FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Fully Plastic Recovery Bending Moment Formula

Fx Copy

LaTeX Copy

Fully Plastic Recovery Bending Moment is the maximum bending moment that a material can withstand without undergoing plastic deformation under residual stresses. Check FAQs

M rec_plastic = - \frac{b \cdot d^{2} \cdot σ 0}{4}

M_{rec_plastic} - Fully Plastic Recovery Bending Moment?b - Breadth of Rectangular Beam?d - Depth of Rectangular Beam?σ₀ - Yield Stress?

Fully Plastic Recovery Bending Moment Example

With values

With units

Only example

Here is how the Fully Plastic Recovery Bending Moment equation looks like with Values.

Here is how the Fully Plastic Recovery Bending Moment equation looks like with Units.

Here is how the Fully Plastic Recovery Bending Moment equation looks like.

-42304687.5 = - \frac{75 \cdot 95^{2} \cdot 250}{4}

-42304687.5N*mm = - \frac{75mm \cdot {95mm}^{2} \cdot 250MPa}{4}

-42304687.5 = - \frac{75 \cdot 95^{2} \cdot 250}{4}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Plasticity » fx Fully Plastic Recovery Bending Moment

Fully Plastic Recovery Bending Moment Solution

Follow our step by step solution on how to calculate Fully Plastic Recovery Bending Moment?

FIRST Step Consider the formula

M rec_plastic = - \frac{b \cdot d^{2} \cdot σ 0}{4}

Next Step Substitute values of Variables

∴

M rec_plastic = - \frac{75mm \cdot {95mm}^{2} \cdot 250MPa}{4}

Next Step Convert Units

∴

M rec_plastic = - \frac{0.075m \cdot {0.095m}^{2} \cdot 2.5E+8Pa}{4}

Next Step Prepare to Evaluate

∴

M rec_plastic = - \frac{0.075 \cdot {0.095}^{2} \cdot 2.5E+8}{4}

Next Step Evaluate

∴

M rec_plastic = -42304.6875N*m

LAST Step Convert to Output's Unit

∴

M rec_plastic = -42304687.5N*mm

Fully Plastic Recovery Bending Moment Formula Elements

Variables

Fully Plastic Recovery Bending Moment

Fully Plastic Recovery Bending Moment is the maximum bending moment that a material can withstand without undergoing plastic deformation under residual stresses.

Symbol: M_{rec_plastic}

Measurement: Moment of ForceUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Fully Plastic Recovery Bending Moment

Breadth of Rectangular Beam

Breadth of Rectangular Beam is the width of a rectangular beam, a crucial parameter in calculating residual stresses in a beam after manufacturing or fabrication.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Beam

Depth of Rectangular Beam

Depth of Rectangular Beam is the vertical distance from the neutral axis to the extreme fibre of a rectangular beam under residual stresses.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangular Beam

Yield Stress

The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.

Symbol: σ₀

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Stress

Other formulas in Residual Stresses in Plastic Bending category

Go Recovery Bending Moment

M Rec = - (\frac{σ 0 \cdot b \cdot (3 \cdot d^{2} - 4 \cdot η^{2})}{12})

Go Recovery Stress in Beams

σ Rec = \frac{M Rec \cdot y}{\frac{b \cdot d^{3}}{12}}

Go Residual Stress in Beams when Y Lies between 0 and n

σ Res = \frac{M Rec \cdot y d}{\frac{d \cdot d^{3}}{12}}

Go Residual Stress in Beams when Bending Stress is Equal to Yield Stress

σ beam = - (σ 0 + \frac{M Rec \cdot y}{\frac{b \cdot d^{3}}{12}})

How to Evaluate Fully Plastic Recovery Bending Moment?

Fully Plastic Recovery Bending Moment evaluator uses Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4 to evaluate the Fully Plastic Recovery Bending Moment, Fully Plastic Recovery Bending Moment formula is defined as a measure of the maximum bending moment that a material can withstand without undergoing plastic deformation, providing a critical value for structural integrity and residual stress analysis in various engineering applications. Fully Plastic Recovery Bending Moment is denoted by M_{rec_plastic} symbol.

How to evaluate Fully Plastic Recovery Bending Moment using this online evaluator? To use this online evaluator for Fully Plastic Recovery Bending Moment, enter Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀) and hit the calculate button.

FAQs on Fully Plastic Recovery Bending Moment

What is the formula to find Fully Plastic Recovery Bending Moment?

The formula of Fully Plastic Recovery Bending Moment is expressed as Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4. Here is an example- -42304687500 = -(0.075*0.095^2*250000000)/4.

How to calculate Fully Plastic Recovery Bending Moment?

With Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀) we can find Fully Plastic Recovery Bending Moment using the formula - Fully Plastic Recovery Bending Moment = -(Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4.

Can the Fully Plastic Recovery Bending Moment be negative?

Yes, the Fully Plastic Recovery Bending Moment, measured in Moment of Force can be negative.

Which unit is used to measure Fully Plastic Recovery Bending Moment?

Fully Plastic Recovery Bending Moment is usually measured using the Newton Millimeter[N*mm] for Moment of Force. Newton Meter[N*mm], Kilonewton Meter[N*mm], Millinewton Meter[N*mm] are the few other units in which Fully Plastic Recovery Bending Moment can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Fully Plastic Recovery Bending Moment Formula

Fully Plastic Recovery Bending Moment Example

Fully Plastic Recovery Bending Moment Solution

Fully Plastic Recovery Bending Moment Formula Elements

Other formulas in Residual Stresses in Plastic Bending category

How to Evaluate Fully Plastic Recovery Bending Moment?

FAQs on Fully Plastic Recovery Bending Moment

Variable Name