$4\mathrm{.}11$ A concrete slab has a width of $12$ ft $,$ a thickness of $10$ in $.,$ and a modulus of sulgrade reac$-$

tion of $300$ pei. A $24,000-1b$ axle load with a wheel spacing of $6$ ft is applied at the joint, with

one wheel $6$ in$.$ from the edge, as shown in Figure P$4\mathrm{.}11.$ Determine the maximum bearing

stress between concrete and dowel, assuming $100\%$ load transfer, $0\mathrm{.}25-$in$.$ joint opening.

and $1-$in$.$ dowel bars at $12$ in $.$ on centers. The maximum negative moment is assumed to

oceur at a distance of $1,8l$ from the load, where $l$ is the radius of relative stiffness.

$[$Answer: $3160$ psi $]$

FIGURE P$4\mathrm{.}11$

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