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Q.

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. The maximum tension that can be exerted by the riverted strip if the shearing stress on the rivet is not to exceed 6.9 × 107 Pa. Assume that each rivet is to carry one quarter of the load. 

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a

7800N 

b

8700N
 

c

6800N 

d

7850N

answer is A.

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Detailed Solution

solution

Diameter = 6.0 mm

maximum stress =6.9×107Pa

The radius of the river,

r=62mm=3mm=3×10-3m

Maximum load on a river = Maximum stress × Area of cross-sectionMaximum load on a river=6.9×107×π(3×10-3)2=1950N

Maximum tension a river strip can withstand

Tension=4×1950N=7800N

Hence the correct answer is 7800N.

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