Recovery Stress in Beams for Non Linear Relation Calculator

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Residual Stresses in Plastic Bending

✖Non Linear 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.ⓘ Non Linear Recovery Bending Moment [M_rec]			+10% -10%
✖Depth Yielded Plastically is the amount of depth of the beam yielded plastically from it's outermost fiber.ⓘ Depth Yielded Plastically [y]			+10% -10%
✖The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.ⓘ 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

Formula

`"σ"_{"rc"} = ("M"_{"rec"}*"y")/("J")`

Example

`"-216.157407MPa"=("-29e6N*mm"*"40.25mm")/("5.4E^6mm⁴")`

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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 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.
Polar Moment of Inertia - (Measured in Meter⁴) - The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.

STEP 1: Convert Input(s) to Base Unit

Non Linear Recovery Bending Moment: -29000000 Newton Millimeter --> -29000 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) --> ((-29000)*0.04025)/(5.4E-06)

Evaluating ... ...

σ_rc = -216157407.407407

STEP 3: Convert Result to Output's Unit

-216157407.407407 Pascal -->-216.157407407407 Megapascal (Check conversion here)

FINAL ANSWER

-216.157407407407 ≈ -216.157407 Megapascal <-- Recovery Stress in beams for non linear relation

(Calculation completed in 00.004 seconds)

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< 7 Residual Stresses for Non-Linear Stress Strain Relations Calculators

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

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

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

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))

Residual Stress in Beams for Non Linear Relation (Y Lies between 0 and n) given Recovery Stress

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+(Recovery Stress in beams for non linear relation))

Residual Stress in Beams for Non Linear Relation when Whole Depth of Beam Yields

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

Recovery Stress in Beams for Non Linear Relation

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

Residual Stress in Beams for Non Linear Relation at Whole Depth of Beam Yields given Recovery Stress

Go Residual Stress in Beams above Yielding Point = -(Yield stress(non-linear)+(Recovery Stress in beams for non linear relation))

Recovery Stress in Beams for Non Linear Relation Formula

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, The Recovery Stress in beams for non linear relation formula 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 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 -> -0.000216 = ((-29000)*0.04025)/(5.4E-06).

FAQ

What is Recovery Stress in Beams for Non Linear Relation?

The Recovery Stress in beams for non linear relation formula 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 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 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 & The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.

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

The Recovery Stress in beams for non linear relation formula 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 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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