A steel I-beam with a cross-sectional area as shown has its lower and upper surfaces maintained at..

A steel I-beam with a cross-sectional area
as shown has its lower and upper surfaces maintained at 700 and 370 K,
respectively.

a. Assuming a negligible temperature change
through both flanges, develop an expression for the temperature variation in
the web as a function of the distance from the upper flange.

b. Plot the temperature profile in the web
if the convective heat-transfer coefficient between the steel surface and the
surrounding air is 57 W/m2K. The air
temperature is 300 K.

c. What is the net heat transfer at the
upper and lower ends of the web?

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