Determine the percentage savings in the material, Mechanical Engineering

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Determine the percentage savings in the material:

A hollow shaft containing an inside diameter 0.5 times the outer diameter is to replace the solid shaft of the similar material transmitting the similar power at the similar speed. Determine the percentage savings in the material.

Solution

di = 0.5 do

297_Determine the percentage savings in the material.png

PH = PS

NH = NS

∴          TH = TS

 (τmax ) H = (τmax )S

 (Z P ) H   = (Z P )S          

R = do /2

1891_Determine the percentage savings in the material1.png

 (Z P )Solid  =  (π /16 )d3

1738_Determine the percentage savings in the material2.png

D = 0.62 do

2073_Determine the percentage savings in the material3.png

% saving in material

= % reduction in area

= (AH - AS / AH )× 100

= (0.75 - 0.38 /0.75 )× 100

= 49.3%


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