Recovery Stress in Beams Solution

STEP 0: Pre-Calculation Summary
Formula Used
Recovery Stress in Beams = (Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12)
σRec = (MRec*y)/((b*d^3)/12)
This formula uses 5 Variables
Variables Used
Recovery Stress in Beams - (Measured in Pascal) - Recovery stress in beams can be defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction, then the recovery of stress takes place.
Recovery Bending Moment - (Measured in Newton Meter) - 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 the opposite moment is called Recovery bending moment.
Depth Yielded Plastically - (Measured in Meter) - Depth Yielded Plastically is the amount of depth of the beam yielded plastically from it's outermost fiber.
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.
STEP 1: Convert Input(s) to Base Unit
Recovery Bending Moment: -22000000 Newton Millimeter --> -22000 Newton Meter (Check conversion here)
Depth Yielded Plastically: 40.25 Millimeter --> 0.04025 Meter (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σRec = (MRec*y)/((b*d^3)/12) --> ((-22000)*0.04025)/((0.075*0.095^3)/12)
Evaluating ... ...
σRec = -165248578.509987
STEP 3: Convert Result to Output's Unit
-165248578.509987 Pascal -->-165.248578509987 Megapascal (Check conversion here)
FINAL ANSWER
-165.248578509987 -165.248579 Megapascal <-- Recovery Stress in Beams
(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))
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)
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)
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))

Recovery Stress in Beams Formula

Recovery Stress in Beams = (Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12)
σRec = (MRec*y)/((b*d^3)/12)

What is Recovery stress in beams?

Recovery stress in beams can be defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction, then the recovery of stress takes place.

How to Calculate Recovery Stress in Beams?

Recovery Stress in Beams calculator uses Recovery Stress in Beams = (Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12) to calculate the Recovery Stress in Beams, Recovery Stress in Beams is defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction, then the recovery of stress takes place. Recovery Stress in Beams is denoted by σRec symbol.

How to calculate Recovery Stress in Beams using this online calculator? To use this online calculator for Recovery Stress in Beams, enter Recovery Bending Moment (MRec), Depth Yielded Plastically (y), Breadth of Rectangular Beam (b) & Depth of Rectangular Beam (d) and hit the calculate button. Here is how the Recovery Stress in Beams calculation can be explained with given input values -> -0.000165 = ((-22000)*0.04025)/((0.075*0.095^3)/12).

FAQ

What is Recovery Stress in Beams?
Recovery Stress in Beams is defined as 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 is represented as σRec = (MRec*y)/((b*d^3)/12) or Recovery Stress in Beams = (Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12). 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 the opposite moment is called Recovery bending moment, Depth Yielded Plastically is the amount of depth of the beam yielded plastically from it's outermost fiber, Breadth of rectangular beam is the width of the beam & Depth of rectangular beam is the height of the beam.
How to calculate Recovery Stress in Beams?
Recovery Stress in Beams is defined as when a beam so bent is applied with a moment of same magnitude in the opposite direction, then the recovery of stress takes place is calculated using Recovery Stress in Beams = (Recovery Bending Moment*Depth Yielded Plastically)/((Breadth of Rectangular Beam*Depth of Rectangular Beam^3)/12). To calculate Recovery Stress in Beams, you need Recovery Bending Moment (MRec), Depth Yielded Plastically (y), Breadth of Rectangular Beam (b) & Depth of Rectangular Beam (d). With our tool, you need to enter the respective value for Recovery Bending Moment, Depth Yielded Plastically, Breadth of Rectangular Beam & Depth of Rectangular Beam 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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