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Area of Inclined Plane given Stress Calculator

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Stress Strain Stress and Strain

✖Tensile load is a load that is applied to a body longitudinally.ⓘ Tensile Load [P_t]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖Stress on inclined plane is state of stress at points located on inclined sections or planes under axial loading.ⓘ Stress on Inclined Plane [σ_i]			+10% -10%

✖Area of Inclined Plane given Stress is the effective surface area of a plane that is tilted or inclined at an angle relative to the horizontal.ⓘ Area of Inclined Plane given Stress [a_i]

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Area of Inclined Plane given Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane
a_i = (P_t*(cos(θ))^2)/σ_i
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Area of Inclined Plane given Stress - (Measured in Square Meter) - Area of Inclined Plane given Stress is the effective surface area of a plane that is tilted or inclined at an angle relative to the horizontal.
Tensile Load - (Measured in Newton) - Tensile load is a load that is applied to a body longitudinally.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Stress on Inclined Plane - (Measured in Pascal) - Stress on inclined plane is state of stress at points located on inclined sections or planes under axial loading.

STEP 1: Convert Input(s) to Base Unit

Tensile Load: 59611 Newton --> 59611 Newton No Conversion Required
Theta: 35 Degree --> 0.610865238197901 Radian (Check conversion here)
Stress on Inclined Plane: 50 Megapascal --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_i = (P_t*(cos(θ))^2)/σ_i --> (59611*(cos(0.610865238197901))^2)/50000000

Evaluating ... ...

a_i = 0.000799991627637993

STEP 3: Convert Result to Output's Unit

0.000799991627637993 Square Meter -->799.991627637993 Square Millimeter (Check conversion here)

FINAL ANSWER

799.991627637993 ≈ 799.9916 Square Millimeter <-- Area of Inclined Plane given Stress

(Calculation completed in 00.020 seconds)

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Dayanada Sagar college of Engineering (DSCE), banglore

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< Stress Calculators

Beam Shear Stress

Go Beam Shear Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Bending Stress

Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross Sectional Area

Direct Stress

Go Direct Stress = Axial Thrust/Cross Sectional Area

Area of Inclined Plane given Stress Formula

Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane
a_i = (P_t*(cos(θ))^2)/σ_i

Importance of Calculating Stress on Inclined Plane

It is necessary to identify the location and direction of the highest stress for proper design as it can lead to the failure of a particular member.

How to Calculate Area of Inclined Plane given Stress?

Area of Inclined Plane given Stress calculator uses Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane to calculate the Area of Inclined Plane given Stress, 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 given Stress is denoted by a_i symbol.

How to calculate Area of Inclined Plane given Stress using this online calculator? To use this online calculator 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. Here is how the Area of Inclined Plane given Stress calculation can be explained with given input values -> 805212.1 = (59611*(cos(0.610865238197901))^2)/50000000.

FAQ

What is Area of Inclined Plane given Stress?

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 and is represented as a_i = (P_t*(cos(θ))^2)/σ_i or Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane. Tensile load is a load that is applied to a body longitudinally, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Stress on inclined plane is state of stress at points located on inclined sections or planes under axial loading.

How to calculate Area of Inclined Plane given Stress?

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 is calculated using Area of Inclined Plane given Stress = (Tensile Load*(cos(Theta))^2)/Stress on Inclined Plane. To calculate Area of Inclined Plane given Stress, you need Tensile Load (P_t), Theta (θ) & Stress on Inclined Plane (σ_i). With our tool, you need to enter the respective value for Tensile Load, Theta & Stress on Inclined Plane and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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