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Shear Stress on Inclined Plane Formula

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Shear stress on inclined plane is the state of stress at points located on inclined sections or planes under shear loading. Check FAQs

ζ i = - P t \cdot \sin (θ) \cdot \frac{\cos (θ)}{A i}

ζ_i - Shear Stress on Inclined Plane?P_t - Tensile Load?θ - Theta?A_i - Area of Inclined Plane?

Shear Stress on Inclined Plane Example

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Here is how the Shear Stress on Inclined Plane equation looks like with Values.

Here is how the Shear Stress on Inclined Plane equation looks like with Units.

Here is how the Shear Stress on Inclined Plane equation looks like.

-35.01 = - 59611 \cdot \sin (35) \cdot \frac{\cos (35)}{800}

-35.01MPa = - 59611N \cdot \sin (35°) \cdot \frac{\cos (35°)}{800mm²}

-35.01 = - 59611 \cdot \sin (35) \cdot \frac{\cos (35)}{800}

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Shear Stress on Inclined Plane Solution

Follow our step by step solution on how to calculate Shear Stress on Inclined Plane?

FIRST Step Consider the formula

ζ i = - P t \cdot \sin (θ) \cdot \frac{\cos (θ)}{A i}

Next Step Substitute values of Variables

∴

ζ i = - 59611N \cdot \sin (35°) \cdot \frac{\cos (35°)}{800mm²}

Next Step Convert Units

∴

ζ i = - 59611N \cdot \sin (0.6109rad) \cdot \frac{\cos (0.6109rad)}{0.0008m²}

Next Step Prepare to Evaluate

∴

ζ i = - 59611 \cdot \sin (0.6109) \cdot \frac{\cos (0.6109)}{0.0008}

Next Step Evaluate

∴

ζ i = -35010010.5110401Pa

Next Step Convert to Output's Unit

∴

ζ i = -35.0100105110401MPa

LAST Step Rounding Answer

∴

ζ i = -35.01MPa

Shear Stress on Inclined Plane Formula Elements

Variables

Functions

Shear Stress on Inclined Plane

Shear stress on inclined plane is the state of stress at points located on inclined sections or planes under shear loading.

Symbol: ζ_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Shear Stress on Inclined Plane

Tensile Load

Tensile load is a load that is applied to a body longitudinally.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Load

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Theta

Area of Inclined Plane

Area of inclined plane is the effective surface area of a plane that is tilted or inclined at an angle relative to the horizontal.

Symbol: A_i

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Inclined Plane

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Stress category

Go Beam Shear Stress

ζ b = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

How to Evaluate Shear Stress on Inclined Plane?

Shear Stress on Inclined Plane evaluator uses Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane to evaluate the Shear Stress on Inclined Plane, The Shear stress on inclined plane formula is defined as the measure of the state of stress at points located on inclined sections or planes under shear loading. Shear Stress on Inclined Plane is denoted by ζ_i symbol.

How to evaluate Shear Stress on Inclined Plane using this online evaluator? To use this online evaluator for Shear Stress on Inclined Plane, enter Tensile Load (P_t), Theta (θ) & Area of Inclined Plane (A_i) and hit the calculate button.

FAQs on Shear Stress on Inclined Plane

What is the formula to find Shear Stress on Inclined Plane?

The formula of Shear Stress on Inclined Plane is expressed as Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane. Here is an example- -3.5E-8 = -59611*sin(0.610865238197901)*cos(0.610865238197901)/0.0008.

How to calculate Shear Stress on Inclined Plane?

With Tensile Load (P_t), Theta (θ) & Area of Inclined Plane (A_i) we can find Shear Stress on Inclined Plane using the formula - Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane. This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Shear Stress on Inclined Plane be negative?

Yes, the Shear Stress on Inclined Plane, measured in Pressure can be negative.

Which unit is used to measure Shear Stress on Inclined Plane?

Shear Stress on Inclined Plane is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Shear Stress on Inclined Plane can be measured.

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Shear Stress on Inclined Plane Formula

Shear Stress on Inclined Plane Example

Shear Stress on Inclined Plane Solution

Shear Stress on Inclined Plane Formula Elements

Other formulas in Stress category

How to Evaluate Shear Stress on Inclined Plane?

FAQs on Shear Stress on Inclined Plane

Variable Name