Analysis of circular shaft subjected to Torsion

analysis of shaft in torsion

1. Torsion of circular shaft Analysis of circular shaft subjected to Torsion

2. Analysis of circular shaft subjected to Torsion The shaft is considered to be in pure torsion if it is subject to two opposing turning moments. This causes the shaft to shear off at every perpendicular cross-section. This moment or torsion will bend the circular shafts without affecting the shaft's cross- section.

3. Assumption in the theory of pure torsion The material is homogeneous and isotropic Hook's law is obeyed by the material. The shaft is circular in section. The cross-section of the shaft remains uniform throughout. The shaft is subjected to pure torque only. The shaft is not subjected to any initial torque. The transverse sections which were plane before application of torque remain plane even after application of torque.

4. Maximum Torsion transmitted by solid circular shaft

5. Maximum Torsion transmitted by hollow circular shaft

6. Power transmitted by shaft

7. Problem Find the power transmitted by a shaft 50mm in diameter at 2.5rev/sec if the max permissible shear stress is 80N/mm2?

8. Problem A solid shaft 80mm in diameter transmit 80KN ot 180rev/min. Calculate the max shear induced & the angle of twist in degree for a length of 8m consider G = 80000N/mm2

9. Problem A solid shaft has to transmit 60KW at 10/3 hz . The max torque transmitted in each revolution exceeds the mean by 30%. If the shear stress is not to exceed 80N/mm2. find a suitable diameter for the shaft?

10. Shaft in series When two shaft are connected so as to remain continuous lengthwise they are said to be in series

11. Shaft in parallel When two shaft are connected so as to remain surrounded in two shaft are said to be in parallel

12. Problem A solid steel shaft 50mm in diameter is fixed rigidly & concentrically inside a bronze sleeve 75mm external diameter. Find the angle of twist in a 1.5m length of the composite shaft under the action of a torque of 8Nm modulus of rigidity of steel is 8x10 4 N/mm2 & that of bronze is 4x10 4 N/mm2?