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

✖Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.ⓘ Bending Moment [M]			+10% -10%
✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%

✖Torsion is the twisting of an object due to an applied torque.ⓘ Torsional Moment when Member is subjected to both Bending and Torsion [T]

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Torsional Moment when Member is subjected to both Bending and Torsion

Formula

`"T" = "M"*(tan(2*"θ"))`

Example

`"0.116913MPa"="67.5kN*m"*(tan(2*"30°"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Torsion = Bending Moment*(tan(2*Theta))
T = M*(tan(2*θ))
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.
Bending Moment - (Measured in Newton Meter) - Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.
Theta - (Measured in Radian) - The Theta is the angle subtended by a plane of a body when stress is applied.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 67.5 Kilonewton Meter --> 67500 Newton Meter (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = M*(tan(2*θ)) --> 67500*(tan(2*0.5235987755982))

Evaluating ... ...

T = 116913.429510846

STEP 3: Convert Result to Output's Unit

116913.429510846 Pascal -->0.116913429510846 Megapascal (Check conversion here)

FINAL ANSWER

0.116913429510846 ≈ 0.116913 Megapascal <-- Torsion

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 6 Combined Bending and Torsion Condition Calculators

Angle of Twist in Combined Bending and Torsional Stress

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

Angle of Twist in Combined Bending and Torsion

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

Torsional Stress given Combined Bending and Torsional Stress

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

Bending Stress given Combined Bending and Torsional Stress

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

Torsional Moment when Member is subjected to both Bending and Torsion

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

Bending Moment given Combined Bending and Torsion

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

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

Torsion = Bending Moment*(tan(2*Theta))
T = M*(tan(2*θ))

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 Moment when Member is subjected to both Bending and Torsion?

Torsional Moment when Member is subjected to both Bending and Torsion calculator uses Torsion = Bending Moment*(tan(2*Theta)) to calculate 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 calculate Torsional Moment when Member is subjected to both Bending and Torsion using this online calculator? To use this online calculator for Torsional Moment when Member is subjected to both Bending and Torsion, enter Bending Moment (M) & Theta (θ) and hit the calculate button. Here is how the Torsional Moment when Member is subjected to both Bending and Torsion calculation can be explained with given input values -> 1.2E-7 = 67500*(tan(2*0.5235987755982)).

FAQ

What is Torsional Moment when Member is subjected to both Bending and 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 and is represented as T = M*(tan(2*θ)) or Torsion = Bending Moment*(tan(2*Theta)). Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend & The Theta is the angle subtended by a plane of a body when stress is applied.

How to calculate Torsional Moment when Member is subjected to both Bending and 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 is calculated using Torsion = Bending Moment*(tan(2*Theta)). To calculate Torsional Moment when Member is subjected to both Bending and Torsion, you need Bending Moment (M) & Theta (θ). With our tool, you need to enter the respective value for Bending Moment & Theta 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 Bending Moment & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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