Question

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 rivet is not to exceed $6.9 \times 10 ^ { 7 }$Pa, the maximum tension that can be exerted by the riveted strip is

• A. $2 \times 10 ^ { 3 } \mathrm {~N}$
• B. $3.9 \times 10 ^ { 3 } \mathrm {~N}$
• C. $7.8 \times 10 ^ { 3 } \mathrm {~N}$
• D. $15.6 \times 10 ^ { 3 } \mathrm {~N}$

Answer 1

Answer: (C)

$7.8 \times 10 ^ { 3 } \mathrm {~N}$

Answer 2

: Radius of a rivet,

Maximum stress = $6.9 \times 10 ^ { 7 } \mathrm {~Pa}$

Maximum load on a rivet

= Maximum stress × Area of cross-section

= $6.9 \times 10 ^ { 7 } \times \pi \times \left( 3 \times 10 ^ { - 3 } \right) ^ { 2 }$

= 1950 N

Maximum tension that can be exerted by rivet strip

$= 4 \times 1950 \mathrm {~N} = 7800 \mathrm {~N} = 7.8 \times 10 ^ { 3 } \mathrm {~N}$