I have attached an image showing the shear stresses and direction.
Answer:
Resolved shear stress = 5.6MPa
Explanation:
From the diagram attached,
Cos λ = [(0,-1,1)•(0,0,1)]/[(√(0^2 + (-1)^2 + 1^2)) + (√(0^2 + 0^2 + 1^2))]
= 1/(√2 x√1) = 1/√2
Also, Cos Φ = [(1,1,1)•(0,0,1)]/[(√(1^2 + 1^2 + 1^2)) + (√(0^2 + 0^2 + 1^2))]
= 1/(√3 x√1) = 1/√3
So resolved shear stress (τ resolved) = 13.7 x (1/√2) x (1/√3) = 13.7 x (1/√6) = 5.593 or approximately 5.6MPa
