Discover ratio of the torsional strengths, Mechanical Engineering

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Discover ratio of the torsional strengths:

A hollow shaft of inner diameter is 1/2 × the outer diameter & a solid shaft of diameter is the external diameter of the hollow shaft. Discover ratio of the torsional strengths. Both the shafts are made with alike material.

Solution

Hollow Shaft

d i  = do /2

1609_Discover ratio of the torsional strengths.png

R = do /2

Solid Shaft

890_Discover ratio of the torsional strengths1.png

R = do / 2

T =τ . (J/ R)

TH  =τ   JH/RH

TS  =τ   JS/RS

1763_Discover ratio of the torsional strengths2.png

=15/16


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