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  1. A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear stress of the material is 140 MPa, assuming a factor of safety of 2, minimum allowable design diameter in mm is
    1. 8
    2. 16
    3. 24
    4. 34
Correct Option: B

Here, T = 50N – m
τallowable = 140 MPa
FOS = 2;

τsafe =
τallowable
= 70 MPa
FOS

We know,
T
τsafe
Zp

Zp =
πd3
16

⇒ d3 =
16 T
π τsafe


= 15.38 mm ≈ 16 mm



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