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A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12  10–6 (°C)–1 , how much spacing (in cm) is needed to allow for expansion during an extreme temperature change of 150°F?

Respuesta :

the change in temperature is simply 50 / (9/5) = 27.777. We just throw out the 32 from the formula

fichoh

Using the concept of linear expansivity, the spacing required to allow for expansion during extreme temperature change ls 0.5cm

Using the relation :

  • △L = αL△T
  • α = Coefficient of expansion = 0.0000012
  • L = original length = 50m = 50 × 100 = 5000 cm
  • △T = 150 ÷ (9/5) = 83.333°C
  • △L = change in length

Substituting the values into the equation :

△L = αL△T

△L = 0.0000012 × 5000 × 83.333

△L = 0.499998 cm

Therefore, the required spacing that would allow for expansion during extreme temperature change of 150°F is 0.5 cm

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