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)/Acs
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)/Acs --> (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)

Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
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15 Stress Calculators

Stress due to Impact Loading
Go Stress due to Loading = Load*(1+sqrt(1+(2*Cross sectional area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross sectional area
Thermal Stress in Tapered Bar
Go Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)
Beam Shear Stress
Go Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
Shearing Stress
Go Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
Shear Stress in Double Parallel Fillet Weld
Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Thermal Stress
Go Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature
Bending Stress
Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia
Torsional Shear Stress
Go Shearing Stress = (Torque*Radius of Shaft)/Polar Moment of Inertia
Shear Stress of Circular Beam
Go Stress on Body = (4*Shearing Force)/(3*Cross sectional area)
Stress due to Gradual Loading
Go Stress due to Gradual Loading = Force/Cross sectional area
Maximum Shearing Stress
Go Stress on Body = (1.5*Shearing Force)/Cross sectional area
Shear Stress
Go Shearing Stress = Tangential Force/Cross sectional area
Bulk Stress
Go Bulk Stress = Normal Inward Force/Cross sectional area
Direct Stress
Go Direct Stress = Axial Thrust/Cross sectional area
Stress due to Sudden Loading
Go Stress on Body = 2*Force/Cross sectional area

Maximum Shearing Stress Formula

Stress on Body = (1.5*Shearing Force)/Cross sectional area
σ1 = (1.5*V)/Acs

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 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 (Acs) 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 maximum concentrated shear force in a small area and is represented as σ1 = (1.5*V)/Acs 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 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 (Acs). 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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