t) (as the bending springback tool), solved for the roll-to radius R_i that gives the target.
- Blank length = (R + t ÷ 2) × arc angle in radians along the mid-thickness.
- Measured radius from the rolls: (c_b² + c_e²) ÷ 2c_e ± D ÷ 2 (as the arc radius from rolls tool), compared with the target for the surface measured.
- Example: roll to 218.84 mm so it springs back to 300 mm; cut the blank 947.19 mm long; the gauge reads 300.37 mm.
Limitations
- Elastic–perfectly plastic material; work hardening makes the springback larger.
- Ends of rolled plates stay flat unless pre-bent.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Set plate rolls for a shell or curved panel
- Develop the blank for a rolled part
- Inspect a rolled radius with rolls and a height gauge
Who it is for
- Boilermakers
- Fabrication supervisors
- Inspectors
What you get
- Roll-to radius and springback
- Blank length
- Measured radius and deviation
Interpreting the result
- Thin, high-strength plate rolled to a large radius springs back most: roll tighter in small steps and gauge often.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1351–1352, 687–688. Topic reference; no source tables or recommended settings are reproduced.
WORKOS tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.
