Arectangular column of length l and cross-section 2 cm x 4 cm is cemented into the ground at one end. a weight on top applies an axial force f. for this column to perform its function, it must not buckle, so buckling is considered one type of failure in this case. plot the force fcrit required to cause the column to fail, as a function of l. assume e = 10 gpa, uss = 10 mpa, uts -20 mpa, and ucs 40 mpa. hints: consider failure due to both buckling and crushing, and don't forget your stress analysis.

1in2 processor chip can be modelled as an isothermal plane wall of silicon, isothermal on both sides. the power input to the bottom of the plane wall, or the processing power of the chip, often called the thermal design power (tdp), is 100w. assume the periphery is adiabatic. the silicon is 400 microns thick. the temperature at the junction, or in this case on the bottom of the isothermal plane wall, is 85°c. what is the top surface temperature, assuming that the only mode of heat transfer is conduction