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

GoTorsional Stress given Combined Bending and Torsional Stress Formula

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

T = M \cdot (\tan (2 \cdot θ))

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

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

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Here is how the Torsional Moment when Member is subjected to both Bending and Torsion equation looks like with Values.

Here is how the Torsional Moment when Member is subjected to both Bending and Torsion equation looks like with Units.

Here is how the Torsional Moment when Member is subjected to both Bending and Torsion equation looks like.

0.1169 = 67.5 \cdot (\tan (2 \cdot 30))

0.1169MPa = 67.5kN*m \cdot (\tan (2 \cdot 30°))

0.1169 = 67.5 \cdot (\tan (2 \cdot 30))

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

Follow our step by step solution on how to calculate Torsional Moment when Member is subjected to both Bending and Torsion?

FIRST Step Consider the formula

T = M \cdot (\tan (2 \cdot θ))

Next Step Substitute values of Variables

∴

T = 67.5kN*m \cdot (\tan (2 \cdot 30°))

Next Step Convert Units

∴

T = 67500N*m \cdot (\tan (2 \cdot 0.5236rad))

Next Step Prepare to Evaluate

∴

T = 67500 \cdot (\tan (2 \cdot 0.5236))

Next Step Evaluate

∴

T = 116913.429510846Pa

Next Step Convert to Output's Unit

∴

T = 0.116913429510846MPa

LAST Step Rounding Answer

∴

T = 0.1169MPa

Torsional Moment when Member is subjected to both Bending and Torsion Formula Elements

Variables

Functions

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

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

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 to find Torsion

Go Torsional Stress given Combined Bending and Torsional Stress

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

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 Bending Moment given Combined Bending and Torsion

M = \frac{T}{\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 Bending Stress given Combined Bending and Torsional Stress

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

How to Evaluate Torsional Moment when Member is subjected to both Bending and Torsion?

Torsional Moment when Member is subjected to both Bending and Torsion evaluator uses Torsion = Bending Moment*(tan(2*Theta)) to evaluate the Torsion, The Torsional Moment when Member is subjected to both Bending and Torsion formula is defined as the twisting moment, or the Torque required to cause the twisting of the member. Torsion is denoted by T symbol.

How to evaluate Torsional Moment when Member is subjected to both Bending and Torsion using this online evaluator? To use this online evaluator for Torsional Moment when Member is subjected to both Bending and Torsion, enter Bending Moment (M) & Theta (θ) and hit the calculate button.

FAQs on Torsional Moment when Member is subjected to both Bending and Torsion

What is the formula to find Torsional Moment when Member is subjected to both Bending and Torsion?

The formula of Torsional Moment when Member is subjected to both Bending and Torsion is expressed as Torsion = Bending Moment*(tan(2*Theta)). Here is an example- 1.2E-7 = 67500*(tan(2*0.5235987755982)).

How to calculate Torsional Moment when Member is subjected to both Bending and Torsion?

With Bending Moment (M) & Theta (θ) we can find Torsional Moment when Member is subjected to both Bending and Torsion using the formula - Torsion = Bending Moment*(tan(2*Theta)). This formula also uses Tangent function(s).

What are the other ways to Calculate Torsion?

Here are the different ways to Calculate Torsion-

Torsion=(tan(2*Theta)/2)*Bending Stress

Can the Torsional Moment when Member is subjected to both Bending and Torsion be negative?

No, the Torsional Moment when Member is subjected to both Bending and Torsion, measured in Stress cannot be negative.

Which unit is used to measure Torsional Moment when Member is subjected to both Bending and Torsion?

Torsional Moment when Member is subjected to both Bending and Torsion is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Torsional Moment when Member is subjected to both Bending and Torsion can be measured.

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

​GoTorsional Stress given Combined Bending and Torsional Stress Formula

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

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

Torsional Moment when Member is subjected to both Bending and Torsion Formula Elements

Other Formulas to find Torsion

Other formulas in Combined Bending and Torsion Condition category

How to Evaluate Torsional Moment when Member is subjected to both Bending and Torsion?

FAQs on Torsional Moment when Member is subjected to both Bending and Torsion

Variable Name

GoTorsional Stress given Combined Bending and Torsional Stress Formula