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Question

A brake band is attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear, compression are 60 and 120 mm2, respectively. The thickness of the plate is 3 mm. The diameter of the rivets needed for the load of 10 kN is __________mm

A
10 mm
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B
9 mm
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C
8 mm
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D
7 mm
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Solution

The correct option is C 8 mm
From shear consideration

4[π4d2τ] = p

4[π4d2×60]=10×103

d = 7.28 = 8mm

From crushing consideration ,

4 dt σc = P

4d x (3) x (120) = 10 x 10^{3}

d = 6.94 = 7 mm

shearing becomes the criterion of desing
d =8 mm.

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