Elasto Plastic Bending Moment for Non-Linear Relation Calculator

✖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 vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses.ⓘ Depth of Rectangular Beam [d]			+10% -10%
✖Material Constant is a measure of the internal stresses that remain within a material after the original cause of the stress has been removed.ⓘ Material Constant [n]			+10% -10%
✖Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.ⓘ Depth of Outermost Shell Yields [η]			+10% -10%

✖Non Linear Elasto Plastic Bending Moment is the internal stress remaining in a material after the original cause of the stress has been removed.ⓘ Elasto Plastic Bending Moment for Non-Linear Relation [M_EP]

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Elasto Plastic Bending Moment for Non-Linear Relation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Non Linear Elasto Plastic Bending Moment - (Measured in Newton Meter) - Non Linear Elasto Plastic Bending Moment is the internal stress remaining in a material after the original cause of the stress has been removed.
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 vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses.
Material Constant - Material Constant is a measure of the internal stresses that remain within a material after the original cause of the stress has been removed.
Depth of Outermost Shell Yields - (Measured in Meter) - Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.

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_EP = 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_EP = 49162.5

STEP 3: Convert Result to Output's Unit

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

FINAL ANSWER

49162500 ≈ 4.9E+7 Newton Millimeter <-- Non Linear Elasto Plastic Bending Moment

(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)

Elasto Plastic Bending Moment for Non-Linear Relation Formula

LaTeX Go

What are the Importance of Plastic Analysis of Beams or any other Structures?

Plastic analysis is the method through which the actual failure load of a structure is calculated, and as will be seen, this failure load can be significantly greater than the elastic load capacity.

How to Calculate Elasto Plastic Bending Moment for Non-Linear Relation?

Elasto Plastic Bending Moment for Non-Linear Relation calculator uses 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)) to calculate the Non Linear Elasto Plastic Bending Moment, Elasto Plastic Bending Moment for Non-Linear Relation formula is defined as a measure of the bending moment in a material that exhibits non-linear elastic-plastic behavior, taking into account the yield stress, diameter, and residual stresses, providing a more accurate prediction of the material's response to external loads. Non Linear Elasto Plastic Bending Moment is denoted by M_EP symbol.

How to calculate Elasto Plastic Bending Moment for Non-Linear Relation using this online calculator? To use this online calculator for Elasto Plastic 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 Elasto Plastic Bending Moment for Non-Linear Relation calculation can be explained with given input values -> 4.9E+10 = 240000000*0.095*(0.095^2/4-(0.25*0.03^2)/(0.25+2)).

FAQ

What is Elasto Plastic Bending Moment for Non-Linear Relation?

Elasto Plastic Bending Moment for Non-Linear Relation formula is defined as a measure of the bending moment in a material that exhibits non-linear elastic-plastic behavior, taking into account the yield stress, diameter, and residual stresses, providing a more accurate prediction of the material's response to external loads and is represented as M_EP = σ_y*d*(d^2/4-(n*η^2)/(n+2)) or 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)). 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 vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses, Material Constant is a measure of the internal stresses that remain within a material after the original cause of the stress has been removed & Depth of Outermost Shell Yields is the distance from the surface of a material to the outermost shell where residual stresses are present.

How to calculate Elasto Plastic Bending Moment for Non-Linear Relation?

Elasto Plastic Bending Moment for Non-Linear Relation formula is defined as a measure of the bending moment in a material that exhibits non-linear elastic-plastic behavior, taking into account the yield stress, diameter, and residual stresses, providing a more accurate prediction of the material's response to external loads is calculated using 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)). To calculate Elasto Plastic 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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