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Area of Inclined Plane given Stress Formula

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

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

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

Area of Inclined Plane given Stress Example

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Here is how the Area of Inclined Plane given Stress equation looks like with Values.

Here is how the Area of Inclined Plane given Stress equation looks like with Units.

Here is how the Area of Inclined Plane given Stress equation looks like.

799.9916 = \frac{59611 \cdot {(\cos (35))}^{2}}{50}

799.9916mm² = \frac{59611N \cdot {(\cos (35°))}^{2}}{50MPa}

799.9916 = \frac{59611 \cdot {(\cos (35))}^{2}}{50}

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Area of Inclined Plane given Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A i = \frac{59611N \cdot {(\cos (35°))}^{2}}{50MPa}

Next Step Convert Units

∴

A i = \frac{59611N \cdot {(\cos (0.6109rad))}^{2}}{5E+7Pa}

Next Step Prepare to Evaluate

∴

A i = \frac{59611 \cdot {(\cos (0.6109))}^{2}}{5E+7}

Next Step Evaluate

∴

A i = 0.000799991627637993m²

Next Step Convert to Output's Unit

∴

A i = 799.991627637993mm²

LAST Step Rounding Answer

∴

A i = 799.9916mm²

Area of Inclined Plane given Stress Formula Elements

Variables

Functions

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

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

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

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 Area of Inclined Plane given Stress?

Area of Inclined Plane given Stress evaluator uses Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane to evaluate the Area of Inclined Plane, The Area of Inclined Plane given Stress formula is defined as the product of the tensile load multiplied by the square of the cosine of the angle squared, divided by the stress on the inclined plane. Area of Inclined Plane is denoted by A_i symbol.

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

FAQs on Area of Inclined Plane given Stress

What is the formula to find Area of Inclined Plane given Stress?

The formula of Area of Inclined Plane given Stress is expressed as Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane. Here is an example- 805212.1 = (59611*(cos(0.610865238197901))^2)/50000000.

How to calculate Area of Inclined Plane given Stress?

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

Can the Area of Inclined Plane given Stress be negative?

No, the Area of Inclined Plane given Stress, measured in Area cannot be negative.

Which unit is used to measure Area of Inclined Plane given Stress?

Area of Inclined Plane given Stress is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Inclined Plane given Stress can be measured.

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Area of Inclined Plane given Stress Formula

Area of Inclined Plane given Stress Example

Area of Inclined Plane given Stress Solution

Area of Inclined Plane given Stress Formula Elements

Other formulas in Stress category

How to Evaluate Area of Inclined Plane given Stress?

FAQs on Area of Inclined Plane given Stress

Variable Name