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Bending Stress given Combined Bending and Torsional Stress Formula

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

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

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

Bending Stress given Combined Bending and Torsional Stress Example

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

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

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

0.135 = \frac{0.1169}{\frac{\tan (2 \cdot 30)}{2}}

0.135MPa = \frac{0.1169MPa}{\frac{\tan (2 \cdot 30°)}{2}}

0.135 = \frac{0.1169}{\frac{\tan (2 \cdot 30)}{2}}

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Bending Stress given Combined Bending and Torsional Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ b = \frac{0.1169MPa}{\frac{\tan (2 \cdot 30°)}{2}}

Next Step Convert Units

∴

σ b = \frac{116913Pa}{\frac{\tan (2 \cdot 0.5236rad)}{2}}

Next Step Prepare to Evaluate

∴

σ b = \frac{116913}{\frac{\tan (2 \cdot 0.5236)}{2}}

Next Step Evaluate

∴

σ b = 134999.504043595Pa

Next Step Convert to Output's Unit

∴

σ b = 0.134999504043595MPa

LAST Step Rounding Answer

∴

σ b = 0.135MPa

Bending Stress given Combined Bending and Torsional Stress Formula Elements

Variables

Functions

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

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

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 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 Torsional Moment when Member is subjected to both Bending and Torsion

T = M \cdot (\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})

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

Bending Stress given Combined Bending and Torsional Stress evaluator uses Bending Stress = Torsion/(tan(2*Theta)/2) to evaluate 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 evaluate Bending Stress given Combined Bending and Torsional Stress using this online evaluator? To use this online evaluator for Bending Stress given Combined Bending and Torsional Stress, enter Torsion (T) & Theta (θ) and hit the calculate button.

FAQs on Bending Stress given Combined Bending and Torsional Stress

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

The formula of Bending Stress given Combined Bending and Torsional Stress is expressed as Bending Stress = Torsion/(tan(2*Theta)/2). Here is an example- 3.1E-6 = 116913/(tan(2*0.5235987755982)/2).

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

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

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

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

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

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

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Bending Stress given Combined Bending and Torsional Stress Formula

Bending Stress given Combined Bending and Torsional Stress Example

Bending Stress given Combined Bending and Torsional Stress Solution

Bending Stress given Combined Bending and Torsional Stress Formula Elements

Other formulas in Combined Bending and Torsion Condition category

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

FAQs on Bending Stress given Combined Bending and Torsional Stress

Variable Name