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
Mpc = (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
Mpc = (D^3/6)*fy --> (20^3/6)*2
Evaluating ... ...
Mpc = 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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Parisutham Institute of Technology and Science (PITS), THANJAVUR
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8 Plastic Analysis Calculators

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Go Plastic Moment for Propped Cantilever = Theoretical Load*Distance1*Distance2/(Overall Length of Beam+Distance2)
Plastic Moment for SSB with load at distance
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Plastic Moment for Rectangular Section
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
Go Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section
Plastic Moment for Fixed Beam with Load at its Center
Go Plastic Moment for Fixed Beam with Load at Center = (Theoretical Load*Overall Length of Beam)/8
Plastic Moment for SSB with Point load at center
Go Plastic Moment for SSB with Load at Center = (Theoretical Load*Overall Length of Beam)/4
Plastic Moment for Fixed Beam with UDL
Go Plastic Moment for Fixed Beam with UDL = (Theoretical Load*Overall Length of Beam)/16
Plastic Moment for SSB with UDL
Go Plastic Moment for SSB with UDL = (Theoretical Load*Overall Length of Beam)/8

Plastic Moment for Circular section Formula

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