Plastic Moment for Rectangular Section Calculator

✖Width of Rectangular Beam is the cross-section of the beam parallel to the axis in consideration..ⓘ Width of Rectangular Beam [b]			+10% -10%
✖Depth of Rectangle Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.ⓘ Depth of Rectangle Beam [D_b]			+10% -10%
✖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.ⓘ Yield Stress of a Section [fy]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Steel Structures Formula PDF PDF Image

Plastic Moment for Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section
Mp_r = ((b*D_b^2)/4)*fy
This formula uses 4 Variables

Variables Used

Plastic Moment for a Rectangular Section - (Measured in Newton Meter) - Plastic Moment for a Rectangular Section is defined as the moment at which the entire cross section has reached it yield stress.
Width of Rectangular Beam - (Measured in Millimeter) - Width of Rectangular Beam is the cross-section of the beam parallel to the axis in consideration..
Depth of Rectangle Beam - (Measured in Millimeter) - Depth of Rectangle Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.
Yield Stress of a Section - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Width of Rectangular Beam: 20 Millimeter --> 20 Millimeter No Conversion Required
Depth of Rectangle Beam: 40 Millimeter --> 40 Millimeter No Conversion Required
Yield Stress of a Section: 2 Newton per Square Meter --> 2 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mp_r = ((b*D_b^2)/4)*fy --> ((20*40^2)/4)*2

Evaluating ... ...

Mp_r = 16000

STEP 3: Convert Result to Output's Unit

16000 Newton Meter --> No Conversion Required

FINAL ANSWER

16000 Newton Meter <-- Plastic Moment for a Rectangular Section

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Design of Steel Structures » Plastic Analysis » Plastic Moment for Rectangular Section

Credits

Created by Bhuvana Shankar

Parisutham Institute of Technology and Science (PITS), THANJAVUR

Bhuvana Shankar has created this Calculator and 10+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has verified this Calculator and 100+ more calculators!

< Plastic Analysis Calculators

Plastic Moment for SSB with load at distance

LaTeX Go Plastic Moment for SSB with Load at a Distance = (Theoretical Load*Distance1*Distance2)/Overall Length of Beam

Plastic Moment for Rectangular Section

LaTeX Go Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section

Plastic Moment for Circular section

LaTeX Go Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section

Plastic Moment for SSB with Point load at center

LaTeX Go Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4

Plastic Moment for Rectangular Section Formula

LaTeX Go

Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section
Mp_r = ((b*D_b^2)/4)*fy

Information on Shape Factor

Shape Factor is the ratio of Plastic Section Modulus to the Elastic section Modulus.Shape Factor of rectangular section is 1.5.More the value of shape factor more it can withstand stress after yielding.

How to Calculate Plastic Moment for Rectangular Section?

Plastic Moment for Rectangular Section calculator uses Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section to calculate 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 calculate Plastic Moment for Rectangular Section using this online calculator? To use this online calculator 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. Here is how the Plastic Moment for Rectangular Section calculation can be explained with given input values -> 16000 = ((0.02*0.04^2)/4)*2.

FAQ

What is Plastic Moment for 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 and is represented as Mp_r = ((b*D_b^2)/4)*fy or Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section. Width of Rectangular Beam is the cross-section of the beam parallel to the axis in consideration, Depth of Rectangle Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam & 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.

How to calculate Plastic Moment for 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 is calculated using Plastic Moment for a Rectangular Section = ((Width of Rectangular Beam*Depth of Rectangle Beam^2)/4)*Yield Stress of a Section. To calculate Plastic Moment for Rectangular Section, you need Width of Rectangular Beam (b), Depth of Rectangle Beam (D_b) & Yield Stress of a Section (fy). With our tool, you need to enter the respective value for Width of Rectangular Beam, Depth of Rectangle Beam & Yield Stress of a Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search