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Question

For a key to be equally strong in shear and crushing the width of the key(assuming allowable crushing stress equal to twice of shear stress) should be

एक कुंजी के कतरनी में समान रूप से मजबूत होने और कुचलने के लिए कुंजी की चौड़ाई (कतरनी तनाव के दोगुने के बराबर स्वीकार्य कुचलने वाले तनाव को मानते हुए) होनी चाहिए

A.

2.5 times its thickness

B.

2 times its thickness

C.

1.5 times its thickness

D.

Equal to its thickness

Answer ( Option D)

Equal to its thickness

Solution

Given :

          … (i)

 

We know that,

T = Torque transmitted

d = Diameter of shaft

b = Width

l = Length of key

h = Thickness

Now, putting values in eqn. (i)

i.e. the width of the key is equal to its thickness.

Hence, the correct option is (D).

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