Determine the deflection at the free end (B) of a cantilever beam (length $L$) with a point load $P$ at the free end using the Conjugate Beam Method.

Find the deflection at midspan of a simply supported beam (length $L$) with a uniform load $w$.

Determine the maximum deflection of a simply supported beam of length $L$ subjected to a uniform load $w$ over its entire length. Assume constant $EI$.

Determine the deflection at the free end (B) of a cantilever beam (length $L$) with a point load $P$ at the free end using the Moment-Area Method. The beam has a constant flexural rigidity $EI$. The fixed support is at A ($x=0$).

Determine the vertical deflection at joint C of a simple truss using the Virtual Work (Unit Load) Method. The truss has 3 members (a triangle) and rests on a pin at A and a roller at B. Assume all members have length $L = 5\text{ m}$, cross-sectional area $A = 1000\text{ mm}^2$, and modulus of elasticity $E = 200\text{ GPa}$. An actual vertical load of $P = 100\text{ kN}$ is applied at the top joint C. The real internal forces ($N$) are: $N_{AC} = -100\text{ kN}$, $N_{BC} = -100\text{ kN}$, $N_{AB} = +50\text{ kN}$.

Determine the horizontal displacement at the roller support B of a simple rigid portal frame using the Virtual Work Method. The frame has columns AB and CD ($h=4\text{ m}$) and a beam BC ($L=5\text{ m}$). A horizontal load $P=50\text{ kN}$ is applied at the top joint C (pushing to the right). The real internal bending moments are $M(x)$. The virtual internal moments due to a unit horizontal load at B are $m(x)$. Assume constant $EI$.