In a cement concrete pavement- the width of expansion joint is 20mm- The slab is laid at a temperature of 25-C- and the maximum temperature in summer is 60-C- If the coefficient of thermal expansion of concrete is 10 - 10-6-C- and the joint filler can compress to a maximum of 40- the spacing of expansion joints should be

Since, the joint filler can compress to a maximum of 40 Δ L = L α nbsp; (T_2 T_1) 12 × 10^ 3 = L × 10 × 10^ 6× (60 25) L = 34.28 m ...

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Byju's Answer

Standard VIII

Physics

Types of Expansion in Solids

In a cement c...

Question

In a cement concrete pavement, the width of expansion joint is 20mm. The slab is laid at a temperature of $25^{\circ} C$ , and the maximum temperature in summer is $60^{\circ} C$ . If the coefficient of thermal expansion of concrete is $10 \times 10^{- 6} /^{\circ} C$ , and the joint filler can compress to a maximum of $40 %$ , the spacing of expansion joints should be

26.23 m

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22.85 m

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35.7 m

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34.28 m

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Solution

The correct option is D 34.28 m
Since, the joint filler can compress to a maximum of 40%, the expansion allowed in concrete slab is 60% of the width of expansion joint $= 0.6 \times 20 = 12 m m$

$Δ L = L α (T_{2} - T_{1})$

$12 \times 10^{- 3} = L \times 10 \times 10^{- 6} \times (60 - 25)$

$L = 34.28 m$

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The correct option is D 34.28 mSince, the joint filler can compress to a maximum of 40%, the expansion allowed in concrete slab is 60% of the width of expansion joint =0.6×20=12 mm ΔL=L α (T2−T1) 12×10−3=L×10×10−6×(60−25) L=34.28 m