Torsional Stress given Combined Bending and Torsional Stress Calculator

✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%
✖The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress [σ_b]			+10% -10%

✖Torsion is the twisting of an object due to an applied torque.ⓘ Torsional Stress given Combined Bending and Torsional Stress [T]

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Torsional Stress given Combined Bending and Torsional Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsion = (tan(2*Theta)/2)*Bending Stress
T = (tan(2*θ)/2)*σ_b
This formula uses 1 Functions, 3 Variables

Functions Used

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., tan(Angle)

Variables Used

Torsion - (Measured in Pascal) - Torsion is the twisting of an object due to an applied torque.
Theta - (Measured in Radian) - The Theta is the angle subtended by a plane of a body when stress is applied.
Bending Stress - (Measured in Pascal) - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

STEP 1: Convert Input(s) to Base Unit

Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Bending Stress: 0.72 Megapascal --> 720000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (tan(2*θ)/2)*σ_b --> (tan(2*0.5235987755982)/2)*720000

Evaluating ... ...

T = 623538.290724511

STEP 3: Convert Result to Output's Unit

623538.290724511 Pascal -->0.623538290724511 Megapascal (Check conversion here)

FINAL ANSWER

0.623538290724511 ≈ 0.623538 Megapascal <-- Torsion

(Calculation completed in 00.007 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Combined Bending and Torsion Condition Calculators

Angle of Twist in Combined Bending and Torsional Stress

LaTeX Go Theta = 0.5*arctan(2*Torsion/Bending Stress)

Angle of Twist in Combined Bending and Torsion

LaTeX Go Theta = (arctan(Torsion/Bending Moment))/2

Torsional Moment when Member is subjected to both Bending and Torsion

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

Bending Moment given Combined Bending and Torsion

LaTeX Go Bending Moment = Torsion/(tan(2*Theta))

Torsional Stress given Combined Bending and Torsional Stress Formula

LaTeX Go

Torsion = (tan(2*Theta)/2)*Bending Stress
T = (tan(2*θ)/2)*σ_b

What is Torsional Bending?

Torsional bending is the twisting of a beam under the action of a torque. It occurs when external loads act far away from the vertical plane of bending, and the beam is subjected to twisting about its longitudinal axis, known as torsion, in addition to the shearing force and bending moment.
Torsion on structural elements may be classified into two types: statically determinate, and statically indeterminate.

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

Torsional Stress given Combined Bending and Torsional Stress calculator uses Torsion = (tan(2*Theta)/2)*Bending Stress to calculate 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 calculate Torsional Stress given Combined Bending and Torsional Stress using this online calculator? To use this online calculator for Torsional Stress given Combined Bending and Torsional Stress, enter Theta (θ) & Bending Stress (σ_b) and hit the calculate button. Here is how the Torsional Stress given Combined Bending and Torsional Stress calculation can be explained with given input values -> 6.2E-7 = (tan(2*0.5235987755982)/2)*720000.

FAQ

What is Torsional Stress given Combined Bending and Torsional Stress?

The Torsional Stress given Combined Bending and Torsional Stress formula is defined as stress caused due to torsion and is represented as T = (tan(2*θ)/2)*σ_b or Torsion = (tan(2*Theta)/2)*Bending Stress. The Theta is the angle subtended by a plane of a body when stress is applied & The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

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

The Torsional Stress given Combined Bending and Torsional Stress formula is defined as stress caused due to torsion is calculated using Torsion = (tan(2*Theta)/2)*Bending Stress. To calculate Torsional Stress given Combined Bending and Torsional Stress, you need Theta (θ) & Bending Stress (σ_b). With our tool, you need to enter the respective value for Theta & Bending Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torsion?

In this formula, Torsion uses Theta & Bending Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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