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Byju's Answer

Standard XII

Physics

Poisson's Effect

Two strips of...

Question

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What is the maximum tension that can be exerted by the riveted 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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Solution

Diameter of the metal strip, d = 6.0 mm = 6.0 × 10^–3 m

Maximum shearing stress = 6.9 × 10⁷ Pa

Maximum force = Maximum stress × Area

= 6.9 × 10⁷ × π × (r)²

= 6.9 × 10⁷ × π × (3 ×10^–3)²

= 1949.94 N

Each rivet carries one quarter of the load.

∴ Maximum tension on each rivet = 4 × 1949.94 = 7799.76 N

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Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What is the maximum tension that can be exerted by the riveted 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.

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What is the maximum tension that can be exerted by the riveted 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.