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Bending Moment given Combined Bending and Torsion Formula

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

M = \frac{T}{\tan (2 \cdot θ)}

M - Bending Moment?T - Torsion?θ - Theta?

Bending Moment given Combined Bending and Torsion Example

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Here is how the Bending Moment given Combined Bending and Torsion equation looks like with Values.

Here is how the Bending Moment given Combined Bending and Torsion equation looks like with Units.

Here is how the Bending Moment given Combined Bending and Torsion equation looks like.

67.4998 = \frac{0.1169}{\tan (2 \cdot 30)}

67.4998kN*m = \frac{0.1169MPa}{\tan (2 \cdot 30°)}

67.4998 = \frac{0.1169}{\tan (2 \cdot 30)}

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Bending Moment given Combined Bending and Torsion Solution

Follow our step by step solution on how to calculate Bending Moment given Combined Bending and Torsion?

FIRST Step Consider the formula

M = \frac{T}{\tan (2 \cdot θ)}

Next Step Substitute values of Variables

∴

M = \frac{0.1169MPa}{\tan (2 \cdot 30°)}

Next Step Convert Units

∴

M = \frac{116913Pa}{\tan (2 \cdot 0.5236rad)}

Next Step Prepare to Evaluate

∴

M = \frac{116913}{\tan (2 \cdot 0.5236)}

Next Step Evaluate

∴

M = 67499.7520217975N*m

Next Step Convert to Output's Unit

∴

M = 67.4997520217975kN*m

LAST Step Rounding Answer

∴

M = 67.4998kN*m

Bending Moment given Combined Bending and Torsion Formula Elements

Variables

Functions

Bending Moment

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

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Torsion

Torsion is the twisting of an object due to an applied torque.

Symbol: T

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Torsion

Theta

The Theta is the angle subtended by a plane of a body when stress is applied.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Theta

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Combined Bending and Torsion Condition category

Go Angle of Twist in Combined Bending and Torsion

θ = \frac{\arctan (\frac{T}{M})}{2}

Go Torsional Moment when Member is subjected to both Bending and Torsion

T = M \cdot (\tan (2 \cdot θ))

Go Angle of Twist in Combined Bending and Torsional Stress

θ = 0.5 \cdot \arctan (2 \cdot \frac{T}{σ b})

Go Torsional Stress given Combined Bending and Torsional Stress

T = (\frac{\tan (2 \cdot θ)}{2}) \cdot σ b

How to Evaluate Bending Moment given Combined Bending and Torsion?

Bending Moment given Combined Bending and Torsion evaluator uses Bending Moment = Torsion/(tan(2*Theta)) to evaluate the Bending Moment, The Bending Moment given Combined Bending and Torsion Condition formula is defined as the amount of bending stress acting on a member. Bending Moment is denoted by M symbol.

How to evaluate Bending Moment given Combined Bending and Torsion using this online evaluator? To use this online evaluator for Bending Moment given Combined Bending and Torsion, enter Torsion (T) & Theta (θ) and hit the calculate button.

FAQs on Bending Moment given Combined Bending and Torsion

What is the formula to find Bending Moment given Combined Bending and Torsion?

The formula of Bending Moment given Combined Bending and Torsion is expressed as Bending Moment = Torsion/(tan(2*Theta)). Here is an example- 1.541525 = 116913/(tan(2*0.5235987755982)).

How to calculate Bending Moment given Combined Bending and Torsion?

With Torsion (T) & Theta (θ) we can find Bending Moment given Combined Bending and Torsion using the formula - Bending Moment = Torsion/(tan(2*Theta)). This formula also uses Tangent (tan) function(s).

Can the Bending Moment given Combined Bending and Torsion be negative?

No, the Bending Moment given Combined Bending and Torsion, measured in Moment of Force cannot be negative.

Which unit is used to measure Bending Moment given Combined Bending and Torsion?

Bending Moment given Combined Bending and Torsion is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Bending Moment given Combined Bending and Torsion can be measured.

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Bending Moment given Combined Bending and Torsion Formula

Bending Moment given Combined Bending and Torsion Example

Bending Moment given Combined Bending and Torsion Solution

Bending Moment given Combined Bending and Torsion Formula Elements

Other formulas in Combined Bending and Torsion Condition category

How to Evaluate Bending Moment given Combined Bending and Torsion?

FAQs on Bending Moment given Combined Bending and Torsion

Variable Name