Fully Plastic Recovery Bending Moment Calculator

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Residual Stresses

Bending of Beams

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Residual Stresses in Plastic Bending

Residual Stresses For Idealized Stress Strain Law

Residual Stresses for Non-Linear stress strain Law

Residual Stresses for Non-Linear Stress Strain Relations

✖Breadth of rectangular beam is the width of the beam.ⓘ Breadth of Rectangular Beam [b]			+10% -10%
✖Depth of rectangular beam is the height of the beam.ⓘ Depth of Rectangular Beam [d]			+10% -10%
✖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%

✖Fully Plastic Recovery Bending Moment can be defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction and moment is recovery bending moment.ⓘ Fully Plastic Recovery Bending Moment [M_{rec_plastic}]

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Formula

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Fully Plastic Recovery Bending Moment

Formula

`"M"_{"rec_plastic"} = -("b"*"d"^2*"σ"_{"0"})/4`

Example

`"-42304687.5N*mm"=-("75mm"*("95mm")^2*"250MPa")/4`

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Fully Plastic Recovery Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4
M_{rec_plastic} = -(b*d^2*σ₀)/4
This formula uses 4 Variables

Variables Used

Fully Plastic Recovery Bending Moment - (Measured in Newton Meter) - Fully Plastic Recovery Bending Moment can be defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction and moment is recovery bending moment.
Breadth of Rectangular Beam - (Measured in Meter) - Breadth of rectangular beam is the width of the beam.
Depth of Rectangular Beam - (Measured in Meter) - Depth of rectangular beam is the height of the beam.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_{rec_plastic} = -(b*d^2*σ₀)/4 --> -(0.075*0.095^2*250000000)/4

Evaluating ... ...

M_{rec_plastic} = -42304.6875

STEP 3: Convert Result to Output's Unit

-42304.6875 Newton Meter -->-42304687.5 Newton Millimeter (Check conversion here)

FINAL ANSWER

-42304687.5 Newton Millimeter <-- Fully Plastic Recovery Bending Moment

(Calculation completed in 00.004 seconds)

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< 8 Residual Stresses in Plastic Bending Calculators

Residual Stress in Beam in Fully Plastic State

Go Residual stress in beam in plastic state = -(Yield Stress+(Fully Plastic Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12))

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

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))

Fully Plastic Recovery Stress in Beams

Go Fully plastic Recovery stress in beams = (Fully Plastic 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

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

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

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

Fully Plastic Recovery Bending Moment

Go Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4

Residual Stress in Beam in Fully Plastic State given Recovery Stress

Go Residual stress in beam in plastic state = -(Yield Stress+(Fully plastic Recovery stress in beams))

Fully Plastic Recovery Bending Moment Formula

Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4
M_{rec_plastic} = -(b*d^2*σ₀)/4

What is recovery bending moment?

Recovery bending moment formula is defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction and moment is recovery bending moment.

How to Calculate Fully Plastic Recovery Bending Moment?

Fully Plastic Recovery Bending Moment calculator uses Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4 to calculate the Fully Plastic Recovery Bending Moment, Fully Plastic Recovery Bending Moment is defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction and moment is recovery bending moment and it occurs when the beam is in plastic state. Fully Plastic Recovery Bending Moment is denoted by M_{rec_plastic} symbol.

How to calculate Fully Plastic Recovery Bending Moment using this online calculator? To use this online calculator for Fully Plastic Recovery Bending Moment, enter Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀) and hit the calculate button. Here is how the Fully Plastic Recovery Bending Moment calculation can be explained with given input values -> -42304687500 = -(0.075*0.095^2*250000000)/4.

FAQ

What is Fully Plastic Recovery Bending Moment?

Fully Plastic Recovery Bending Moment is defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction and moment is recovery bending moment and it occurs when the beam is in plastic state and is represented as M_{rec_plastic} = -(b*d^2*σ₀)/4 or Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4. Breadth of rectangular beam is the width of the beam, Depth of rectangular beam is the height of the beam & The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.

How to calculate Fully Plastic Recovery Bending Moment?

Fully Plastic Recovery Bending Moment is defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction and moment is recovery bending moment and it occurs when the beam is in plastic state is calculated using Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4. To calculate Fully Plastic Recovery Bending Moment, you need Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀). With our tool, you need to enter the respective value for Breadth of Rectangular Beam, Depth of Rectangular Beam & Yield Stress 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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