Page 1 TORSION OF CIRCULAR SHAFT ? TORQUE OR TURNING MOMENT OR TWISTING MOMENT :- ? In factories and workshops, shafts is used to transmit energy from one end to other end. ? To transmit the energy, a turning force is applied either to the rim of a pulley, keyed to the shafts, or to any other suitable point at some distance from the axis of the shaft. ? The moment of couple acting on the shaft is called torque or turning moment or twisting moment. Page 2 TORSION OF CIRCULAR SHAFT ? TORQUE OR TURNING MOMENT OR TWISTING MOMENT :- ? In factories and workshops, shafts is used to transmit energy from one end to other end. ? To transmit the energy, a turning force is applied either to the rim of a pulley, keyed to the shafts, or to any other suitable point at some distance from the axis of the shaft. ? The moment of couple acting on the shaft is called torque or turning moment or twisting moment. Torque = turning force x diameter of shaft T = F x 2R where : T=Torque F=Turning force S=Radius of the shaft Unit of Torque(T) is N.mm or kN.mm R F F Page 3 TORSION OF CIRCULAR SHAFT ? TORQUE OR TURNING MOMENT OR TWISTING MOMENT :- ? In factories and workshops, shafts is used to transmit energy from one end to other end. ? To transmit the energy, a turning force is applied either to the rim of a pulley, keyed to the shafts, or to any other suitable point at some distance from the axis of the shaft. ? The moment of couple acting on the shaft is called torque or turning moment or twisting moment. Torque = turning force x diameter of shaft T = F x 2R where : T=Torque F=Turning force S=Radius of the shaft Unit of Torque(T) is N.mm or kN.mm R F F ANGLE OF TWIST (?) ? When the shaft is subjected to Torque (T),point A on the surface of the shaft comes to A’ position. The angle AOA’ at the centre of the shaft is called the angle of twist. ? ?AOA’= ? =Angle of twist ? Angle of twist is measured in radians. A’ o A Page 4 TORSION OF CIRCULAR SHAFT ? TORQUE OR TURNING MOMENT OR TWISTING MOMENT :- ? In factories and workshops, shafts is used to transmit energy from one end to other end. ? To transmit the energy, a turning force is applied either to the rim of a pulley, keyed to the shafts, or to any other suitable point at some distance from the axis of the shaft. ? The moment of couple acting on the shaft is called torque or turning moment or twisting moment. Torque = turning force x diameter of shaft T = F x 2R where : T=Torque F=Turning force S=Radius of the shaft Unit of Torque(T) is N.mm or kN.mm R F F ANGLE OF TWIST (?) ? When the shaft is subjected to Torque (T),point A on the surface of the shaft comes to A’ position. The angle AOA’ at the centre of the shaft is called the angle of twist. ? ?AOA’= ? =Angle of twist ? Angle of twist is measured in radians. A’ o A SHEAR STRESS IN SHAFT:(t) ? When a shaft is subjected to equals and opposite end couples, whose axes coincide with the axis of the shaft, the shaft is said to be in pure torsion and at any point in the section of the shaft stress will be induced. ? That stress is called shear stress in shaft. Page 5 TORSION OF CIRCULAR SHAFT ? TORQUE OR TURNING MOMENT OR TWISTING MOMENT :- ? In factories and workshops, shafts is used to transmit energy from one end to other end. ? To transmit the energy, a turning force is applied either to the rim of a pulley, keyed to the shafts, or to any other suitable point at some distance from the axis of the shaft. ? The moment of couple acting on the shaft is called torque or turning moment or twisting moment. Torque = turning force x diameter of shaft T = F x 2R where : T=Torque F=Turning force S=Radius of the shaft Unit of Torque(T) is N.mm or kN.mm R F F ANGLE OF TWIST (?) ? When the shaft is subjected to Torque (T),point A on the surface of the shaft comes to A’ position. The angle AOA’ at the centre of the shaft is called the angle of twist. ? ?AOA’= ? =Angle of twist ? Angle of twist is measured in radians. A’ o A SHEAR STRESS IN SHAFT:(t) ? When a shaft is subjected to equals and opposite end couples, whose axes coincide with the axis of the shaft, the shaft is said to be in pure torsion and at any point in the section of the shaft stress will be induced. ? That stress is called shear stress in shaft. STRENGTH OF SHAFTS Maximum torque or power the shaft can transmit from one pulley to another, is called strength of shaft. (a) For solid circular shafts: Maximum torque (T)is given by : where, D = dia. of the shaft t=shear stress in the shaft 3 16 D T ? ? ? ? ?Read More

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