Question

A steel beam 12.0m sits next to a concrete wall when the temperature is 20.0°C. A gap must be left between the beam and the concrete wall for expansion purposes. If the temperature rises to 45.0°C, how large must the gap be if the steel beam just touches the concrete wall?

Answer 1

3.6 × 10^-3 m large gap be if the steel beam just touches the concrete wall

It is given that length of steel beam, l = 12m

initial temperature, T₁ = 20°C

final temperature, T₂ = 45°C

we know, linear thermal expansion of steel, α = 12 × 10^-6/°C

using formula, ∆l = lα∆T

= 12m × 12 × 10^-6/°C × (45°C - 20°C)

= 3600 × 10^-6 m

= 3.6 × 10^-3 m

Therefore, 3.6 × 10^-3 m large gap be if the steel beam just touches the concrete wall

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Answer 2

Answer:

Explanation:

using formula, ∆l = lα∆T

= 12m × 12 × 10^-6/°C × (45°C - 20°C)

= 3600 × 10^-6 m

= 3.6 × 10^-3 m