1. (30 pts) Two forces P = 15 kN and P = 18 kN are applied...

Transcribed Image Text:

1. (30 pts) Two forces P = 15 kN and P = 18 kN are applied as shown to the end A of bar AB, which is welded to a cylindrical member BD of radius c = 20 mm, where end D of BD is fixed. a) Replace the forces P and P2 by an equivalent system of forces and couples applied at the center C of the section containing points H and K. Determine the magnitude of all the equivalent forces and couples, and clearly indicate their directions. b) Knowing that the distance from A to the axis of member BD is a = 50 mm, determine the normal and shearing stresses at point H, and the normal stress at point K. Assume all stresses are in the elastic range of the material. b = 60 mm a = 50 mm H D P = 15 kN P = 18 kN 1. (30 pts) Two forces P = 15 kN and P = 18 kN are applied as shown to the end A of bar AB, which is welded to a cylindrical member BD of radius c = 20 mm, where end D of BD is fixed. a) Replace the forces P and P2 by an equivalent system of forces and couples applied at the center C of the section containing points H and K. Determine the magnitude of all the equivalent forces and couples, and clearly indicate their directions. b) Knowing that the distance from A to the axis of member BD is a = 50 mm, determine the normal and shearing stresses at point H, and the normal stress at point K. Assume all stresses are in the elastic range of the material. b = 60 mm a = 50 mm H D P = 15 kN P = 18 kN