Two ropes are used to hoist a 560 lb engine/transmission assembly as shown. The rope is anchored at C around the center part of the pin shown, causing the pin to experience a state of double shear. There is a frictionless pulley at A. The normal stress in the rope must not be allowed to exceed 15 ksi, and the shearing stress in the pin must not exceed 25 ksi. When the hoist is in the position given by:
a = 45 in b = 11 ft c = 18 ft
find the following:
(a & b) The forces carried in ropes AB and BC (c & d) The necessary diameters of ropes AB and BC (e) The necessary diameter of the pin at C
(a) =
(b) =
(c) =
(d) =
(e) =
be sure to include units with your answers
You can earn partial credit on this problem.