Q1 For the composite beam shown in fig. 1. Draw bending stress distribution .if E₁= 20 000 MPa., E22000 MPa. E1 20 000 MPa 20 MM- MATERIAL 1 E2 2000 MPa 10 kN A -4 M B 50 MM MATERIAL 2 100 MM -2 M -200 MM-

The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 25 mm, an inside diameter of 20 mm, and a shear modulus of G1 = 41 GPa. The solid steel core has a diameter of 20 mm and a shear modulus of G2 = 82 GPa. Assume L = 350 mm. The composite shaft is subjected to a torque of T = 910 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. T (1) (2) В

2.33 plz

Problem 2 For the beam shown in the figure A) Draw the shear-force and bending-moment diagrams for the beam shown in the figure. B) For the composite section, aluminium [E = 70 GPa] bonded to a steel [E = 210 GPa], located at the maximum bending moment, determine: (1) the maximum bending stresses in the aluminium and steel bars. (2) the stress in the two materials at the joint where they are bonded together. K4N/M 2m B 10kN/mm 4m 2m D Steel Aluminum 42mm 20 mm 13 mm