PPT: Torsion

# PPT: Torsion | Strength of Materials (SOM) - Mechanical Engineering PDF Download

``` 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
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
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
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
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 ? ? ? ?
?
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## Strength of Materials (SOM)

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## FAQs on PPT: Torsion - Strength of Materials (SOM) - Mechanical Engineering

 1. What is torsion in mechanics?
Ans. Torsion in mechanics refers to the twisting deformation of an object due to the applied torque or twisting moment. It occurs when one end of the object is fixed while the other end rotates, resulting in a torsional stress and strain within the material.
 2. What are the common causes of torsion in engineering structures?
Ans. Torsion in engineering structures can be caused by various factors such as asymmetrical loading, eccentricity of applied forces, wind or seismic loads, and uneven temperature distribution. These factors can induce twisting forces that lead to torsional stresses in the structure.
 3. How is torsional strength different from torsional stiffness?
Ans. Torsional strength refers to the maximum amount of torque or twisting moment that a material can withstand before failure. On the other hand, torsional stiffness refers to the resistance of a material to undergo torsional deformation. It is a measure of how much the material resists twisting under an applied torque.
 4. What are the symptoms of torsion in human anatomy?
Ans. Torsion in human anatomy can occur in various body parts, such as the testicles, ovaries, or blood vessels. Symptoms may include severe pain, swelling, tenderness, and in some cases, restricted blood flow. Immediate medical attention is required to prevent further complications.
 5. How is torsion calculated in a cylindrical shaft?
Ans. Torsion in a cylindrical shaft can be calculated using the formula T = (π/16) * G * (d^4 / L), where T is the applied torque, G is the shear modulus of the material, d is the diameter of the shaft, and L is the length of the shaft. This formula relates the torque to the material properties and geometrical dimensions of the shaft.

## Strength of Materials (SOM)

37 videos|39 docs|45 tests

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