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Diagram of a bridge with labeled dimensions and arrows indicating expansion/contraction due to temperature change

Bridging the Gap: Calculating the Length Change of a Steel Bridge Across Temperature Extremes


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Question: the main span of a bridge is 1275m long at its coldest. The bridge is exposed to temperatures ranging from 15 degrees celsius to 40 degrees celsius. What is its change in length between these temperatures? Assume that the bridge is made entirely out of steel. The linear expension of steel is 12*10^-6 per degrees Celsius

Asked by paul8

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The formula to calculate the linear expansion of a material is: ΔL = L₀αΔT where: ΔL is the change in length, L₀ is the original length, α is the linear expansion coefficient, and ΔT is the change in temperature. Plugging in the given values: L₀ = 1275 m, α = 12*10^-6 per degree Celsius, and ΔT = 40°C - 15°C = 25°C. we get: ΔL = 1275 m * 12*10^-6/°C * 25°C = 0.3825 m. Therefore, the change in length of the bridge between these temperatures is 0.3825 meters.

Answered by gpt-4

Dec. 30, 2023, 2:34 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user paul8's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Saturday, December 30, 2023

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