Incipient Bending Moment of Rectangular Beam 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%

✖Incipient Bending Moment is the initial turning force that causes a beam to bend or deform when subjected to external loads or forces.ⓘ Incipient Bending Moment of Rectangular Beam [M_i]

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Incipient Bending Moment of Rectangular Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6
M_i = (b*d^2*σ₀)/6
This formula uses 4 Variables

Variables Used

Incipient Bending Moment - (Measured in Newton Meter) - Incipient Bending Moment is the initial turning force that causes a beam to bend or deform when subjected to external loads or forces.
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_i = (b*d^2*σ₀)/6 --> (0.08*0.02^2*230000000)/6

Evaluating ... ...

M_i = 1226.66666666667

STEP 3: Convert Result to Output's Unit

1226.66666666667 Newton Meter -->1226666.66666667 Newton Millimeter (Check conversion here)

FINAL ANSWER

1226666.66666667 ≈ 1.2E+6 Newton Millimeter <-- Incipient Bending Moment

(Calculation completed in 00.007 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

Incipient Bending Moment of Rectangular Beam Formula

LaTeX Go

Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6
M_i = (b*d^2*σ₀)/6

What is Incipience ending Moment?

The Incipience Bending Moment is the initial bending moment at which yielding, or the onset of plastic deformation, begins in a material or structural section. At this point, the material starts to transition from purely elastic behavior, where it can return to its original shape, to plastic behavior, where some permanent deformation starts to occur. This moment marks the threshold of the elastic limit and is important in engineering to ensure that designs operate within safe limits, avoiding early or unwanted plastic deformation under expected loads.

How to Calculate Incipient Bending Moment of Rectangular Beam?

Incipient Bending Moment of Rectangular Beam calculator uses Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6 to calculate the Incipient Bending Moment, Incipient Bending Moment of Rectangular Beam formula is defined as a measure of the initial bending stress that occurs in a rectangular beam when it is subjected to external loads, providing a critical value for structural engineers to design and analyze beams effectively. Incipient Bending Moment is denoted by M_i symbol.

How to calculate Incipient Bending Moment of Rectangular Beam using this online calculator? To use this online calculator for Incipient Bending Moment of Rectangular Beam, enter Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀) and hit the calculate button. Here is how the Incipient Bending Moment of Rectangular Beam calculation can be explained with given input values -> 1.2E+9 = (0.08*0.02^2*230000000)/6.

FAQ

What is Incipient Bending Moment of Rectangular Beam?

Incipient Bending Moment of Rectangular Beam formula is defined as a measure of the initial bending stress that occurs in a rectangular beam when it is subjected to external loads, providing a critical value for structural engineers to design and analyze beams effectively and is represented as M_i = (b*d^2*σ₀)/6 or Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6. 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 Incipient Bending Moment of Rectangular Beam?

Incipient Bending Moment of Rectangular Beam formula is defined as a measure of the initial bending stress that occurs in a rectangular beam when it is subjected to external loads, providing a critical value for structural engineers to design and analyze beams effectively is calculated using Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6. To calculate Incipient Bending Moment of Rectangular Beam, 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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