If the shear modulus of a material is 80 GPa, what is the ratio of shear stress

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Question: If the shear modulus of a material is 80 GPa, what is the ratio of shear stress to shear strain? (2021)

Options:

Correct Answer: 80 GPa

Exam Year: 2021

Solution:

Shear modulus (G) = Shear stress / Shear strain, thus it is 80 GPa.

If the shear modulus of a material is 80 GPa, what is the ratio of shear stress to shear strain? (2021)

If the shear modulus of a material is 80 GPa, what is the ratio of shear stress to shear strain? (2021)

Step 1: Understand that shear modulus (G) is a measure of how a material deforms under shear stress.
Step 2: Know the formula for shear modulus: G = Shear stress / Shear strain.
Step 3: Rearrange the formula to find the ratio of shear stress to shear strain: Shear stress = G * Shear strain.
Step 4: Since the shear modulus (G) is given as 80 GPa, this means that for every unit of shear strain, the shear stress is 80 GPa.
Step 5: Conclude that the ratio of shear stress to shear strain is 80 GPa.

Shear Modulus – The shear modulus (G) is a measure of a material's ability to resist shear deformation, defined as the ratio of shear stress to shear strain.