Question

A steel bridge is built in several segments, each 20 m long. The gap between segments is 4 cm at 18 °C. What is the maximum temperature that the bridge can manage before buckling

Answer 1

Answer:

Our professor said the correct answer is 95°C

Answer 2

The maximum temperature is 172°C.

Explanation:

Given that,

Length = 20 m

Segments = 4 cm

Temperature = 18°C

We need to calculate the maximum temperature

Using formula of change in length

$\Delta L=L\times\alpha\times\Delta T$

$T_{2}-T_{1}=\dfrac{\Delta L}{L\times\alpha}$

Put the value into the formula

$T_{2}=\dfrac{4\times10^{-2}}{20\times13\times10^{-6}}+18$

$T_{2}=153.8+18$

$T_{2}=172^{\circ}C$

Hence, The maximum temperature is 172°C.

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Topic : Maximum temperature

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