## Radius of curvature given bending stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of curvature = ((Elastoplastic modulus*Depth yielded plastically^Material constant)/Maximum bending stress in plastic state)^(1/Material constant)
R = ((H*Y^n)/σ)^(1/n)
This formula uses 5 Variables
Variables Used
Radius of curvature - (Measured in Millimeter) - Radius of curvature the minimum radius one can bend a pipe, tube, sheet, cable or hose without kinking it, damaging it, or shortening its life.
Elastoplastic modulus - Elastoplastic modulus is the constant used when the material yields plastically.
Depth yielded plastically - (Measured in Millimeter) - Depth yielded plastically is the amount of depth of the beam yielded plastically from it's outermost fiber.
Material constant - Material constant is the constant used when the beam yielded plastically.
Maximum bending stress in plastic state - (Measured in Megapascal) - Maximum bending stress in plastic state is defined as the stresses within a beam exceed the elastic limit, then plastic deformation will occur.
STEP 1: Convert Input(s) to Base Unit
Elastoplastic modulus: 700 --> No Conversion Required
Depth yielded plastically: 40 Millimeter --> 40 Millimeter No Conversion Required
Material constant: 0.25 --> No Conversion Required
Maximum bending stress in plastic state: 61 Megapascal --> 61 Megapascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = ((H*Y^n)/σ)^(1/n) --> ((700*40^0.25)/61)^(1/0.25)
Evaluating ... ...
R = 693637.894585096
STEP 3: Convert Result to Output's Unit
693.637894585096 Meter -->693637.894585096 Millimeter (Check conversion here)
693637.894585096 Millimeter <-- Radius of curvature
(Calculation completed in 00.000 seconds)
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## < 4 Nonlinear Behavior of Beams Calculators

Radius of curvature given bending stress
Radius of curvature = ((Elastoplastic modulus*Depth yielded plastically^Material constant)/Maximum bending stress in plastic state)^(1/Material constant)
Nth moment of inertia
Nth moment of inertia = (Breadth of rectangular beam*Depth of rectangular beam^(Material constant+2))/((Material constant+2)*2^(Material constant+1))
Maximum Bending Stress in Plastic State
Maximum bending stress in plastic state = (Maximum bending moment*Depth yielded plastically^Material constant)/Nth moment of inertia
Radius of curvature given bending moment
Radius of curvature = ((Elastoplastic modulus*Nth moment of inertia )/Maximum bending moment)^(1/Material constant)

## Radius of curvature given bending stress Formula

Radius of curvature = ((Elastoplastic modulus*Depth yielded plastically^Material constant)/Maximum bending stress in plastic state)^(1/Material constant)
R = ((H*Y^n)/σ)^(1/n)

## What is radius of curvature in bending?

Bend radius, which is measured to the inside curvature, is the minimum radius one can bend a pipe, tube, sheet, cable or hose without kinking it, damaging it, or shortening its life. The smaller the bend radius, the greater is the material flexibility (as the radius of curvature decreases, the curvature increases).

## How to Calculate Radius of curvature given bending stress?

Radius of curvature given bending stress calculator uses Radius of curvature = ((Elastoplastic modulus*Depth yielded plastically^Material constant)/Maximum bending stress in plastic state)^(1/Material constant) to calculate the Radius of curvature, The Radius of curvature given bending stress formula is defined as the minimum radius one can bend a pipe, tube, sheet, cable or hose without kinking it, damaging it, or shortening its life. Radius of curvature is denoted by R symbol.

How to calculate Radius of curvature given bending stress using this online calculator? To use this online calculator for Radius of curvature given bending stress, enter Elastoplastic modulus (H), Depth yielded plastically (Y), Material constant (n) & Maximum bending stress in plastic state (σ) and hit the calculate button. Here is how the Radius of curvature given bending stress calculation can be explained with given input values -> 6.9E-19 = ((700*0.04^0.25)/61000000)^(1/0.25).

### FAQ

What is Radius of curvature given bending stress?
The Radius of curvature given bending stress formula is defined as the minimum radius one can bend a pipe, tube, sheet, cable or hose without kinking it, damaging it, or shortening its life and is represented as R = ((H*Y^n)/σ)^(1/n) or Radius of curvature = ((Elastoplastic modulus*Depth yielded plastically^Material constant)/Maximum bending stress in plastic state)^(1/Material constant). Elastoplastic modulus is the constant used when the material yields plastically, Depth yielded plastically is the amount of depth of the beam yielded plastically from it's outermost fiber, Material constant is the constant used when the beam yielded plastically & Maximum bending stress in plastic state is defined as the stresses within a beam exceed the elastic limit, then plastic deformation will occur.
How to calculate Radius of curvature given bending stress?
The Radius of curvature given bending stress formula is defined as the minimum radius one can bend a pipe, tube, sheet, cable or hose without kinking it, damaging it, or shortening its life is calculated using Radius of curvature = ((Elastoplastic modulus*Depth yielded plastically^Material constant)/Maximum bending stress in plastic state)^(1/Material constant). To calculate Radius of curvature given bending stress, you need Elastoplastic modulus (H), Depth yielded plastically (Y), Material constant (n) & Maximum bending stress in plastic state (σ). With our tool, you need to enter the respective value for Elastoplastic modulus, Depth yielded plastically, Material constant & Maximum bending stress in plastic state and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radius of curvature?
In this formula, Radius of curvature uses Elastoplastic modulus, Depth yielded plastically, Material constant & Maximum bending stress in plastic state. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Radius of curvature = ((Elastoplastic modulus*Nth moment of inertia )/Maximum bending moment)^(1/Material constant)
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