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
Mi = (b*d^2*σ0)/6
This formula uses 4 Variables
Variables Used
Incipient Bending Moment - (Measured in Newton Meter) - Incipient Bending Moment occurs when the loading on the beam is such that yielding just commences at the outermost-fibers at the highly stressed region.
Breadth of rectangular beam - (Measured in Meter) - Breadth of rectangular beam is the width of the beam.
Depth of rectangular beam - (Measured in Meter) - Depth of rectangular beam is the height of the beam.
Yield Stress - (Measured in Pascal) - The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.
STEP 1: Convert Input(s) to Base Unit
Breadth of rectangular beam: 80 Millimeter --> 0.08 Meter (Check conversion here)
Depth of rectangular beam: 100 Millimeter --> 0.1 Meter (Check conversion here)
Yield Stress: 240 Megapascal --> 240000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mi = (b*d^2*σ0)/6 --> (0.08*0.1^2*240000000)/6
Evaluating ... ...
Mi = 32000
STEP 3: Convert Result to Output's Unit
32000 Newton Meter -->32000000 Newton Millimeter (Check conversion here)
FINAL ANSWER
32000000 3.2E+7 Newton Millimeter <-- Incipient Bending Moment
(Calculation completed in 00.020 seconds)

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3 Plastic Bending of Beams Calculators

Elasto Plastic Bending Moment of Rectangular Beam
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
Go Fully Plastic Bending Moment = (Breadth of rectangular beam*Depth of rectangular beam^2*Yield Stress)/4
Incipient Bending Moment of Rectangular Beam
Go Incipient Bending Moment = (Breadth of rectangular beam*Depth of rectangular beam^2*Yield Stress)/6

Incipient Bending Moment of Rectangular Beam Formula

Incipient Bending Moment = (Breadth of rectangular beam*Depth of rectangular beam^2*Yield Stress)/6
Mi = (b*d^2*σ0)/6

What is Incipience bending moment?

If the loading on the beam is such that yielding just commences at the outermost-fibers at the highly stressed region. the bending moment is called as incipience bending moment.

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 occurs when the loading on the beam is such that yielding just commences at the outermost-fibers at the highly stressed region. Incipient Bending Moment is denoted by Mi 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 0) and hit the calculate button. Here is how the Incipient Bending Moment of Rectangular Beam calculation can be explained with given input values -> 1.7E+10 = (0.08*0.1^2*240000000)/6.

FAQ

What is Incipient Bending Moment of Rectangular Beam?
Incipient Bending Moment of Rectangular Beam occurs when the loading on the beam is such that yielding just commences at the outermost-fibers at the highly stressed region and is represented as Mi = (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 width of the beam, Depth of rectangular beam is the height of the beam & The Yield Stress is a material property and is the stress corresponding to the yield point at which the material begins to deform plastically.
How to calculate Incipient Bending Moment of Rectangular Beam?
Incipient Bending Moment of Rectangular Beam occurs when the loading on the beam is such that yielding just commences at the outermost-fibers at the highly stressed region 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 0). 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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