Problem $2$: Virtual work method $(24$ pts$)$

For the beam shown in Figure $2,$ use the method of virtual work to determine based on El:

a$)$ The vertical displacement at point $\backslash (\backslash$mathrm$\{$D$\}(\backslash$Delta $\backslash$mathrm$\{$D$\})\backslash )$ using integration direct; $(10$ pts$)$

a$)$ The slope at point $\backslash ($ B$(\backslash$theta B$)\backslash )$ using the MOHR table; $(6$ pts$)$

b$)$ The vertical displacement at point $\backslash (\backslash$mathrm$\{$C$\}(\backslash$mathrm$\{$AC$\})\backslash )$ using the table of MOHR. $(8$ pts$)$

El is constant along the beam.