Shear Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Modulus = Shear Stress/Shear Strain
Gpa = 𝜏/𝜂
This formula uses 3 Variables
Variables Used
Shear Modulus - (Measured in Pascal) - Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Shear Strain - The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.
STEP 1: Convert Input(s) to Base Unit
Shear Stress: 61 Pascal --> 61 Pascal No Conversion Required
Shear Strain: 1.75 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gpa = 𝜏/𝜂 --> 61/1.75
Evaluating ... ...
Gpa = 34.8571428571429
STEP 3: Convert Result to Output's Unit
34.8571428571429 Pascal --> No Conversion Required
FINAL ANSWER
34.8571428571429 34.85714 Pascal <-- Shear Modulus
(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Stress and Strain Calculators

Elongation Circular Tapered Bar
​ LaTeX ​ Go Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Moment of Inertia for Hollow Circular Shaft
​ LaTeX ​ Go Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
Elongation of Prismatic Bar due to its Own Weight
​ LaTeX ​ Go Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus)
Moment of Inertia about Polar Axis
​ LaTeX ​ Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Shear Modulus Formula

​LaTeX ​Go
Shear Modulus = Shear Stress/Shear Strain
Gpa = 𝜏/𝜂

What is Shear Modulus?

Shear modulus also known as Modulus of rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain.

How to Calculate Shear Modulus?

Shear Modulus calculator uses Shear Modulus = Shear Stress/Shear Strain to calculate the Shear Modulus, The Shear Modulus formula is defined as a measure of the rigidity of a material, describing its tendency to deform under shear stress, which is a crucial property in understanding the behavior of materials under different types of loading, particularly in mechanical engineering and materials science applications. Shear Modulus is denoted by Gpa symbol.

How to calculate Shear Modulus using this online calculator? To use this online calculator for Shear Modulus, enter Shear Stress (𝜏) & Shear Strain (𝜂) and hit the calculate button. Here is how the Shear Modulus calculation can be explained with given input values -> 34.85714 = 61/1.75.

FAQ

What is Shear Modulus?
The Shear Modulus formula is defined as a measure of the rigidity of a material, describing its tendency to deform under shear stress, which is a crucial property in understanding the behavior of materials under different types of loading, particularly in mechanical engineering and materials science applications and is represented as Gpa = 𝜏/𝜂 or Shear Modulus = Shear Stress/Shear Strain. Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.
How to calculate Shear Modulus?
The Shear Modulus formula is defined as a measure of the rigidity of a material, describing its tendency to deform under shear stress, which is a crucial property in understanding the behavior of materials under different types of loading, particularly in mechanical engineering and materials science applications is calculated using Shear Modulus = Shear Stress/Shear Strain. To calculate Shear Modulus, you need Shear Stress (𝜏) & Shear Strain (𝜂). With our tool, you need to enter the respective value for Shear Stress & Shear Strain 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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