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Plastic Moment for Circular section Formula

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

Mp c = (\frac{D^{3}}{6}) \cdot fy

Mp_c - Plastic Moment Capacity of Circular Section?D - Diameter of Circle?fy - Yield Stress of a Section?

Plastic Moment for Circular section Example

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

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

Here is how the Plastic Moment for Circular section equation looks like.

2666.6667 = (\frac{20^{3}}{6}) \cdot 2

2666.6667 = (\frac{{20mm}^{3}}{6}) \cdot 2N/m²

2666.6667 = (\frac{20^{3}}{6}) \cdot 2

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Plastic Moment for Circular section Solution

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

FIRST Step Consider the formula

Mp c = (\frac{D^{3}}{6}) \cdot fy

Next Step Substitute values of Variables

∴

Mp c = (\frac{{20mm}^{3}}{6}) \cdot 2N/m²

Next Step Convert Units

∴

Mp c = (\frac{{20mm}^{3}}{6}) \cdot 2Pa

Next Step Prepare to Evaluate

∴

Mp c = (\frac{20^{3}}{6}) \cdot 2

Next Step Evaluate

∴

Mp c = 2666.66666666667

LAST Step Rounding Answer

∴

Mp c = 2666.6667

Plastic Moment for Circular section Formula Elements

Variables

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.

Symbol: Mp_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Plastic Moment Capacity of Circular Section

Diameter of Circle

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.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circle

Yield Stress of a Section

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.

Symbol: fy

Measurement: StressUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Yield Stress of a Section

Other formulas in Plastic Analysis category

Go Plastic Moment for Rectangular Section

Mp r = (\frac{b \cdot {D b}^{2}}{4}) \cdot fy

Go Plastic Moment for SSB with Point load at center

Mp sc = \frac{W u \cdot l}{4}

Go Plastic Moment for SSB with load at distance

Mp sx = \frac{W u \cdot a 1 \cdot a 2}{l}

Go Plastic Moment for Fixed Beam with Load at its Center

Mp f = \frac{W u \cdot l}{8}

How to Evaluate Plastic Moment for Circular section?

Plastic Moment for Circular section evaluator uses Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section to evaluate 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 evaluate Plastic Moment for Circular section using this online evaluator? To use this online evaluator for Plastic Moment for Circular section, enter Diameter of Circle (D) & Yield Stress of a Section (fy) and hit the calculate button.

FAQs on Plastic Moment for Circular section

What is the formula to find Plastic Moment for Circular section?

The formula of Plastic Moment for Circular section is expressed as Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section. Here is an example- 2666.667 = (0.02^3/6)*2.

How to calculate Plastic Moment for Circular section?

With Diameter of Circle (D) & Yield Stress of a Section (fy) we can find Plastic Moment for Circular section using the formula - Plastic Moment Capacity of Circular Section = (Diameter of Circle^3/6)*Yield Stress of a Section.

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