The hollow shaft shown is made of a steel that is assumed to be elastoplastic with Ty=145 MPa and G=77.2 GPa. The magnitude T of the torques is slowly increased until the plastic zone first reaches the inner surface of the shaft; the torques are then removed. Determine the permanent angle of twist of the rod. Take L = 5.8 m. 60 mm 25 mm I The permanent angle of twist of the rod is [

A bar made from aluminum (E = 72 GPa) has a diameter of 12 mm. When the bar is subjected to a tensile axial force P, its diameter is decreased by 0.018 mm. Assume the Poisson’s ratio to be 0.33. Determine the value of loads P and its axial deformation. P = ? N δ = ? mm

Part 2,3,4

A steel pipe is subjected to the 16-kN load shown below. Its outside diameter is 140 mm and its thickness is 7 mm. Consider that the yield strength of steel is 240 MPa. Analyze point H ONLY. Due to the pressure in the pipe, there is an 11.25-MPa (T) normal stress along x and a 22.50-MPa (T) normal stress along z of point H. A. Determine the internal forces and moments at the pertinent section through an FBD. B. Determine the stresses experienced by point H. Illustrate using a stress element. C. Determine the FS by MSST at point H D. Determine the von Mises equivalent stress at point H E. Determine the FS by MDET at point H 700 mm 16 KN 1,300 mm