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Load of Inclined Plane given Stress Formula

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

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

P_t - Tensile load?σ_i - Stress on inclined plane?A_i - Area of inclined plane?θ - Theta?

Load of Inclined Plane given Stress Example

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

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

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

59.6116 = \frac{50 \cdot 800}{{(\cos (35))}^{2}}

59.6116kN = \frac{50MPa \cdot 800mm²}{{(\cos (35°))}^{2}}

59.6116 = \frac{50 \cdot 800}{{(\cos (35))}^{2}}

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Load of Inclined Plane given Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P t = \frac{50MPa \cdot 800mm²}{{(\cos (35°))}^{2}}

Next Step Convert Units

∴

P t = \frac{5E+7Pa \cdot 0.0008m²}{{(\cos (0.6109rad))}^{2}}

Next Step Prepare to Evaluate

∴

P t = \frac{5E+7 \cdot 0.0008}{{(\cos (0.6109))}^{2}}

Next Step Evaluate

∴

P t = 59611.6238626185N

Next Step Convert to Output's Unit

∴

P t = 59.6116238626185kN

LAST Step Rounding Answer

∴

P t = 59.6116kN

Load of Inclined Plane given Stress Formula Elements

Variables

Functions

Tensile load

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

Symbol: P_t

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tensile load

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

Area of inclined plane

Area of inclined plane is the cross sectional area of the body.

Symbol: A_i

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of inclined plane

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

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 Analysis of Stresses category

Go Stress on Inclined Plane

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

Go Shear Stress on Inclined Plane

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

Go Maximum Principal Stress

σ max = \frac{σ x + σ y}{2} + \sqrt{{(\frac{σ x - σ y}{2})}^{2} + {ζ xy}^{2}}

Go Minimum Principal Stress

σ min = \frac{σ x + σ y}{2} - \sqrt{{(\frac{σ x - σ y}{2})}^{2} + {ζ xy}^{2}}

How to Evaluate Load of Inclined Plane given Stress?

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

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

FAQs on Load of Inclined Plane given Stress

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

The formula of Load of Inclined Plane given Stress is expressed as Tensile load = (Stress on inclined plane*Area of inclined plane)/(cos(Theta))^2. Here is an example- 0.059612 = (50000000*0.0008)/(cos(0.610865238197901))^2.

How to calculate Load of Inclined Plane given Stress?

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

Can the Load of Inclined Plane given Stress be negative?

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

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

Load of Inclined Plane given Stress is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Load of Inclined Plane given Stress can be measured.

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Load of Inclined Plane given Stress Formula

Load of Inclined Plane given Stress Example

Load of Inclined Plane given Stress Solution

Load of Inclined Plane given Stress Formula Elements

Other formulas in Analysis of Stresses category

How to Evaluate Load of Inclined Plane given Stress?

FAQs on Load of Inclined Plane given Stress

Variable Name