Recovery Bending Moment for Non Linear Relation Calculator

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Residual Stresses for Non-Linear Stress Strain Relations

Residual Stresses For Idealized Stress Strain Law

Residual Stresses for Non-Linear stress strain Law

Residual Stresses in Plastic Bending

✖The yield stress(non-linear) is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.ⓘ Yield stress(non-linear) [σ_y]			+10% -10%
✖Depth of rectangular beam is the height of the beam.ⓘ Depth of Rectangular Beam [d]			+10% -10%
✖Material Constant is the constant used when the beam yielded plastically.ⓘ Material Constant [n]			+10% -10%
✖Depth of outermost shell yields is the amount of yielding of outermost fiber of a beam when it is in Elasto-plastic state.ⓘ Depth of Outermost Shell Yields [η]			+10% -10%

✖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.ⓘ Recovery Bending Moment for Non Linear Relation [M_rec]

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Formula

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Recovery Bending Moment for Non Linear Relation

Formula

`"M"_{"rec"} = -"σ"_{"y"}*"d"*("d"^2/4-("n"*"η"^2)/("n"+2))`

Example

`"-49162500N*mm"=-"240MPa"*"95mm"*(("95mm")^2/4-("0.25"*("30mm")^2)/("0.25"+2))`

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Recovery Bending Moment for Non Linear Relation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
M_rec = -σ_y*d*(d^2/4-(n*η^2)/(n+2))
This formula uses 5 Variables

Variables Used

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.
Yield stress(non-linear) - (Measured in Pascal) - The yield stress(non-linear) is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.
Depth of Rectangular Beam - (Measured in Meter) - Depth of rectangular beam is the height of the beam.
Material Constant - Material Constant is the constant used when the beam yielded plastically.
Depth of Outermost Shell Yields - (Measured in Meter) - Depth of outermost shell yields is the amount of yielding of outermost fiber of a beam when it is in Elasto-plastic state.

STEP 1: Convert Input(s) to Base Unit

Yield stress(non-linear): 240 Megapascal --> 240000000 Pascal (Check conversion here)
Depth of Rectangular Beam: 95 Millimeter --> 0.095 Meter (Check conversion here)
Material Constant: 0.25 --> No Conversion Required
Depth of Outermost Shell Yields: 30 Millimeter --> 0.03 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_rec = -σ_y*d*(d^2/4-(n*η^2)/(n+2)) --> -240000000*0.095*(0.095^2/4-(0.25*0.03^2)/(0.25+2))

Evaluating ... ...

M_rec = -49162.5

STEP 3: Convert Result to Output's Unit

-49162.5 Newton Meter -->-49162500 Newton Millimeter (Check conversion here)

FINAL ANSWER

-49162500 Newton Millimeter <-- Non Linear Recovery Bending Moment

(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 Bending Moment for Non Linear Relation Formula

What is Recovery Bending Moment for non linear relation?

How to Calculate Recovery Bending Moment for Non Linear Relation?

Recovery Bending Moment for Non Linear Relation calculator uses 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)) to calculate the Non Linear Recovery Bending Moment, The Recovery Bending Moment 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 and the opposite moment is called Recovery bending moment. and under non linear conditions it is called Non linear recovery bending moment. Non Linear Recovery Bending Moment is denoted by M_rec symbol.

How to calculate Recovery Bending Moment for Non Linear Relation using this online calculator? To use this online calculator for Recovery Bending Moment for Non Linear Relation, enter Yield stress(non-linear) (σ_y), Depth of Rectangular Beam (d), Material Constant (n) & Depth of Outermost Shell Yields (η) and hit the calculate button. Here is how the Recovery Bending Moment for Non Linear Relation calculation can be explained with given input values -> -49162500000 = -240000000*0.095*(0.095^2/4-(0.25*0.03^2)/(0.25+2)).

FAQ

What is Recovery Bending Moment for Non Linear Relation?

The Recovery Bending Moment 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 and the opposite moment is called Recovery bending moment. and under non linear conditions it is called Non linear recovery bending moment and is represented as M_rec = -σ_y*d*(d^2/4-(n*η^2)/(n+2)) or 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)). The yield stress(non-linear) is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically, Depth of rectangular beam is the height of the beam, Material Constant is the constant used when the beam yielded plastically & Depth of outermost shell yields is the amount of yielding of outermost fiber of a beam when it is in Elasto-plastic state.

How to calculate Recovery Bending Moment for Non Linear Relation?

The Recovery Bending Moment 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 and the opposite moment is called Recovery bending moment. and under non linear conditions it is called Non linear recovery bending moment is calculated using 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)). To calculate Recovery Bending Moment for Non Linear Relation, you need Yield stress(non-linear) (σ_y), Depth of Rectangular Beam (d), Material Constant (n) & Depth of Outermost Shell Yields (η). With our tool, you need to enter the respective value for Yield stress(non-linear), Depth of Rectangular Beam, Material Constant & Depth of Outermost Shell Yields 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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