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Plastic Moment for Rectangular Section Formula

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Plastic Moment for a Rectangular Section is defined as the moment at which the entire cross section has reached it yield stress. Check FAQs

Mp r = (\frac{b \cdot {D b}^{2}}{4}) \cdot fy

Mp_r - Plastic Moment for a Rectangular Section?b - Width of Rectangular Beam?D_b - Depth of Rectangle Beam?fy - Yield Stress of a Section?

Plastic Moment for Rectangular Section Example

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Here is how the Plastic Moment for Rectangular Section equation looks like with Values.

Here is how the Plastic Moment for Rectangular Section equation looks like with Units.

Here is how the Plastic Moment for Rectangular Section equation looks like.

16000 = (\frac{20 \cdot 40^{2}}{4}) \cdot 2

16000N*m = (\frac{20mm \cdot {40mm}^{2}}{4}) \cdot 2N/m²

16000 = (\frac{20 \cdot 40^{2}}{4}) \cdot 2

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Plastic Moment for Rectangular Section Solution

Follow our step by step solution on how to calculate Plastic Moment for Rectangular Section?

FIRST Step Consider the formula

Mp r = (\frac{b \cdot {D b}^{2}}{4}) \cdot fy

Next Step Substitute values of Variables

∴

Mp r = (\frac{20mm \cdot {40mm}^{2}}{4}) \cdot 2N/m²

Next Step Convert Units

∴

Mp r = (\frac{20mm \cdot {40mm}^{2}}{4}) \cdot 2Pa

Next Step Prepare to Evaluate

∴

Mp r = (\frac{20 \cdot 40^{2}}{4}) \cdot 2

LAST Step Evaluate

∴

Mp r = 16000N*m

Plastic Moment for Rectangular Section Formula Elements

Variables

Plastic Moment for a Rectangular Section

Plastic Moment for a Rectangular Section is defined as the moment at which the entire cross section has reached it yield stress.

Symbol: Mp_r

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Plastic Moment for a Rectangular Section

Width of Rectangular Beam

Width of Rectangular Beam is the cross-section of the beam parallel to the axis in consideration..

Symbol: b

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Width of Rectangular Beam

Depth of Rectangle Beam

Depth of Rectangle Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

Symbol: D_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangle Beam

Yield Stress of a Section

Yield Stress of a Section is how much force needs to be applied to a beam to cause it to change from elastic deformation to plastic deformation.

Symbol: fy

Measurement: StressUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Yield Stress of a Section

Other formulas in Plastic Analysis category

Go Plastic Moment for Circular section

Mp c = (\frac{D^{3}}{6}) \cdot fy

Go Plastic Moment for SSB with Point load at center

Mp sc = \frac{W u \cdot l}{4}

Go Plastic Moment for SSB with load at distance

Mp sx = \frac{W u \cdot a 1 \cdot a 2}{l}

Go Plastic Moment for Fixed Beam with Load at its Center

Mp f = \frac{W u \cdot l}{8}

How to Evaluate Plastic Moment for Rectangular Section?

Plastic Moment for Rectangular Section evaluator uses Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section to evaluate the Plastic Moment for a Rectangular Section, The Plastic Moment for Rectangular Section can be determined by multiplying each section half by the distance from its centroid to the centroid for the whole section. Plastic Moment for a Rectangular Section is denoted by Mp_r symbol.

How to evaluate Plastic Moment for Rectangular Section using this online evaluator? To use this online evaluator for Plastic Moment for Rectangular Section, enter Width of Rectangular Beam (b), Depth of Rectangle Beam (D_b) & Yield Stress of a Section (fy) and hit the calculate button.

FAQs on Plastic Moment for Rectangular Section

What is the formula to find Plastic Moment for Rectangular Section?

The formula of Plastic Moment for Rectangular Section is expressed as Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section. Here is an example- 16000 = ((0.02*0.04^2)/4)*2.

How to calculate Plastic Moment for Rectangular Section?

With Width of Rectangular Beam (b), Depth of Rectangle Beam (D_b) & Yield Stress of a Section (fy) we can find Plastic Moment for Rectangular Section using the formula - Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section.

Can the Plastic Moment for Rectangular Section be negative?

Yes, the Plastic Moment for Rectangular Section, measured in Moment of Force can be negative.

Which unit is used to measure Plastic Moment for Rectangular Section?

Plastic Moment for Rectangular Section is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Plastic Moment for Rectangular Section can be measured.

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Plastic Moment for Rectangular Section Formula

Plastic Moment for Rectangular Section Example

Plastic Moment for Rectangular Section Solution

Plastic Moment for Rectangular Section Formula Elements

Other formulas in Plastic Analysis category

How to Evaluate Plastic Moment for Rectangular Section?

FAQs on Plastic Moment for Rectangular Section

Variable Name