What is the shear modulus of a material if a shear stress of 100 MPa produces a

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Question: What is the shear modulus of a material if a shear stress of 100 MPa produces a shear strain of 0.02? (2022)

Options:

Correct Answer: 5000 MPa

Exam Year: 2022

Solution:

Shear modulus (G) = Shear stress / Shear strain = 100 MPa / 0.02 = 5000 MPa.

What is the shear modulus of a material if a shear stress of 100 MPa produces a shear strain of 0.02? (2022)

What is the shear modulus of a material if a shear stress of 100 MPa produces a shear strain of 0.02? (2022)

Step 1: Understand the formula for shear modulus (G). It is calculated by dividing shear stress by shear strain.
Step 2: Identify the values given in the question. Shear stress is 100 MPa and shear strain is 0.02.
Step 3: Plug the values into the formula: G = Shear stress / Shear strain.
Step 4: Substitute the values: G = 100 MPa / 0.02.
Step 5: Perform the division: 100 MPa divided by 0.02 equals 5000 MPa.
Step 6: Conclude that the shear modulus of the material is 5000 MPa.

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