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Bending Moment due to Stresses Formula

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Applied Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Check FAQs

M = \frac{B \cdot I}{y}

M - Applied Bending Moment?B - Tensile Bending Stress?I - Moment of Inertia?y - Distance?

Bending Moment due to Stresses Example

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Here is how the Bending Moment due to Stresses equation looks like with Values.

Here is how the Bending Moment due to Stresses equation looks like with Units.

Here is how the Bending Moment due to Stresses equation looks like.

0.5389 = \frac{12985 \cdot 8.3E+6}{200}

0.5389N*mm = \frac{12985N*mm \cdot 8.3E+6mm⁴}{200mm}

0.5389 = \frac{12985 \cdot 8.3E+6}{200}

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Bending Moment due to Stresses Solution

Follow our step by step solution on how to calculate Bending Moment due to Stresses?

FIRST Step Consider the formula

M = \frac{B \cdot I}{y}

Next Step Substitute values of Variables

∴

M = \frac{12985N*mm \cdot 8.3E+6mm⁴}{200mm}

Next Step Convert Units

∴

M = \frac{12.985N*m \cdot 8.3E-6m⁴}{0.2m}

Next Step Prepare to Evaluate

∴

M = \frac{12.985 \cdot 8.3E-6}{0.2}

Next Step Evaluate

∴

M = 0.0005388775N*m

Next Step Convert to Output's Unit

∴

M = 0.5388775N*mm

LAST Step Rounding Answer

∴

M = 0.5389N*mm

Bending Moment due to Stresses Formula Elements

Variables

Applied Bending Moment

Applied Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Applied Bending Moment

Tensile Bending Stress

Tensile Bending Stress can be described as the Stress represents the action of a force or moment on a structural member. If the force pulls the member (tension), it results in tensile stress.

Symbol: B

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Tensile Bending Stress

Moment of Inertia

Moment of Inertia about the Neutral Axis is equal to the sum of the products of each element of mass in the body and the square of the element's distance from the axis.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Distance

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance

Other formulas in Fundamental Stress Analysis category

Go Compressive Stress using External Applied Load

f appliedload = \frac{W}{A}

Go Shear Stress using External Applied Load

f s = \frac{W}{A}

Go Tensile Stress using External Applied Load

f t = \frac{W}{A}

Go Stresses Due to Torsion

T = 𝜏 max \cdot Z p

How to Evaluate Bending Moment due to Stresses?

Bending Moment due to Stresses evaluator uses Applied Bending Moment = (Tensile Bending Stress*Moment of Inertia)/(Distance) to evaluate the Applied Bending Moment, Bending Moment due to Stresses is caused due to the stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Applied Bending Moment is denoted by M symbol.

How to evaluate Bending Moment due to Stresses using this online evaluator? To use this online evaluator for Bending Moment due to Stresses, enter Tensile Bending Stress (B), Moment of Inertia (I) & Distance (y) and hit the calculate button.

FAQs on Bending Moment due to Stresses

What is the formula to find Bending Moment due to Stresses?

The formula of Bending Moment due to Stresses is expressed as Applied Bending Moment = (Tensile Bending Stress*Moment of Inertia)/(Distance). Here is an example- 41.5 = (12.985*8.3E-06)/(0.2).

How to calculate Bending Moment due to Stresses?

With Tensile Bending Stress (B), Moment of Inertia (I) & Distance (y) we can find Bending Moment due to Stresses using the formula - Applied Bending Moment = (Tensile Bending Stress*Moment of Inertia)/(Distance).

Can the Bending Moment due to Stresses be negative?

No, the Bending Moment due to Stresses, measured in Bending Moment cannot be negative.

Which unit is used to measure Bending Moment due to Stresses?

Bending Moment due to Stresses is usually measured using the Newton Millimeter[N*mm] for Bending Moment. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Bending Moment due to Stresses can be measured.

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Bending Moment due to Stresses Formula

Bending Moment due to Stresses Example

Bending Moment due to Stresses Solution

Bending Moment due to Stresses Formula Elements

Other formulas in Fundamental Stress Analysis category

How to Evaluate Bending Moment due to Stresses?

FAQs on Bending Moment due to Stresses

Variable Name