Structural Analysis

Problem $3$a $(50\%)$ Deflection for ABET outcome $(1)$: El is constant for all members. Consider bending deformations only. Calculate the vertical displacement at $C,Y_C$ in the following structure using the virtual work $($V$-$W$)$ method. $($hint: length of the beam is $2L)$

$(1)(10\%)$ Draw Mp structure and $(5\%)$ draw M$/$EI presenting a peak value

$(2)(10\%)$ Draw $M_Q$ structure and $(($:$5\%\}$ draw M$/$EI presenting a peak value

$(3)(15\%)$ Provide an equation for $Yc$ from the product table and $(15\%)$ provide the final value $($hint: length of the beam is $2L)$