Question

A concrete bridge is built of 375-cm-long concrete slabs with an expansion joint between them. The slabs just touch on a 115° F day the hottest day for which the bridge is designed. PartA What is the gap between the slabs when the temperature is O°F? Express your answer with the appropriate units AL- Value Units Submit Provide Feedback

Answer 1

Hi,

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We know that,the linear expansion of the concrete is given by,

$\Delta L=L\alpha (T_{2}-T_{1})$

Where, given that,

Length of the slab,
L-375 cm 3.75 m

Coefficient of linear expansion of concrete, $\alpha=12\times10^{-6}\;K^{-1}$

T, = 115°F . 319.3 K

= 00 F = 255.4 K

$\therefore$ Linear expansion of the concrete slab is given by,

3.75 m × 12 × 10-6 K-1 × (319.3 K-255.4 K) ▲L-La(T2-Tİ)

This expansion is the gap formed when the temperature hit 0^oF.

Δ 0.0028755 mm-2.8755 mm

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