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Shear Stress on Inclined Plane 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%
✖Area of inclined plane is the effective surface area of a plane that is tilted or inclined at an angle relative to the horizontal.ⓘ Area of Inclined Plane [A_i]			+10% -10%

✖Shear stress on inclined plane is the state of stress at points located on inclined sections or planes under shear loading.ⓘ Shear Stress on Inclined Plane [ζ_i]

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Shear Stress on Inclined Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane
ζ_i = -P_t*sin(θ)*cos(θ)/A_i
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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

Shear Stress on Inclined Plane - (Measured in Pascal) - Shear stress on inclined plane is the state of stress at points located on inclined sections or planes under shear 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 effective surface area of a plane that is tilted or inclined at an angle relative to the horizontal.

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)
Area of Inclined Plane: 800 Square Millimeter --> 0.0008 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ_i = -P_t*sin(θ)*cos(θ)/A_i --> -59611*sin(0.610865238197901)*cos(0.610865238197901)/0.0008

Evaluating ... ...

ζ_i = -35010010.5110401

STEP 3: Convert Result to Output's Unit

-35010010.5110401 Pascal -->-35.0100105110401 Megapascal (Check conversion here)

FINAL ANSWER

-35.0100105110401 ≈ -35.010011 Megapascal <-- Shear Stress on Inclined Plane

(Calculation completed in 00.020 seconds)

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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

Shear Stress on Inclined Plane Formula

Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane
ζ_i = -P_t*sin(θ)*cos(θ)/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 Shear Stress on Inclined Plane?

Shear Stress on Inclined Plane calculator uses Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane to calculate the Shear Stress on Inclined Plane, The Shear stress on inclined plane formula is defined as the measure of the state of stress at points located on inclined sections or planes under shear loading. Shear Stress on Inclined Plane is denoted by ζ_i symbol.

How to calculate Shear Stress on Inclined Plane using this online calculator? To use this online calculator for Shear 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 Shear Stress on Inclined Plane calculation can be explained with given input values -> -3.5E-8 = -59611*sin(0.610865238197901)*cos(0.610865238197901)/0.0008.

FAQ

What is Shear Stress on Inclined Plane?

The Shear stress on inclined plane formula is defined as the measure of the state of stress at points located on inclined sections or planes under shear loading and is represented as ζ_i = -P_t*sin(θ)*cos(θ)/A_i or Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/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 effective surface area of a plane that is tilted or inclined at an angle relative to the horizontal.

How to calculate Shear Stress on Inclined Plane?

The Shear stress on inclined plane formula is defined as the measure of the state of stress at points located on inclined sections or planes under shear loading is calculated using Shear Stress on Inclined Plane = -Tensile Load*sin(Theta)*cos(Theta)/Area of Inclined Plane. To calculate Shear 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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