Strength of Materials

6.3 STRENGTH OF A SOLID CIRCULAR SHAFT

Maximum torque or horse power that can be transmitted by a shaft is referred to as the strength of a shaft.

Let a circular shaft subjected to a torque T be considered and let an elemental ring of area dA be taken (Figure 6.2). Then

 

 

Fig. 6.2 Solid circular shaft.

 

dA = 2πrdr      (6.9)

 

From Equation (6.7), the shear stress at the radius r is given as

 

 

Shear force on the elemental ring = (Shear stress at the radius r) × (Area of the elemental ring)

 

 

Now, the torque (dT) due to this shear ...