Stress on Inclined Plane 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%
✖Area of inclined plane is the cross sectional area of the body.ⓘ Area of inclined plane [A_i]			+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]

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Formula

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Stress on Inclined Plane

Formula

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

Example

`"50.32576MPa"=("60kN"*(cos("35°"))^2)/"800mm²"`

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Stress on Inclined Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress on inclined plane = (Tensile load*(cos(Theta))^2)/Area of inclined plane
σ_i = (P_t*(cos(θ))^2)/A_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

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.
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.
Area of inclined plane - (Measured in Square Meter) - Area of inclined plane is the cross sectional area of the body.

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)
Area of inclined plane: 800 Square Millimeter --> 0.0008 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_i = (P_t*(cos(θ))^2)/A_i --> (60000*(cos(0.610865238197901))^2)/0.0008

Evaluating ... ...

σ_i = 50325755.3747206

STEP 3: Convert Result to Output's Unit

50325755.3747206 Pascal -->50.3257553747207 Megapascal (Check conversion here)

FINAL ANSWER

50.3257553747207 ≈ 50.32576 Megapascal <-- Stress on inclined plane

(Calculation completed in 00.004 seconds)

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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

Stress on Inclined Plane Formula

Stress on inclined plane = (Tensile load*(cos(Theta))^2)/Area of inclined plane
σ_i = (P_t*(cos(θ))^2)/A_i

Importance of calculating stress on inclined plane

Usually, the failure of a member may be brought about
by a certain magnitude of Stress in a certain direction. For proper design, it is necessary to determine
where and in what direction the largest stress occurs.

How to Calculate Stress on Inclined Plane?

Stress on Inclined Plane calculator uses Stress on inclined plane = (Tensile load*(cos(Theta))^2)/Area of inclined plane to calculate 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 calculate Stress on Inclined Plane using this online calculator? To use this online calculator for Stress on Inclined Plane, enter Tensile load (P_t), Theta (θ) & Area of inclined plane (A_i) and hit the calculate button. Here is how the Stress on Inclined Plane calculation can be explained with given input values -> 5E-5 = (60000*(cos(0.610865238197901))^2)/0.0008.

FAQ

What is 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 and is represented as σ_i = (P_t*(cos(θ))^2)/A_i or Stress on inclined plane = (Tensile load*(cos(Theta))^2)/Area of 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 & Area of inclined plane is the cross sectional area of the body.

How to calculate 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 is calculated using Stress on inclined plane = (Tensile load*(cos(Theta))^2)/Area of inclined plane. To calculate Stress on Inclined Plane, you need Tensile load (P_t), Theta (θ) & Area of inclined plane (A_i). With our tool, you need to enter the respective value for Tensile load, Theta & Area of 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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