Slove :

Task:

Part $1$: Beam analysis

The timber beam in Figure $1$ is simply supported at points A and E $.$ The cross$-$section of the beam changes from segment AC to CE$,$ as shown below. The Young's modulus of timber may be taken as $12$ GPa $.$ The load, geometry and cross$-$sections of the beam will be instructed to each student in class.

Given:

$P=190kN,H=7\mathrm{.}1m,AB=BC=DE=EF=850,AF=CD=1139,AD=BE=CF=1213,b1=92mm,h1=224mm,$

$b2=62mm,h2=160mm,L=1\mathrm{.}4m,Q=23\mathrm{.}1KN.$

Figure $1$