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Q.

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6 mm. Assume that each rivet is to carry one quarter of the load. If the shearing stress on the river is not to exceed 6.9 × 107  Pa, the maximum tension that can be exerted by the riveted strip is

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a

2 × 103 N

b

3.9 × 103 N

c

7.8 × 103 N

d

15.6 × 103 N

answer is C.

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Detailed Solution

Radius of a rivetr = 62mm = 3 mm = 3 ×10-3 mMaximum stress = 6.9 × 107 PaMaximum load on a rivet      = Maximum stress ×Area of cross-section      = 6.9×107×π(3×10-3)2       = 1950 NMaximum tension that can be exerted by rivet strip      = 4×1950 N = 7800 N = 7.8 × 103N
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Two strips of metal are riveted together at their ends by four rivets, each of diameter 6 mm. Assume that each rivet is to carry one quarter of the load. If the shearing stress on the river is not to exceed 6.9 × 107  Pa, the maximum tension that can be exerted by the riveted strip is