Problem $7\mathrm{.}4$ Part C

Determine the in$-$plane contact stress in the ball and the ball cup along the $y-$axis.

Express your answer to three significant figures and include the appropriate units.

${}_{y_{\text{m}\text{a}\text{x}}}=$

Part D

Determine the maximum shear stress in the ball and the ball cup.

Express your answer to three significant figures and include the appropriate units.

The sketch of the trailer hitch is shown in the $($Figure $1).$ There

are some loads applied to it as shown in the $($Figure $2).$ The

tongue weight of $980$ N acts downward and the pull force of $6405$

N acts horizontally. The steel ball is $2-$in dia and the ill$-$fitting

steel ball cup$($not shown$)$ that surrounds it has an internal

spherical surface $10\%$ larger in diameter than the ball. Assume

the $z-$axis is perpendicular to the contact surface and the

$x-$axis is in the plane of the two forces applied. Assume there is

no friction between the ball and the ball cup.

Figure

$1$ of $2$

Part A

Determine the axial contact stress in the ball and the ball cup.

Express your answer to three significant figures and include the appropriate units.

Request Answer

Part B

Determine the in$-$plane contact stress in the ball and the ball cup along the $x-$axis.

Express your answer to three significant figures and include the appropriate units.

${}_{x_{\text{m}\text{a}\text{x}}}=$

Request Answer

Part C$-$ Determine the in$-$plane contact stress in the ball and the ball cup along the y

$-$axis.

Part D$.$ Determine the maximum shear stress in the ball and the ball cup.