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Maximum Shearing Stress Calculator

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✖The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.ⓘ Shearing Force [V]			+10% -10%
✖Cross sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area [A_cs]			+10% -10%

✖The Stress on Body is defined as the force per unit area which causes deformation in the body which is measured in terms of strain.ⓘ Maximum Shearing Stress [σ₁]

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Maximum Shearing Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress on Body = (1.5*Shearing Force)/Cross Sectional Area
σ₁ = (1.5*V)/A_cs
This formula uses 3 Variables

Variables Used

Stress on Body - (Measured in Pascal) - The Stress on Body is defined as the force per unit area which causes deformation in the body which is measured in terms of strain.
Shearing Force - (Measured in Newton) - The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.
Cross Sectional Area - (Measured in Square Meter) - Cross sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Shearing Force: 42 Newton --> 42 Newton No Conversion Required
Cross Sectional Area: 1333.4 Square Millimeter --> 0.0013334 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ₁ = (1.5*V)/A_cs --> (1.5*42)/0.0013334

Evaluating ... ...

σ₁ = 47247.6376181191

STEP 3: Convert Result to Output's Unit

47247.6376181191 Pascal --> No Conversion Required

FINAL ANSWER

47247.6376181191 ≈ 47247.64 Pascal <-- Stress on Body

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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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

Maximum Shearing Stress Formula

Stress on Body = (1.5*Shearing Force)/Cross Sectional Area
σ₁ = (1.5*V)/A_cs

What is Shearing Stress?

When an external force acts on an object, It undergoes deformation. If the direction of the force is parallel to the plane of the object. The deformation will be along that plane. The stress experienced by the object here is shear stress or tangential stress.

It arises when the force vector components which are parallel to the cross-sectional area of the material. In the case of normal/longitudinal stress, The force vectors will be perpendicular to the cross-sectional area on which it acts.

How to Calculate Maximum Shearing Stress?

Maximum Shearing Stress calculator uses Stress on Body = (1.5*Shearing Force)/Cross Sectional Area to calculate the Stress on Body, The Maximum Shearing Stress formula is defined as the measure of the maximum concentrated shear force in a small area. Stress on Body is denoted by σ₁ symbol.

How to calculate Maximum Shearing Stress using this online calculator? To use this online calculator for Maximum Shearing Stress, enter Shearing Force (V) & Cross Sectional Area (A_cs) and hit the calculate button. Here is how the Maximum Shearing Stress calculation can be explained with given input values -> 47247.64 = (1.5*42)/0.0013334.

FAQ

What is Maximum Shearing Stress?

The Maximum Shearing Stress formula is defined as the measure of the maximum concentrated shear force in a small area and is represented as σ₁ = (1.5*V)/A_cs or Stress on Body = (1.5*Shearing Force)/Cross Sectional Area. The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction & Cross sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

How to calculate Maximum Shearing Stress?

The Maximum Shearing Stress formula is defined as the measure of the maximum concentrated shear force in a small area is calculated using Stress on Body = (1.5*Shearing Force)/Cross Sectional Area. To calculate Maximum Shearing Stress, you need Shearing Force (V) & Cross Sectional Area (A_cs). With our tool, you need to enter the respective value for Shearing Force & Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stress on Body?

In this formula, Stress on Body uses Shearing Force & Cross Sectional Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stress on Body = 2*Force/Cross Sectional Area
Stress on Body = (4*Shearing Force)/(3*Cross Sectional Area)

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