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The ball and socket joint at the end of a rocker arm has a hardened-steel spherical surface with a diameter of 10 mm, fitting into a hard-bronze bearing alloy spherical seat with a diameter of 10.2 mm.

What is the maximum contact stress resulting from a load of 1700 N? Express your answer in units of MPa.

Answer :

Final answer:

The maximum contact stress in the ball-and-socket joint is 21.67 MPa.

Explanation:

The maximum contact stress in the ball-and-socket joint can be calculated using the formula:

Maximum contact stress = Load / Area

Given that the load is 1700 N and the diameter of the hardened-steel spherical surface is 10 mm, we can calculate the area using the formula:

Area = π × (radius)²

Substituting the values into the formulas, we get:

Area = π × (5 mm)² = π × 25 mm² = 78.54 mm²

Maximum contact stress = 1700 N / 78.54 mm² = 21.67 MPa

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