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Incipient Bending Moment of Rectangular Beam Formula

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Incipient Bending Moment is the initial turning force that causes a beam to bend or deform when subjected to external loads or forces. Check FAQs

M i = \frac{b \cdot d^{2} \cdot σ 0}{6}

M_i - Incipient Bending Moment?b - Breadth of Rectangular Beam?d - Depth of Rectangular Beam?σ₀ - Yield Stress?

Incipient Bending Moment of Rectangular Beam Example

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Here is how the Incipient Bending Moment of Rectangular Beam equation looks like with Values.

Here is how the Incipient Bending Moment of Rectangular Beam equation looks like with Units.

Here is how the Incipient Bending Moment of Rectangular Beam equation looks like.

1.2E+6 = \frac{80 \cdot 20^{2} \cdot 230}{6}

1.2E+6N*mm = \frac{80mm \cdot {20mm}^{2} \cdot 230N/mm²}{6}

1.2E+6 = \frac{80 \cdot 20^{2} \cdot 230}{6}

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Incipient Bending Moment of Rectangular Beam Solution

Follow our step by step solution on how to calculate Incipient Bending Moment of Rectangular Beam?

FIRST Step Consider the formula

M i = \frac{b \cdot d^{2} \cdot σ 0}{6}

Next Step Substitute values of Variables

∴

M i = \frac{80mm \cdot {20mm}^{2} \cdot 230N/mm²}{6}

Next Step Convert Units

∴

M i = \frac{0.08m \cdot {0.02m}^{2} \cdot 2.3E+8Pa}{6}

Next Step Prepare to Evaluate

∴

M i = \frac{0.08 \cdot {0.02}^{2} \cdot 2.3E+8}{6}

Next Step Evaluate

∴

M i = 1226.66666666667N*m

Next Step Convert to Output's Unit

∴

M i = 1226666.66666667N*mm

LAST Step Rounding Answer

∴

M i = 1.2E+6N*mm

Incipient Bending Moment of Rectangular Beam Formula Elements

Variables

Incipient Bending Moment

Incipient Bending Moment is the initial turning force that causes a beam to bend or deform when subjected to external loads or forces.

Symbol: M_i

Measurement: Moment of ForceUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Incipient Bending Moment

Breadth of Rectangular Beam

Breadth of Rectangular Beam is the horizontal distance of a rectangular beam's cross-section, perpendicular to its length, in bending beam applications.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Beam

Depth of Rectangular Beam

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.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangular Beam

Yield Stress

Yield Stress is the stress at which a material begins to deform plastically, typically measured in bending beams under external loads.

Symbol: σ₀

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Yield Stress

Other formulas in Plastic Bending of Beams category

Go Elasto Plastic Bending Moment of Rectangular Beam

M ep = \frac{σ 0 \cdot b \cdot (3 \cdot d^{2} - 4 \cdot η^{2})}{12}

Go Fully Plastic Bending Moment

M f = \frac{b \cdot d^{2} \cdot σ 0}{4}

How to Evaluate Incipient Bending Moment of Rectangular Beam?

Incipient Bending Moment of Rectangular Beam evaluator uses Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6 to evaluate 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 evaluate Incipient Bending Moment of Rectangular Beam using this online evaluator? To use this online evaluator 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.

FAQs on Incipient Bending Moment of Rectangular Beam

What is the formula to find Incipient Bending Moment of Rectangular Beam?

The formula of Incipient Bending Moment of Rectangular Beam is expressed as Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6. Here is an example- 1.2E+9 = (0.08*0.02^2*230000000)/6.

How to calculate Incipient Bending Moment of Rectangular Beam?

With Breadth of Rectangular Beam (b), Depth of Rectangular Beam (d) & Yield Stress (σ₀) we can find Incipient Bending Moment of Rectangular Beam using the formula - Incipient Bending Moment = (Breadth of Rectangular Beam*Depth of Rectangular Beam^2*Yield Stress)/6.

Can the Incipient Bending Moment of Rectangular Beam be negative?

No, the Incipient Bending Moment of Rectangular Beam, measured in Moment of Force cannot be negative.

Which unit is used to measure Incipient Bending Moment of Rectangular Beam?

Incipient Bending Moment of Rectangular Beam is usually measured using the Newton Millimeter[N*mm] for Moment of Force. Newton Meter[N*mm], Kilonewton Meter[N*mm], Millinewton Meter[N*mm] are the few other units in which Incipient Bending Moment of Rectangular Beam can be measured.

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Incipient Bending Moment of Rectangular Beam Formula

Incipient Bending Moment of Rectangular Beam Example

Incipient Bending Moment of Rectangular Beam Solution

Incipient Bending Moment of Rectangular Beam Formula Elements

Other formulas in Plastic Bending of Beams category

How to Evaluate Incipient Bending Moment of Rectangular Beam?

FAQs on Incipient Bending Moment of Rectangular Beam

Variable Name