Shear Modulus Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖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.ⓘ Shear Strain [𝜂]			+10% -10%

✖Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.ⓘ Shear Modulus [G_pa]

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Formula

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Shear Modulus

Formula

`"G"_{"pa"} = "𝜏"/"𝜂"`

Example

`"34.85714Pa"="61Pa"/"1.75"`

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Shear Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Modulus = Shear Stress/Shear Strain
G_pa = 𝜏/𝜂
This formula uses 3 Variables

Variables Used

Shear Modulus - (Measured in Pascal) - Shear Modulus in Pa 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

G_pa = 𝜏/𝜂 --> 61/1.75

Evaluating ... ...

G_pa = 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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< 21 Stress and Strain Calculators

Normal Stress 1

Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Normal Stress 2

Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Elongation Circular Tapered Bar

Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Total Angle of Twist

Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Equivalent Bending Moment

Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Deflection of Fixed Beam with Uniformly Distributed Load

Go Deflection of Beam = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)

Deflection of Fixed Beam with Load at Center

Go Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)

Elongation of Prismatic Bar due to its Own Weight

Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Axial Elongation of Prismatic Bar due to External Load

Go Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Hooke's Law

Go Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)

Equivalent Torsional Moment

Go Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Rankine's Formula for Columns

Go Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)

Slenderness Ratio

Go Slenderness Ratio = Effective Length/Least Radius of Gyration

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Torque on Shaft

Go Torque Exerted on Shaft = Force*Shaft Diameter/2

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Shear Modulus

Go Shear Modulus = Shear Stress/Shear Strain

Bulk Modulus given Bulk Stress and Strain

Go Bulk Modulus = Bulk Stress/Bulk Strain

Young's Modulus

Go Young's Modulus = Stress/Strain

Elastic Modulus

Go Young's Modulus = Stress/Strain

Shear Modulus Formula

Shear Modulus = Shear Stress/Shear Strain
G_pa = 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 is the ratio of shear stress to shear strain. Shear Modulus is denoted by G_pa 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 -> 53.2 = 61/1.75.

FAQ

What is Shear Modulus?

The Shear Modulus is the ratio of shear stress to shear strain and is represented as G_pa = 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 is the ratio of shear stress to shear strain 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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