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Normal Stress when Complementary Shear Stresses Induced Formula

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Normal Stress on Oblique Plane is the stress acting normally to its oblique plane. Check FAQs

σ θ = τ \cdot \sin (2 \cdot θ)

σ_θ - Normal Stress on Oblique Plane?τ - Shear Stress?θ - Theta?

Normal Stress when Complementary Shear Stresses Induced Example

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Here is how the Normal Stress when Complementary Shear Stresses Induced equation looks like with Values.

Here is how the Normal Stress when Complementary Shear Stresses Induced equation looks like with Units.

Here is how the Normal Stress when Complementary Shear Stresses Induced equation looks like.

47.6314 = 55 \cdot \sin (2 \cdot 30)

47.6314MPa = 55MPa \cdot \sin (2 \cdot 30°)

47.6314 = 55 \cdot \sin (2 \cdot 30)

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Normal Stress when Complementary Shear Stresses Induced Solution

Follow our step by step solution on how to calculate Normal Stress when Complementary Shear Stresses Induced?

FIRST Step Consider the formula

σ θ = τ \cdot \sin (2 \cdot θ)

Next Step Substitute values of Variables

∴

σ θ = 55MPa \cdot \sin (2 \cdot 30°)

Next Step Convert Units

∴

σ θ = 5.5E+7Pa \cdot \sin (2 \cdot 0.5236rad)

Next Step Prepare to Evaluate

∴

σ θ = 5.5E+7 \cdot \sin (2 \cdot 0.5236)

Next Step Evaluate

∴

σ θ = 47631397.2081387Pa

Next Step Convert to Output's Unit

∴

σ θ = 47.6313972081387MPa

LAST Step Rounding Answer

∴

σ θ = 47.6314MPa

Normal Stress when Complementary Shear Stresses Induced Formula Elements

Variables

Functions

Normal Stress on Oblique Plane

Normal Stress on Oblique Plane is the stress acting normally to its oblique plane.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Normal Stress on Oblique Plane

Shear Stress

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Complementary Induced Stress category

Go Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane

τ = \frac{σ θ}{\sin (2 \cdot θ)}

Go Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced

θ = \frac{a \sin (\frac{σ θ}{τ})}{2}

Go Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

τ θ = τ \cdot \cos (2 \cdot θ)

Go Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane

τ = \frac{τ θ}{\cos (2 \cdot θ)}

How to Evaluate Normal Stress when Complementary Shear Stresses Induced?

Normal Stress when Complementary Shear Stresses Induced evaluator uses Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta) to evaluate the Normal Stress on Oblique Plane, The Normal Stress when Complementary Shear Stresses Induced formula is defined as the induced stress that can be used to calculate the magnitude of stress generated when the member is subjected to a pair of equal and opposite shear stresses. Normal Stress on Oblique Plane is denoted by σ_θ symbol.

How to evaluate Normal Stress when Complementary Shear Stresses Induced using this online evaluator? To use this online evaluator for Normal Stress when Complementary Shear Stresses Induced, enter Shear Stress (τ) & Theta (θ) and hit the calculate button.

FAQs on Normal Stress when Complementary Shear Stresses Induced

What is the formula to find Normal Stress when Complementary Shear Stresses Induced?

The formula of Normal Stress when Complementary Shear Stresses Induced is expressed as Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta). Here is an example- 4.8E-5 = 55000000*sin(2*0.5235987755982).

How to calculate Normal Stress when Complementary Shear Stresses Induced?

With Shear Stress (τ) & Theta (θ) we can find Normal Stress when Complementary Shear Stresses Induced using the formula - Normal Stress on Oblique Plane = Shear Stress*sin(2*Theta). This formula also uses Sine (sin) function(s).

Can the Normal Stress when Complementary Shear Stresses Induced be negative?

Yes, the Normal Stress when Complementary Shear Stresses Induced, measured in Stress can be negative.

Which unit is used to measure Normal Stress when Complementary Shear Stresses Induced?

Normal Stress when Complementary Shear Stresses Induced 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 Normal Stress when Complementary Shear Stresses Induced can be measured.

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