Plastic Moment for Circular section Calculator

✖Diameter of Circle is twice the radius, as the largest Distance between two points on a circle has to be a line segment through the center of a circle.ⓘ Diameter of Circle [D]			+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 Capacity of Circular Section is the moment at which the entire Circular cross section has reached its yield stress.ⓘ Plastic Moment for Circular section [Mp_c]

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Plastic Moment for Circular section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section
Mp_c = (D^3/6)*fy
This formula uses 3 Variables

Variables Used

Plastic Moment Capacity of Circular Section - Plastic Moment Capacity of Circular Section is the moment at which the entire Circular cross section has reached its yield stress.
Diameter of Circle - (Measured in Millimeter) - Diameter of Circle is twice the radius, as the largest Distance between two points on a circle has to be a line segment through the center of a circle.
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

Diameter of Circle: 20 Millimeter --> 20 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_c = (D^3/6)*fy --> (20^3/6)*2

Evaluating ... ...

Mp_c = 2666.66666666667

STEP 3: Convert Result to Output's Unit

2666.66666666667 --> No Conversion Required

FINAL ANSWER

2666.66666666667 ≈ 2666.667 <-- Plastic Moment Capacity of Circular Section

(Calculation completed in 00.004 seconds)

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Created by Bhuvana Shankar

Parisutham Institute of Technology and Science (PITS), THANJAVUR

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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 Circular section Formula

LaTeX Go

Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section
Mp_c = (D^3/6)*fy

Plastic Moment Capacity

The plastic moment is always greater than the yielding moment. Beams therefore have an ability to carry loads beyond the initial yielding of the beam.For all circular cross sections, Mp/My = 1.

How to Calculate Plastic Moment for Circular section?

Plastic Moment for Circular section calculator uses Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section to calculate the Plastic Moment Capacity of Circular Section, Plastic Moment for Circular section is given based on its Diameter and Yield stress in that section to determine the maximum bending moment that the circular section can resist, when this point is reached a plastic hinge is formed and any load beyond this point will result in theoretically infinite plastic deformation. Plastic Moment Capacity of Circular Section is denoted by Mp_c symbol.

How to calculate Plastic Moment for Circular section using this online calculator? To use this online calculator for Plastic Moment for Circular section, enter Diameter of Circle (D) & Yield Stress of a Section (fy) and hit the calculate button. Here is how the Plastic Moment for Circular section calculation can be explained with given input values -> 2666.667 = (0.02^3/6)*2.

FAQ

What is Plastic Moment for Circular section?

Plastic Moment for Circular section is given based on its Diameter and Yield stress in that section to determine the maximum bending moment that the circular section can resist, when this point is reached a plastic hinge is formed and any load beyond this point will result in theoretically infinite plastic deformation and is represented as Mp_c = (D^3/6)*fy or Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section. Diameter of Circle is twice the radius, as the largest Distance between two points on a circle has to be a line segment through the center of a circle & 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 Circular section?

Plastic Moment for Circular section is given based on its Diameter and Yield stress in that section to determine the maximum bending moment that the circular section can resist, when this point is reached a plastic hinge is formed and any load beyond this point will result in theoretically infinite plastic deformation is calculated using Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section. To calculate Plastic Moment for Circular section, you need Diameter of Circle (D) & Yield Stress of a Section (fy). With our tool, you need to enter the respective value for Diameter of Circle & 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.

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