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For one propeller drive shaft, compute the torsional shear stress when it is transmitting a torque of 1.76 kNm. The shaft is a hollow tube having an outside diameter of 60 mm and an inside diameter of 40 mm. Find the stress at both the outer and inner surfaces.
Solution: Given that
Torque transmitted ‘T’ = 1.76 kNm
Outside diameter of tube D0 = 60 mm
Inside diameter of tube Di = 40 mm
Now, using the torsion equation
T/j = t/r
where J is polar moment of inertia
For hollow shaft
Torsional stress on outer surface is;
t0 = T/J (D0/2) = (1.76 × 1000 × 1000) * (60/2) / p/32 ((60)4 – (40)4)
→ ti = 34.475 N/mm2
Thus, the stresses on outer and inner surfaces are 51.713 N/mm2 and 34.475 N/mm2 respectively.
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