Load of Inclined Plane given Stress Calculator

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✖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 [A_i]			+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%

✖Tensile load is a load that is applied to a body longitudinally.ⓘ Load of Inclined Plane given Stress [P_t]

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Formula

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Load of Inclined Plane given Stress

Formula

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

Example

`"59.61162kN"=("50MPa"*"800mm²")/(cos("35°"))^2`

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Load of Inclined Plane given Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Tensile load - (Measured in Newton) - Tensile load is a load that is applied to a body longitudinally.
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.
Area of inclined plane - (Measured in Square Meter) - Area of inclined plane is the cross sectional area of the body.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Stress on inclined plane: 50 Megapascal --> 50000000 Pascal (Check conversion here)
Area of inclined plane: 800 Square Millimeter --> 0.0008 Square Meter (Check conversion here)
Theta: 35 Degree --> 0.610865238197901 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = (σ_i*A_i)/(cos(θ))^2 --> (50000000*0.0008)/(cos(0.610865238197901))^2

Evaluating ... ...

P_t = 59611.6238626185

STEP 3: Convert Result to Output's Unit

59611.6238626185 Newton -->59.6116238626185 Kilonewton (Check conversion here)

FINAL ANSWER

59.6116238626185 ≈ 59.61162 Kilonewton <-- Tensile load

(Calculation completed in 00.020 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

Load of Inclined Plane given Stress Formula

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

Importance of calculating stress on inclined plane

For proper design, it is important to determine the location and direction of maximum stress that can cause failure of a member.

How to Calculate Load of Inclined Plane given Stress?

Load of Inclined Plane given Stress calculator uses Tensile load = (Stress on inclined plane*Area of inclined plane)/(cos(Theta))^2 to calculate 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 calculate Load of Inclined Plane given Stress using this online calculator? To use this online calculator 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. Here is how the Load of Inclined Plane given Stress calculation can be explained with given input values -> 0.059612 = (50000000*0.0008)/(cos(0.610865238197901))^2.

FAQ

What is Load of Inclined Plane given Stress?

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

How to calculate Load of Inclined Plane given Stress?

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