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The concrete sections of a certain superhighway are designed to have a length of 25.0m . The sections are poured and cured at 10.0°C . What minimum spacing should the engineer leave between the sections to eliminate buckling if the concrete is to reach a temperature of 50.0°C ?

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asuwafohjames

The minimum spacing the engineer should leave between the sections to eliminate buckling is 0.011 m.

To calculate the minimum space the engineer must leave in other to eliminate bulking, we use the coefficient of linear expansivity of steel.

What is coefficient of linear expansivity?

This can be defined as the increase in length, per unit length, per degree rise in temperature.

To calculate the minimum space, we use the fomula below

Formula:

  • α = ΔL/L₁(t₂-t₁)........... Equation 1

Make L₂ the subject of the equation

  • ΔL = αL₁(t₂-t₁)........... Equation 2

From the question,

Given:

  • L₁ = 25 m
  • t₁ = 10°C
  • t₂ = 50°C
  • α = 11×10⁻⁶ /K ( Cofficient of Linear expansion of steel)

Substitute these values into equation 2

  • ΔL = [11×10⁻⁶×25×(50-10)]
  • ΔL = 0.011 m

Hence, the minimum spacing the engineer should leave between the sections to eliminate buckling is 0.011 m.

Learn more about cofficient of linear expansion here: https://brainly.com/question/24215446

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