Answer to Question #193694 in Mechanical Engineering for Nimesh Chathuranga

Question #193694

The roofing design consists of a retractable roof where the roof is opened using a shaft that is

connected to a motor. The motor of 1hp transmits power to a rotor at 1200rev/min. Neglecting any

transmission losses, determine the maximum shear stress in the shaft due to the same applied

torque, if the maximum shear stress in the shaft is limited to 2MPa. The external diameter of the

shaft is 0.05m and a wall thickness of 0.005m What will be the resulting angle of twist of the shaft,

due to the applied torque, over a length of 2.5m, given that the rigidity modulus, G=70GPa.

(1hp=745.7W)


1
Expert's answer
2021-06-01T03:47:27-0400

Given,

power of the motor = 1 hp

Rotor speed (f) = 1200 rev/ min = 20 rev/sec

Maximum shear stress = ?

Modulus of rigidity (G)=70GPa.

Length of the shaft

Let the torque is represented as T

Now, substituting the values,


N-m

Applying the torsion equation,



Now, substituting the values,



Now again,

Substituting the values,

Now, substituting the values,


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