Recovery Stress in Beams for Non Linear Relation Calculator

✖Non Linear Recovery Bending Moment is the bending moment that remains in a material after unloading, causing residual stresses and deformation.ⓘ Non Linear Recovery Bending Moment [M_rec]			+10% -10%
✖Depth Yielded Plastically is the amount of material deformed plastically under residual stresses, affecting the material's mechanical properties and structural integrity.ⓘ Depth Yielded Plastically [y]			+10% -10%
✖Polar Moment of Inertia is a measure of an object's resistance to torsion, which is the twisting force that causes it to rotate around a pivot point.ⓘ Polar Moment of Inertia [J]			+10% -10%

✖Recovery Stress in beams for non linear relation 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 Stress in Beams for Non Linear Relation [σ_rc]

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Recovery Stress in Beams for Non Linear Relation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recovery Stress in beams for non linear relation = (Non Linear Recovery Bending Moment*Depth Yielded Plastically)/(Polar Moment of Inertia)
σ_rc = (M_rec*y)/(J)
This formula uses 4 Variables

Variables Used

Recovery Stress in beams for non linear relation - (Measured in Pascal) - Recovery Stress in beams for non linear relation 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.
Non Linear Recovery Bending Moment - (Measured in Newton Meter) - Non Linear Recovery Bending Moment is the bending moment that remains in a material after unloading, causing residual stresses and deformation.
Depth Yielded Plastically - (Measured in Meter) - Depth Yielded Plastically is the amount of material deformed plastically under residual stresses, affecting the material's mechanical properties and structural integrity.
Polar Moment of Inertia - (Measured in Meter⁴) - Polar Moment of Inertia is a measure of an object's resistance to torsion, which is the twisting force that causes it to rotate around a pivot point.

STEP 1: Convert Input(s) to Base Unit

Non Linear Recovery Bending Moment: -49162500 Newton Millimeter --> -49162.5 Newton Meter (Check conversion here)
Depth Yielded Plastically: 40.25 Millimeter --> 0.04025 Meter (Check conversion here)
Polar Moment of Inertia: 5400000 Millimeter⁴ --> 5.4E-06 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_rc = (M_rec*y)/(J) --> ((-49162.5)*0.04025)/(5.4E-06)

Evaluating ... ...

σ_rc = -366442708.333333

STEP 3: Convert Result to Output's Unit

-366442708.333333 Pascal -->-366.442708333333 Megapascal (Check conversion here)

FINAL ANSWER

-366.442708333333 ≈ -366.442708 Megapascal <-- Recovery Stress in beams for non linear relation

(Calculation completed in 00.020 seconds)

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< Residual Stresses for Non Linear Stress Strain Relations Calculators

Residual Stress in Beams for Non Linear Relation when Y Lies between 0 and n

LaTeX Go Non Linear Residual Stresses(Y lies between 0&η) = -(Yield stress(non-linear)*(Depth Yielded Between 0 and η/Depth of Outermost Shell Yields)^Material Constant+(Non Linear Recovery Bending Moment*Depth Yielded Plastically)/((Depth of Rectangular Beam*Depth of Rectangular Beam^3)/12))

Elasto Plastic Bending Moment for Non-Linear Relation

LaTeX Go Non Linear Elasto Plastic Bending Moment = Yield stress(non-linear)*Depth of Rectangular Beam*(Depth of Rectangular Beam^2/4-(Material Constant*Depth of Outermost Shell Yields^2)/(Material Constant+2))

Recovery Bending Moment for Non Linear Relation

LaTeX Go Non Linear Recovery Bending Moment = -Yield stress(non-linear)*Depth of Rectangular Beam*(Depth of Rectangular Beam^2/4-(Material Constant*Depth of Outermost Shell Yields^2)/(Material Constant+2))

Recovery Stress in Beams for Non Linear Relation

LaTeX Go Recovery Stress in beams for non linear relation = (Non Linear Recovery Bending Moment*Depth Yielded Plastically)/(Polar Moment of Inertia)

Recovery Stress in Beams for Non Linear Relation Formula

LaTeX Go

Recovery Stress in beams for non linear relation = (Non Linear Recovery Bending Moment*Depth Yielded Plastically)/(Polar Moment of Inertia)
σ_rc = (M_rec*y)/(J)

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 for Non Linear Relation?

Recovery Stress in Beams for Non Linear Relation calculator uses Recovery Stress in beams for non linear relation = (Non Linear Recovery Bending Moment*Depth Yielded Plastically)/(Polar Moment of Inertia) to calculate the Recovery Stress in beams for non linear relation, Recovery Stress in Beams for Non Linear Relation formula is defined as a measure of the residual stress in a beam, which is a critical parameter in evaluating the structural integrity of a beam under various loads, and is essential in predicting the beam's behavior under different conditions. Recovery Stress in beams for non linear relation is denoted by σ_rc symbol.

How to calculate Recovery Stress in Beams for Non Linear Relation using this online calculator? To use this online calculator for Recovery Stress in Beams for Non Linear Relation, enter Non Linear Recovery Bending Moment (M_rec), Depth Yielded Plastically (y) & Polar Moment of Inertia (J) and hit the calculate button. Here is how the Recovery Stress in Beams for Non Linear Relation calculation can be explained with given input values -> -0.000366 = ((-49162.5)*0.04025)/(5.4E-06).

FAQ

What is Recovery Stress in Beams for Non Linear Relation?

Recovery Stress in Beams for Non Linear Relation formula is defined as a measure of the residual stress in a beam, which is a critical parameter in evaluating the structural integrity of a beam under various loads, and is essential in predicting the beam's behavior under different conditions and is represented as σ_rc = (M_rec*y)/(J) or Recovery Stress in beams for non linear relation = (Non Linear Recovery Bending Moment*Depth Yielded Plastically)/(Polar Moment of Inertia). Non Linear Recovery Bending Moment is the bending moment that remains in a material after unloading, causing residual stresses and deformation, Depth Yielded Plastically is the amount of material deformed plastically under residual stresses, affecting the material's mechanical properties and structural integrity & Polar Moment of Inertia is a measure of an object's resistance to torsion, which is the twisting force that causes it to rotate around a pivot point.

How to calculate Recovery Stress in Beams for Non Linear Relation?

Recovery Stress in Beams for Non Linear Relation formula is defined as a measure of the residual stress in a beam, which is a critical parameter in evaluating the structural integrity of a beam under various loads, and is essential in predicting the beam's behavior under different conditions is calculated using Recovery Stress in beams for non linear relation = (Non Linear Recovery Bending Moment*Depth Yielded Plastically)/(Polar Moment of Inertia). To calculate Recovery Stress in Beams for Non Linear Relation, you need Non Linear Recovery Bending Moment (M_rec), Depth Yielded Plastically (y) & Polar Moment of Inertia (J). With our tool, you need to enter the respective value for Non Linear Recovery Bending Moment, Depth Yielded Plastically & Polar Moment of Inertia 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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