Bending Stress given Combined Bending and Torsional Stress 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%

✖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 given Combined Bending and Torsional Stress [σ_b]

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Bending Stress given Combined Bending and Torsional Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

Evaluating ... ...

σ_b = 134999.504043595

STEP 3: Convert Result to Output's Unit

134999.504043595 Pascal -->0.134999504043595 Megapascal (Check conversion here)

FINAL ANSWER

0.134999504043595 ≈ 0.135 Megapascal <-- Bending Stress

(Calculation completed in 00.004 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 Stress given Combined Bending and Torsional Stress Formula

LaTeX Go

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

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 Stress given Combined Bending and Torsional Stress?

Bending Stress given Combined Bending and Torsional Stress calculator uses Bending Stress = Torsion/(tan(2*Theta)/2) to calculate the Bending Stress, The Bending Stress given Combined Bending and Torsional Stress formula is defined as stress caused due to bending. Bending Stress is denoted by σ_b symbol.

How to calculate Bending Stress given Combined Bending and Torsional Stress using this online calculator? To use this online calculator for Bending Stress given Combined Bending and Torsional Stress, enter Torsion (T) & Theta (θ) and hit the calculate button. Here is how the Bending Stress given Combined Bending and Torsional Stress calculation can be explained with given input values -> 3.1E-6 = 116913/(tan(2*0.5235987755982)/2).

FAQ

What is Bending Stress given Combined Bending and Torsional Stress?

The Bending Stress given Combined Bending and Torsional Stress formula is defined as stress caused due to bending and is represented as σ_b = T/(tan(2*θ)/2) or Bending Stress = Torsion/(tan(2*Theta)/2). 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 Stress given Combined Bending and Torsional Stress?

The Bending Stress given Combined Bending and Torsional Stress formula is defined as stress caused due to bending is calculated using Bending Stress = Torsion/(tan(2*Theta)/2). To calculate Bending Stress given Combined Bending and Torsional Stress, 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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