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1- A shaft is subjected to a torque of 16,000 Nm. If the maximum permissible stress in the material of the shaft is 65 N/mm2, find D) the diameter of the solid shaft ii) ii) the dimension of the hollow circular shaft if the thickness is 10% of the internal diameter. Assume it's not thin-walled. the maximum stress in the shaft if the torque is 12,000 Nm. 2- A hollow circular shaft is of 180 mm internal diameter and thickness 5 mm. Find 3- A solid circular shaft is subjected to a torque of 20,000 Nm. If the maximum permissible shear stress is 50 N/mm² find a suitable minimum diameter of the shaft. 4- A solid circular shaft has a diameter of 80 mm. Find the maximum shear stress and the angle of twist in a length of 2m when the shaft is subjected to a torque of 10 kNm. Given: G = 85 GPa. 5- A hollow circular shaft has an external diameter of 120 mm and the internal diameter is 90 mm. If the stress at a fibre on the inside wall is 36 MPa, due to a torque applied, find: i) this torque, ii) the maximum shear stress ii) the angle of twist per unit length. Given: G = 85 GPa. 6- A solid circular shaft of 25 cm diameter is to be replaced by a hollow shaft, the ratio of the external to internal diameters being 2 to 1. Find the size of the hollow shaft if the maximum shearing stress is to be the same as for the solid shaft.