Assignment in Torsion

Assignment in Torsion: S.M.2, Unit-2

1.An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in Fig. Using G = 28 GPa, determine the relative angle of twist of gear D relative to gear A.

2.What is the minimum diameter of a solid steel shaft that will not twist through more than 3° in a 6-m length when subjected to a torque of 12 kN·m? What maximum shearing stress is developed? Use modulus of rigidity G = 83 GPa. (T=0.1138 d 4)

3.A solid steel shaft 5 m long is stressed at 80 MPa when twisted through 4°. 

Using G = 83 GPa, compute the shaft diameter. What power can be transmitted by the shaft at 20 Hz? (P=5.19MW answer)

4.A steel propeller shaft is to transmit 4.5 MW at 3 Hz without exceeding a shearing stress of 50 MPa or twisting through more than 1° in a length of 26 diameters. Compute the proper diameter if G = 83 GPa.

(diameter d = 352 mm answer)

5.Determine the maximum torque that can be applied to a hollow circular steel shaft of 100-mm outside diameter and an 80-mm inside diameter without exceeding a shearing stress of 60 MPa or a twist of 0.5 deg/m. 

Use G = 83 GPa. ( torque, T = 4 198.28 N·m answer)

6.A close coiled helical spring is to carry a load of 5000N with a deflection of 50 mm and a maximum shearing stress of 400 N/mm2 . if the number of active turns/coils is 8, and modulus of rigidity G = 83,000 N/mm2 ;Find the following:

(i) wire diameter (ii) mean coil diameter

7.Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns of 20-mm-diameter wire on a mean radius of 90 mm when the spring is supporting a load of 1.5 kN. Use G = 83 GPa.