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Two strips of metal are riveted togethe...

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6mm. What is the maximum tension that can be exterted by the riveted strip if the shearing stress on the rivet is not to exceed `6.9 xx 10^(7) Pa`? Assume that each rivet is to carry one quarter of the load .

A

`2xx10^(3)N`

B

`3.9xx10^(3)N`

C

`7.8xx10^(3)N`

D

`15.6xx10^(3)N`

Text Solution

Verified by Experts

The correct Answer is:
C
Radius of a rivet `r= (6)/(2) mm = 3 mm = 3 xx 10^(-3) m` Maximum stress `= 6.9 xx 10^(7) Pa`
Maximum load on a river = Maximum stress `xx` Area of cross-section
`= 6.9 xx 10^(7) xx pi xx (3 xx 10^(-3))^(2) = 1950 N`
`therefore` Maximum tension that can be exerted by rivet strip `= 4 xx 1950 N = 7800 N = 7.8 xx 10^(3)N`
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