The A 36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t (kx 2 ) N m m, where x is in meters If a torque of T 50 N m is applied to the bolt head, determine the constant k and the amount of twist in the 50 mm length of the shank As...

The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank

Question:

The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t = (kx²) N ˆ™ m/m, where x is in meters. If a torque of T = 50 N ˆ™ m is applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of the shank. Assume the shank has a constant radius of 4 mm.

T = 50 N-m 50 mm