ii A 100 MPa force is applied to the surface of a material (surface area, 1m^2 ) that exerts a shear across the material. The sample has a thickness of 10 cm and causes the surface to be displaced by 0.1 cm. What is the shear modulus of the material? (3 marks)

Question

ii A 100 MPa force is applied to the surface of a material (surface area, 1m^2 ) that exerts a shear across the material. The sample has a thickness of 10 cm and causes the surface to be displaced by 0.1 cm. What is the shear modulus of the material? (3 marks)

Answer 1

To find the shear modulus of the material, we can use the formula:Shear Modulus (G) = (Shear Stress) / (Shear Strain)Given information:- Applied force (F) = 100 MPa = 100,000,000 Pa- Surface area (A) = 1 m²- Thickness (h) = 10 cm = 0.1 m- Displacement (δ) = 0.1 cm = 0.001 mFirst, let's calculate the shear stress (τ):τ = F / Aτ = 100,000,000 Pa / 1 m²τ = 100,000,000 PaNext, let's calculate the shear strain (γ):γ = δ / hγ = 0.001 m / 0.1 mγ = 0.01Now, we can calculate the shear modulus (G):G = τ / γG = 100,000,000 Pa / 0.01G = 10,000,000,000 PaTherefore, the shear modulus of the material is 10,000,000,000 Pa.

Вопрос

ii A 100 MPa force is applied to the surface of a material (surface area, 1m^2 ) that exerts a shear across the material. The sample has a thickness of 10 cm and causes the surface to be displaced by 0.1 cm. What is the shear modulus of the material? (3 marks)

Решения

Ответ