Problem $2$

Compute by hand calculation the cross section properties for the U$-$shape sections shown in Figure $2$

considering $H=2,000mm,$ the Young's modulus $E$ for material $1,E_1=48,300$MPa, the normal$-$

ization ratio $n=\frac{E_2}{E_1}=0\mathrm{.}6,$ between material $2$ and $1,$ and a material density $=2,500k\frac{g}{m^3}.$

Also do:

With the developed spreadsheet for the analysis of the cross section properties analyze the

sections shown in Figure $2$ by representing the sloped portion of the cross section through a

set of staggered rectangles. Obtain the properties of the cross section for a number of staggered

rectangles on each side of the cross section equal to $2,5$ and $8.$ Compare the values from the

spreadsheet with those obtained from the hand calculations and report the percentage error

for each discretization case $,$ and $8$