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Torsional Stress given Combined Bending and Torsional Stress Formula

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

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

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

T - Torsion?θ - Theta?σ_b - Bending Stress?

Torsional Stress given Combined Bending and Torsional Stress Example

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Here is how the Torsional Stress given Combined Bending and Torsional Stress equation looks like with Values.

Here is how the Torsional Stress given Combined Bending and Torsional Stress equation looks like with Units.

Here is how the Torsional Stress given Combined Bending and Torsional Stress equation looks like.

0.6235 = (\frac{\tan (2 \cdot 30)}{2}) \cdot 0.72

0.6235MPa = (\frac{\tan (2 \cdot 30°)}{2}) \cdot 0.72MPa

0.6235 = (\frac{\tan (2 \cdot 30)}{2}) \cdot 0.72

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Torsional Stress given Combined Bending and Torsional Stress Solution

Follow our step by step solution on how to calculate Torsional Stress given Combined Bending and Torsional Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = (\frac{\tan (2 \cdot 30°)}{2}) \cdot 0.72MPa

Next Step Convert Units

∴

T = (\frac{\tan (2 \cdot 0.5236rad)}{2}) \cdot 720000Pa

Next Step Prepare to Evaluate

∴

T = (\frac{\tan (2 \cdot 0.5236)}{2}) \cdot 720000

Next Step Evaluate

∴

T = 623538.290724511Pa

Next Step Convert to Output's Unit

∴

T = 0.623538290724511MPa

LAST Step Rounding Answer

∴

T = 0.6235MPa

Torsional Stress given Combined Bending and Torsional Stress 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

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

Bending Stress

The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress

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 Moment when Member is subjected to both Bending and Torsion

T = M \cdot (\tan (2 \cdot θ))

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 Stress given Combined Bending and Torsional Stress?

Torsional Stress given Combined Bending and Torsional Stress evaluator uses Torsion = (tan(2*Theta)/2)*Bending Stress to evaluate the Torsion, The Torsional Stress given Combined Bending and Torsional Stress formula is defined as stress caused due to torsion. Torsion is denoted by T symbol.

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

FAQs on Torsional Stress given Combined Bending and Torsional Stress

What is the formula to find Torsional Stress given Combined Bending and Torsional Stress?

The formula of Torsional Stress given Combined Bending and Torsional Stress is expressed as Torsion = (tan(2*Theta)/2)*Bending Stress. Here is an example- 6.2E-7 = (tan(2*0.5235987755982)/2)*720000.

How to calculate Torsional Stress given Combined Bending and Torsional Stress?

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

What are the other ways to Calculate Torsion?

Here are the different ways to Calculate Torsion-

Torsion=Bending Moment*(tan(2*Theta))

Can the Torsional Stress given Combined Bending and Torsional Stress be negative?

No, the Torsional Stress given Combined Bending and Torsional Stress, measured in Stress cannot be negative.

Which unit is used to measure Torsional Stress given Combined Bending and Torsional Stress?

Torsional Stress given Combined Bending and Torsional Stress 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 Stress given Combined Bending and Torsional Stress can be measured.

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Torsional Stress given Combined Bending and Torsional Stress Formula

​GoTorsional Moment when Member is subjected to both Bending and Torsion Formula

Torsional Stress given Combined Bending and Torsional Stress Example

Torsional Stress given Combined Bending and Torsional Stress Solution

Torsional Stress given Combined Bending and Torsional Stress Formula Elements

Other Formulas to find Torsion

Other formulas in Combined Bending and Torsion Condition category

How to Evaluate Torsional Stress given Combined Bending and Torsional Stress?

FAQs on Torsional Stress given Combined Bending and Torsional Stress

Variable Name

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