Question

The width of expansion joint gap is 2.5 cm in a cement concrete pavement. The spacing between expansion joint for a maximum rise in temperature of ${25}^{\circ }$C is (assuming coefficient of thermal expansion of concrete as $10\times {10}^{-6}per{}^{\circ }C)$

Answer 1

Filler has the original thickness of '$\delta$'. But due to expansion of slab, it gets compressed to max of $\frac{{}^{\prime }{\delta }^{\prime }}{2}$

$L\alpha \Delta t=\frac{\delta }{2}$
$L\times 10\times {10}^{-6}\times 25=\frac{2.5\times {10}^{-2}}{2}$
$L=50m$