Bending Moment given Combined Bending and Torsion Calculator

✖Torsion is the twisting of an object due to an applied torque.ⓘ Torsion [T]			+10% -10%
✖The Theta is the angle subtended by a plane of a body when stress is applied.ⓘ Theta [θ]			+10% -10%

✖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 given Combined Bending and Torsion [M]

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Bending Moment given Combined Bending and Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Torsion: 0.116913 Megapascal --> 116913 Pascal (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = T/(tan(2*θ)) --> 116913/(tan(2*0.5235987755982))

Evaluating ... ...

M = 67499.7520217975

STEP 3: Convert Result to Output's Unit

67499.7520217975 Newton Meter -->67.4997520217975 Kilonewton Meter (Check conversion here)

FINAL ANSWER

67.4997520217975 ≈ 67.49975 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.020 seconds)

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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))

Bending Moment given Combined Bending and Torsion Formula

LaTeX Go

Bending Moment = Torsion/(tan(2*Theta))
M = T/(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 Bending Moment given Combined Bending and Torsion?

Bending Moment given Combined Bending and Torsion calculator uses Bending Moment = Torsion/(tan(2*Theta)) to calculate 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 calculate Bending Moment given Combined Bending and Torsion using this online calculator? To use this online calculator for Bending Moment given Combined Bending and Torsion, enter Torsion (T) & Theta (θ) and hit the calculate button. Here is how the Bending Moment given Combined Bending and Torsion calculation can be explained with given input values -> 1.541525 = 116913/(tan(2*0.5235987755982)).

FAQ

What is Bending Moment given Combined Bending and Torsion?

The Bending Moment given Combined Bending and Torsion Condition formula is defined as the amount of bending stress acting on a member and is represented as M = T/(tan(2*θ)) or Bending Moment = Torsion/(tan(2*Theta)). Torsion is the twisting of an object due to an applied torque & The Theta is the angle subtended by a plane of a body when stress is applied.

How to calculate Bending Moment given Combined Bending and Torsion?

The Bending Moment given Combined Bending and Torsion Condition formula is defined as the amount of bending stress acting on a member is calculated using Bending Moment = Torsion/(tan(2*Theta)). To calculate Bending Moment given Combined Bending and Torsion, you need Torsion (T) & Theta (θ). With our tool, you need to enter the respective value for Torsion & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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