Fully Plastic Bending Moment Calculator

✖Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications.ⓘ Breadth of Rectangular Beam [b]			+10% -10%
✖Depth of Rectangular Beam is the vertical distance from the neutral axis to the bottom of the beam, used to calculate bending stresses and moments.ⓘ Depth of Rectangular Beam [d]			+10% -10%
✖Yield Stress is the stress at which a material begins to deform plastically, typically measured in bending beams under external loads.ⓘ Yield Stress [σ₀]			+10% -10%

✖Fully Plastic Bending Moment is the maximum bending moment that a beam can withstand without deforming plastically, indicating its maximum load-carrying capacity.ⓘ Fully Plastic Bending Moment [M_f]

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Fully Plastic Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fully Plastic Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4
M_f = (b*d^2*σ₀)/4
This formula uses 4 Variables

Variables Used

Fully Plastic Bending Moment - (Measured in Newton Meter) - Fully Plastic Bending Moment is the maximum bending moment that a beam can withstand without deforming plastically, indicating its maximum load-carrying capacity.
Breadth of Rectangular Beam - (Measured in Meter) - Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications.
Depth of Rectangular Beam - (Measured in Meter) - Depth of Rectangular Beam is the vertical distance from the neutral axis to the bottom of the beam, used to calculate bending stresses and moments.
Yield Stress - (Measured in Pascal) - Yield Stress is the stress at which a material begins to deform plastically, typically measured in bending beams under external loads.

STEP 1: Convert Input(s) to Base Unit

Breadth of Rectangular Beam: 80 Millimeter --> 0.08 Meter (Check conversion here)
Depth of Rectangular Beam: 20 Millimeter --> 0.02 Meter (Check conversion here)
Yield Stress: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_f = (b*d^2*σ₀)/4 --> (0.08*0.02^2*230000000)/4

Evaluating ... ...

M_f = 1840

STEP 3: Convert Result to Output's Unit

1840 Newton Meter -->1840000 Newton Millimeter (Check conversion here)

FINAL ANSWER

1840000 ≈ 1.8E+6 Newton Millimeter <-- Fully Plastic Bending Moment

(Calculation completed in 00.004 seconds)

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< Plastic Bending of Beams Calculators

Elasto Plastic Bending Moment of Rectangular Beam

LaTeX Go Elasto Plastic Bending Moment = (Yield Stress*Breadth of Rectangular Beam*(3*Depth of Rectangular Beam^2-4*Depth of Outermost Shell Yields^2))/12

Fully Plastic Bending Moment

LaTeX Go Fully Plastic Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4

Incipient Bending Moment of Rectangular Beam

LaTeX Go Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6

Fully Plastic Bending Moment Formula

LaTeX Go

Fully Plastic Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4
M_f = (b*d^2*σ₀)/4

What is Plastic Bending Moment?

The Plastic Bending Moment is the maximum bending moment a material or structural section can withstand after it has fully yielded and entered the plastic deformation phase. At this point, the material no longer behaves elastically and cannot return to its original shape when the load is removed. Instead, it has reached its full capacity, with stress distributed uniformly across the cross-section. The plastic bending moment is critical in structural engineering, as it defines the ultimate load-bearing capacity of a section before significant, irreversible deformation occurs, ensuring structures are designed with appropriate safety margins.

How to Calculate Fully Plastic Bending Moment?

Fully Plastic Bending Moment calculator uses Fully Plastic Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4 to calculate the Fully Plastic Bending Moment, Fully Plastic Bending Moment formula is defined as the maximum bending moment that a beam can withstand without deforming plastically, representing the ultimate load-carrying capacity of a beam in bending, which is critical in the design of beams and structures to ensure their safety and stability. Fully Plastic Bending Moment is denoted by M_f symbol.

How to calculate Fully Plastic Bending Moment using this online calculator? To use this online calculator for Fully Plastic Bending Moment, enter Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀) and hit the calculate button. Here is how the Fully Plastic Bending Moment calculation can be explained with given input values -> 1.8E+9 = (0.08*0.02^2*230000000)/4.

FAQ

What is Fully Plastic Bending Moment?

Fully Plastic Bending Moment formula is defined as the maximum bending moment that a beam can withstand without deforming plastically, representing the ultimate load-carrying capacity of a beam in bending, which is critical in the design of beams and structures to ensure their safety and stability and is represented as M_f = (b*d^2*σ₀)/4 or Fully Plastic Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4. Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications, Depth of Rectangular Beam is the vertical distance from the neutral axis to the bottom of the beam, used to calculate bending stresses and moments & Yield Stress is the stress at which a material begins to deform plastically, typically measured in bending beams under external loads.

How to calculate Fully Plastic Bending Moment?

Fully Plastic Bending Moment formula is defined as the maximum bending moment that a beam can withstand without deforming plastically, representing the ultimate load-carrying capacity of a beam in bending, which is critical in the design of beams and structures to ensure their safety and stability is calculated using Fully Plastic Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/4. To calculate Fully Plastic Bending Moment, you need Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀). With our tool, you need to enter the respective value for Breadth of Rectangular Beam, Depth of Rectangular Beam & Yield Stress 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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