Plastic Moment Calculator

✖Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web.ⓘ Specified Minimum Yield Stress [F_yw]			+10% -10%
✖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.ⓘ Plastic Modulus [Z_p]			+10% -10%

✖Plastic Moment is the moment at which the entire cross section has reached its yield stress.ⓘ Plastic Moment [M_p]

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Plastic Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus
M_p = F_yw*Z_p
This formula uses 3 Variables

Variables Used

Plastic Moment - (Measured in Newton Meter) - Plastic Moment is the moment at which the entire cross section has reached its yield stress.
Specified Minimum Yield Stress - (Measured in Megapascal) - Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web.
Plastic Modulus - (Measured in Cubic Millimeter) - 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.

STEP 1: Convert Input(s) to Base Unit

Specified Minimum Yield Stress: 139 Megapascal --> 139 Megapascal No Conversion Required
Plastic Modulus: 0.0072 Cubic Millimeter --> 0.0072 Cubic Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_p = F_yw*Z_p --> 139*0.0072

Evaluating ... ...

M_p = 1.0008

STEP 3: Convert Result to Output's Unit

1.0008 Newton Meter -->1000.8 Newton Millimeter (Check conversion here)

FINAL ANSWER

1000.8 Newton Millimeter <-- Plastic Moment

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Beams Calculators

Maximum Laterally Unbraced Length for Plastic Analysis

LaTeX Go Laterally Unbraced Length for Plastic Analysis = Radius of Gyration about Minor Axis*(3600+2200*(Smaller Moments of Unbraced Beam/Plastic Moment))/(Minimum Yield Stress of Compression Flange)

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

LaTeX Go Laterally Unbraced Length for Plastic Analysis = (Radius of Gyration about Minor Axis*(5000+3000*(Smaller Moments of Unbraced Beam/Plastic Moment)))/Yield Stress of Steel

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

LaTeX Go Limiting Laterally Unbraced Length = (300*Radius of Gyration about Minor Axis)/sqrt(Flange Yield Stress)

Plastic Moment

LaTeX Go Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus

Plastic Moment Formula

LaTeX Go

Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus
M_p = F_yw*Z_p

What are the principles of Plastic Analysis?

1.Mechanism condition: When the ultimate load is reached collapse mechanism usually formed.
2 Equilibrium condition: Sum of forces =0, Sum of moments=0
3 Plastic moment condition: The bending moment at any section in the structure should not be more than the full plastic moment (moment at which plastic hinges form and structure moves to failure) of the section.

How to Calculate Plastic Moment?

Plastic Moment calculator uses Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus to calculate 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 calculate Plastic Moment using this online calculator? To use this online calculator for Plastic Moment, enter Specified Minimum Yield Stress (F_yw) & Plastic Modulus (Z_p) and hit the calculate button. Here is how the Plastic Moment calculation can be explained with given input values -> 7E+9 = 139000000*7.2E-12.

FAQ

What is 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 and is represented as M_p = F_yw*Z_p or Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus. Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web & 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.

How to calculate 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 is calculated using Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus. To calculate Plastic Moment, you need Specified Minimum Yield Stress (F_yw) & Plastic Modulus (Z_p). With our tool, you need to enter the respective value for Specified Minimum Yield Stress & Plastic Modulus 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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