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Plastic Moment Formula

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Plastic Moment is the moment at which the entire cross section has reached its yield stress. Check FAQs

M p = F yw \cdot Z p

M_p - Plastic Moment?F_yw - Specified Minimum Yield Stress?Z_p - Plastic Modulus?

Plastic Moment Example

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With units

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

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

Here is how the Plastic Moment equation looks like.

1000.8 = 139 \cdot 0.0072

1000.8N*mm = 139MPa \cdot 0.0072mm³

1000.8 = 139 \cdot 0.0072

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Plastic Moment Solution

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

FIRST Step Consider the formula

M p = F yw \cdot Z p

Next Step Substitute values of Variables

∴

M p = 139MPa \cdot 0.0072mm³

Next Step Prepare to Evaluate

∴

M p = 139 \cdot 0.0072

Next Step Evaluate

∴

M p = 1.0008N*m

LAST Step Convert to Output's Unit

∴

M p = 1000.8N*mm

Plastic Moment Formula Elements

Variables

Plastic Moment

Plastic Moment is the moment at which the entire cross section has reached its yield stress.

Symbol: M_p

Measurement: Moment of ForceUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Plastic Moment

Specified Minimum Yield Stress

Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web.

Symbol: F_yw

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified Minimum Yield Stress

Plastic Modulus

Plastic Modulus is the geometric property of a plastic section which is defined as the ratio of the second moment of area to distance from neutral axis to extreme fiber.

Symbol: Z_p

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Plastic Modulus

Other formulas in Beams category

Go Maximum Laterally Unbraced Length for Plastic Analysis

L pd = r y \cdot \frac{3600 + 2200 \cdot (\frac{M 1}{M p})}{F yc}

Go Maximum Laterally Unbraced Length for Plastic Analysis in Solid Bars and Box Beams

L pd = \frac{r y \cdot (5000 + 3000 \cdot (\frac{M 1}{M p}))}{F y}

Go Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for I and Channel Sections

L p = \frac{300 \cdot r y}{\sqrt{F yf}}

Go Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for Solid Bar and Box Beams

L p = \frac{3750 \cdot (\frac{r y}{M p})}{\sqrt{J \cdot A}}

How to Evaluate Plastic Moment?

Plastic Moment evaluator uses Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus to evaluate the Plastic Moment, The Plastic Moment formula is defined as the moment at which the entire cross-section has reached its yield stress i.e. theoretically the maximum bending moment that the section can resist and when this point is reached a plastic hinge is formed. Plastic Moment is denoted by M_p symbol.

How to evaluate Plastic Moment using this online evaluator? To use this online evaluator for Plastic Moment, enter Specified Minimum Yield Stress (F_yw) & Plastic Modulus (Z_p) and hit the calculate button.

FAQs on Plastic Moment

What is the formula to find Plastic Moment?

The formula of Plastic Moment is expressed as Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus. Here is an example- 7E+9 = 139000000*7.2E-12.

How to calculate Plastic Moment?

With Specified Minimum Yield Stress (F_yw) & Plastic Modulus (Z_p) we can find Plastic Moment using the formula - Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus.

Can the Plastic Moment be negative?

No, the Plastic Moment, measured in Moment of Force cannot be negative.

Which unit is used to measure Plastic Moment?

Plastic 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 Plastic Moment can be measured.

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Plastic Moment Formula

Plastic Moment Example

Plastic Moment Solution

Plastic Moment Formula Elements

Other formulas in Beams category

How to Evaluate Plastic Moment?

FAQs on Plastic Moment

Variable Name