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
ζi = -Pt*sin(θ)*cos(θ)/Ai
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 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
ζi = -Pt*sin(θ)*cos(θ)/Ai --> -60000*sin(0.610865238197901)*cos(0.610865238197901)/0.0008
Evaluating ... ...
ζi = -35238473.2794686
STEP 3: Convert Result to Output's Unit
-35238473.2794686 Pascal -->-35.2384732794686 Megapascal (Check conversion here)
FINAL ANSWER
-35.2384732794686 -35.238473 Megapascal <-- Shear stress on inclined plane
(Calculation completed in 00.004 seconds)

Credits

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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

Shear Stress on Inclined Plane Formula

Shear stress on inclined plane = -Tensile load*sin(Theta)*cos(Theta)/Area of inclined plane
ζi = -Pt*sin(θ)*cos(θ)/Ai

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 state of stress at points located on inclined sections or planes under shear loading. Shear stress on inclined plane is denoted by ζi 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 (Pt), Theta (θ) & Area of inclined plane (Ai) and hit the calculate button. Here is how the Shear Stress on Inclined Plane calculation can be explained with given input values -> -3.5E-5 = -60000*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 state of stress at points located on inclined sections or planes under shear loading and is represented as ζi = -Pt*sin(θ)*cos(θ)/Ai 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 cross sectional area of the body.
How to calculate Shear Stress on Inclined Plane?
The Shear stress on inclined plane formula is defined as 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 (Pt), Theta (θ) & Area of inclined plane (Ai). 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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