Question #123740
Two steel bars, 2.0m long each are used to construct a rail line. maximum temperature change is 450C. what would be the safe that must be between the bars
1
Expert's answer
2020-06-25T09:35:37-0400

The linear expansion of the steel is given by:


ΔL=αLLΔT\Delta L =\alpha_L L\Delta T

where αL=11106K1\alpha_L = 11\cdot 10^{-6}K^{-1} is the coefficient of linear thermal expansion (see https://en.wikipedia.org/wiki/Thermal_expansion#Thermal_expansion_coefficients_for_various_materials), L=2mL = 2m is the length of the bars and ΔT=45K\Delta T = 45K is the temperature change.

Thus, the maximum additional length can be:

ΔL=11106245=0.99mm\Delta L = 11\cdot 10^{-6}\cdot 2\cdot 45 = 0.99mm

Answer. The bars should be 0.99 mm appart.


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