Recovery Bending Moment Calculator

✖The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.ⓘ Yield Stress [σ₀]			+10% -10%
✖Breadth of Rectangular Beam is the width of a rectangular beam, a crucial parameter in calculating residual stresses in a beam after manufacturing or fabrication.ⓘ Breadth of Rectangular Beam [b]			+10% -10%
✖Depth of Rectangular Beam is the vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses.ⓘ Depth of Rectangular Beam [d]			+10% -10%
✖Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.ⓘ Depth of Outermost Shell Yields [η]			+10% -10%

✖Recovery Bending Moment is the moment that remains in a material after the removal of external loads, influencing its residual stresses and structural integrity.ⓘ Recovery Bending Moment [M_Rec]

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Recovery Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12)
M_Rec = -((σ₀*b*(3*d^2-4*η^2))/12)
This formula uses 5 Variables

Variables Used

Recovery Bending Moment - (Measured in Newton Meter) - Recovery Bending Moment is the moment that remains in a material after the removal of external loads, influencing its residual stresses and structural integrity.
Yield Stress - (Measured in Pascal) - The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.
Breadth of Rectangular Beam - (Measured in Meter) - Breadth of Rectangular Beam is the width of a rectangular beam, a crucial parameter in calculating residual stresses in a beam after manufacturing or fabrication.
Depth of Rectangular Beam - (Measured in Meter) - Depth of Rectangular Beam is the vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses.
Depth of Outermost Shell Yields - (Measured in Meter) - Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.

STEP 1: Convert Input(s) to Base Unit

Yield Stress: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Breadth of Rectangular Beam: 75 Millimeter --> 0.075 Meter (Check conversion here)
Depth of Rectangular Beam: 95 Millimeter --> 0.095 Meter (Check conversion here)
Depth of Outermost Shell Yields: 30 Millimeter --> 0.03 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_Rec = -((σ₀*b*(3*d^2-4*η^2))/12) --> -((250000000*0.075*(3*0.095^2-4*0.03^2))/12)

Evaluating ... ...

M_Rec = -36679.6875

STEP 3: Convert Result to Output's Unit

-36679.6875 Newton Meter -->-36679687.5 Newton Millimeter (Check conversion here)

FINAL ANSWER

-36679687.5 Newton Millimeter <-- Recovery Bending Moment

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Plasticity » Residual Stresses » Mechanical » Residual Stresses in Plastic Bending » Recovery Bending Moment

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< Residual Stresses in Plastic Bending Calculators

Residual Stress in Beams when Bending Stress is Equal to Yield Stress

LaTeX Go Residual Stress in Beams above Yielding Point = -(Yield Stress+(Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12))

Residual Stress in Beams when Y Lies between 0 and n

LaTeX Go Residual Stress in beams (Y lies between 0 and η) = (Recovery Bending Moment*Depth Yielded Between 0 and η)/((Depth of Rectangular Beam*Depth of Rectangular Beam^3)/12)

Recovery Bending Moment

LaTeX Go Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12)

Recovery Stress in Beams

LaTeX Go Recovery Stress in Beams = (Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12)

Recovery Bending Moment Formula

LaTeX Go

Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12)
M_Rec = -((σ₀*b*(3*d^2-4*η^2))/12)

What is Recovery Bending Moment?

when a beam so bent is applied with a moment of same magnitude in the opposite direction, then the recovery of stress takes place and the opposite moment is called Recovery bending moment.

How to Calculate Recovery Bending Moment?

Recovery Bending Moment calculator uses Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12) to calculate the Recovery Bending Moment, Recovery Bending Moment formula is defined as a measure of the internal stress that remains in a material after it has been subjected to deformation, which can affect its subsequent behavior and performance under various types of loading conditions. Recovery Bending Moment is denoted by M_Rec symbol.

How to calculate Recovery Bending Moment using this online calculator? To use this online calculator for Recovery Bending Moment, enter Yield Stress (σ₀), Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Depth of Outermost Shell Yields (η) and hit the calculate button. Here is how the Recovery Bending Moment calculation can be explained with given input values -> -36679687500 = -((250000000*0.075*(3*0.095^2-4*0.03^2))/12).

FAQ

What is Recovery Bending Moment?

Recovery Bending Moment formula is defined as a measure of the internal stress that remains in a material after it has been subjected to deformation, which can affect its subsequent behavior and performance under various types of loading conditions and is represented as M_Rec = -((σ₀*b*(3*d^2-4*η^2))/12) or Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12). The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically, Breadth of Rectangular Beam is the width of a rectangular beam, a crucial parameter in calculating residual stresses in a beam after manufacturing or fabrication, Depth of Rectangular Beam is the vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses & Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.

How to calculate Recovery Bending Moment?

Recovery Bending Moment formula is defined as a measure of the internal stress that remains in a material after it has been subjected to deformation, which can affect its subsequent behavior and performance under various types of loading conditions is calculated using Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12). To calculate Recovery Bending Moment, you need Yield Stress (σ₀), Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Depth of Outermost Shell Yields (η). With our tool, you need to enter the respective value for Yield Stress, Breadth of Rectangular Beam, Depth of Rectangular Beam & Depth of Outermost Shell Yields and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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