Reference no: EM132401411

Problem 1. A moment M is applied to a beam of the cross section. The moments of inertia of the section around axes y and z are I_y = 2.22*10-⁴ m⁴, and I_z = 1.1010^-4 m4. The joint moment of inertia I_yz can be calculated from the section dimension. a) Determine the bending normal stresses at point A; b) Determine the angle between the neutral axis and the z axis.

Problem 2. Calculate the tangential stresses at points A and B using Winkler's theory.

Problem 3. The following thin-walled sections are subjected to a torque T. Calculate the maximum shear stress and angle of twist per unit length of these two sections, and discuss the results. The shear modulus of elasticity is G.

Problem 4. The steel shaft has a tubular cross section, with inner radius r₁ and outer radius r₀,. The steel is taken to be an elastoplastic material with a yield shear stress τ_yp.

a) Calculate the yield torque Tyr and ultimate torque ; b) Calculate the shape (actor if r_o = 4r₁.