Area of Inclined Plane given Stress Calculator

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✖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 is the cross sectional area of the body.ⓘ Area of Inclined Plane given Stress [A_i]

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Formula

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Area of Inclined Plane given Stress

Formula

`"A"_{"i"} = ("P"_{"t"}*(cos("θ"))^2)/"σ"_{"i"}`

Example

`"805.2121mm²"=("60kN"*(cos("35°"))^2)/"50MPa"`

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Area of Inclined Plane given Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of inclined plane = (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 - (Measured in Square Meter) - Area of inclined plane is the cross sectional area of the body.
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: 60 Kilonewton --> 60000 Newton (Check conversion here)
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 --> (60000*(cos(0.610865238197901))^2)/50000000

Evaluating ... ...

A_i = 0.00080521208599553

STEP 3: Convert Result to Output's Unit

0.00080521208599553 Square Meter -->805.21208599553 Square Millimeter (Check conversion here)

FINAL ANSWER

805.21208599553 ≈ 805.2121 Square Millimeter <-- Area of inclined plane

(Calculation completed in 00.004 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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National Institute Of Technology (NIT), Hamirpur

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< 6 Analysis of Stresses Calculators

Maximum Principal Stress

Go Maximum principal stress = (Normal stress along x direction+Normal stress along y direction)/2+sqrt(((Normal stress along x direction-Normal stress along y direction)/2)^2+Shear stress acting in xy plane^2)

Minimum Principal Stress

Go Minimum principal stress = (Normal stress along x direction+Normal stress along y direction)/2-sqrt(((Normal stress along x direction-Normal stress along y direction)/2)^2+Shear stress acting in xy plane^2)

Shear Stress on Inclined Plane

Go Shear stress on inclined plane = -Tensile load*sin(Theta)*cos(Theta)/Area of inclined plane

Area of Inclined Plane given Stress

Go Area of inclined plane = (Tensile load*(cos(Theta))^2)/Stress on inclined plane

Load of Inclined Plane given Stress

Go Tensile load = (Stress on inclined plane*Area of inclined plane)/(cos(Theta))^2

Stress on Inclined Plane

Go Stress on inclined plane = (Tensile load*(cos(Theta))^2)/Area of inclined plane

Area of Inclined Plane given Stress Formula

Area of inclined plane = (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 = (Tensile load*(cos(Theta))^2)/Stress on inclined plane to calculate 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 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 -> 8.1E+8 = (60000*(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 = (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 = (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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