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Stress on Inclined Plane Formula

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Stress on inclined plane is state of stress at points located on inclined sections or planes under axial loading. Check FAQs

σ i = \frac{P t \cdot {(\cos (θ))}^{2}}{A i}

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

Stress on Inclined Plane Example

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

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

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

49.9995 = \frac{59611 \cdot {(\cos (35))}^{2}}{800}

49.9995MPa = \frac{59611N \cdot {(\cos (35°))}^{2}}{800mm²}

49.9995 = \frac{59611 \cdot {(\cos (35))}^{2}}{800}

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Stress on Inclined Plane Solution

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

FIRST Step Consider the formula

σ i = \frac{P t \cdot {(\cos (θ))}^{2}}{A i}

Next Step Substitute values of Variables

∴

σ i = \frac{59611N \cdot {(\cos (35°))}^{2}}{800mm²}

Next Step Convert Units

∴

σ i = \frac{59611N \cdot {(\cos (0.6109rad))}^{2}}{0.0008m²}

Next Step Prepare to Evaluate

∴

σ i = \frac{59611 \cdot {(\cos (0.6109))}^{2}}{0.0008}

Next Step Evaluate

∴

σ i = 49999476.7273745Pa

Next Step Convert to Output's Unit

∴

σ i = 49.9994767273745MPa

LAST Step Rounding Answer

∴

σ i = 49.9995MPa

Stress on Inclined Plane Formula Elements

Variables

Functions

Stress on Inclined Plane

Stress on inclined plane is state of stress at points located on inclined sections or planes under axial loading.

Symbol: σ_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find 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

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

𝜏 = \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 Stress on Inclined Plane?

Stress on Inclined Plane evaluator uses Stress on Inclined Plane = (Tensile Load*(cos(Theta))^2)/Area of Inclined Plane to evaluate the Stress on Inclined Plane, The Stress on inclined plane formula is defined as state of stress at points located on inclined sections or planes under axial loading. Stress on Inclined Plane is denoted by σ_i symbol.

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

FAQs on Stress on Inclined Plane

What is the formula to find Stress on Inclined Plane?

The formula of Stress on Inclined Plane is expressed as Stress on Inclined Plane = (Tensile Load*(cos(Theta))^2)/Area of Inclined Plane. Here is an example- 5E-8 = (59611*(cos(0.610865238197901))^2)/0.0008.

How to calculate Stress on Inclined Plane?

With Tensile Load (P_t), Theta (θ) & Area of Inclined Plane (A_i) we can find Stress on Inclined Plane using the formula - Stress on Inclined Plane = (Tensile Load*(cos(Theta))^2)/Area of Inclined Plane. This formula also uses Cosine (cos) function(s).

Can the Stress on Inclined Plane be negative?

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

Which unit is used to measure Stress on Inclined Plane?

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 Stress on Inclined Plane can be measured.

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Stress on Inclined Plane Formula

Stress on Inclined Plane Example

Stress on Inclined Plane Solution

Stress on Inclined Plane Formula Elements

Other formulas in Stress category

How to Evaluate Stress on Inclined Plane?

FAQs on Stress on Inclined Plane

Variable Name