Recovery Bending Moment Formula

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Recovery Bending Moment is the moment that remains in a material after the removal of external loads, influencing its residual stresses and structural integrity. Check FAQs
MRec=-(σ0b(3d2-4η2)12)
MRec - Recovery Bending Moment?σ0 - Yield Stress?b - Breadth of Rectangular Beam?d - Depth of Rectangular Beam?η - Depth of Outermost Shell Yields?

Recovery Bending Moment Example

With values
With units
Only example

Here is how the Recovery Bending Moment equation looks like with Values.

Here is how the Recovery Bending Moment equation looks like with Units.

Here is how the Recovery Bending Moment equation looks like.

-36679687.5Edit=-(250Edit75Edit(395Edit2-430Edit2)12)
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Recovery Bending Moment Solution

Follow our step by step solution on how to calculate Recovery Bending Moment?

FIRST Step Consider the formula
MRec=-(σ0b(3d2-4η2)12)
Next Step Substitute values of Variables
MRec=-(250MPa75mm(395mm2-430mm2)12)
Next Step Convert Units
MRec=-(2.5E+8Pa0.075m(30.095m2-40.03m2)12)
Next Step Prepare to Evaluate
MRec=-(2.5E+80.075(30.0952-40.032)12)
Next Step Evaluate
MRec=-36679.6875N*m
LAST Step Convert to Output's Unit
MRec=-36679687.5N*mm

Recovery Bending Moment Formula Elements

Variables
Recovery Bending Moment
Recovery Bending Moment is the moment that remains in a material after the removal of external loads, influencing its residual stresses and structural integrity.
Symbol: MRec
Measurement: Moment of ForceUnit: N*mm
Note: Value can be positive or negative.
Yield Stress
The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.
Symbol: σ0
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Breadth of Rectangular Beam
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.
Symbol: b
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Depth of Rectangular Beam
Depth of Rectangular Beam is the vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Depth of Outermost Shell Yields
Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.
Symbol: η
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Residual Stresses in Plastic Bending category

​Go Recovery Stress in Beams
σRec=MRecybd312
​Go Residual Stress in Beams when Y Lies between 0 and n
σRes=MRecyddd312
​Go Residual Stress in Beams when Bending Stress is Equal to Yield Stress
σbeam=-(σ0+MRecybd312)
​Go Fully Plastic Recovery Stress in Beams
σrec_plastic=Mrec_plasticybd312

How to Evaluate Recovery Bending Moment?

Recovery Bending Moment evaluator 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 evaluate 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 MRec symbol.

How to evaluate Recovery Bending Moment using this online evaluator? To use this online evaluator for Recovery Bending Moment, enter Yield Stress 0), Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Depth of Outermost Shell Yields (η) and hit the calculate button.

FAQs on Recovery Bending Moment

What is the formula to find Recovery Bending Moment?
The formula of Recovery Bending Moment is expressed as Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12). Here is an example- -36679687500 = -((250000000*0.075*(3*0.095^2-4*0.03^2))/12).
How to calculate Recovery Bending Moment?
With Yield Stress 0), Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Depth of Outermost Shell Yields (η) we can find Recovery Bending Moment using the formula - Recovery Bending Moment = -((Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12).
Can the Recovery Bending Moment be negative?
Yes, the Recovery Bending Moment, measured in Moment of Force can be negative.
Which unit is used to measure Recovery Bending Moment?
Recovery Bending Moment is usually measured using the Newton Millimeter[N*mm] for Moment of Force. Newton Meter[N*mm], Kilonewton Meter[N*mm], Millinewton Meter[N*mm] are the few other units in which Recovery Bending Moment can be measured.
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