The top of a 12 in. I-beam is maintained at a temperature of 500?F, while the bottom is at 200?F. The thickness of the web is 1/2 in. Air at 500?F is blowing along the side of the beam so that h = 7 Btu/(h ft2 ?F). The thermal conductivity of the steel may be assumed constant and equal to 25 Btu/(h ft ?F). Find the temperature distribution along the web from top to bottom and plot the results.GIVENA steel 12 in. I-beamTemperature of the top (TL) = 500?FTemperature of the bottom (Ts) = 200?FThickness of the web (t) = 0.5 in.Air temperature (T??) = 500?FHeat transfer coefficient ( hc ) = 7 Btu/(h ft2 ?F)Thermal conductivity of the steel (k) = 25 Btu/(h ft ?F)ASSUMPTIONSThe thermal conductivity of the steel is uniformThe beam has reached steady state conditionsOne dimensional through the webThe beam is very long compared to the webthickness

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T- 500°F t-0.5 hn. L- 12 In. T-- 500°F T.- 200°F