A solid cylindrical rod supports loads such that its maximum bending moment is +2000 Nm. If its diameter is 4 cm, what is its maximum normal stress? Answer: 318.31 MPa

A horizontal aluminum rod 4.8 cm in diameter projects 4.2 cm from a wall. A 1300 kg object is suspended from the end of the rod. The shear modulus of aluminum is 3.0·1010 N/m2. Neglecting the rod's mass, find (a) the shear stress on the rod and (b) the vertical deflection of the end of the rod.

2. A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and t = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and t = 80 MPa. a) What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously. b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.

The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy = 473 MPa, whereas that used for the rectangular cross- section is 0.850y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mm N b h a + N a | d H