Mini$-$Project $2$

The beam shown in the next slide is supported by two springs at its ends. Write a MATLAB program that: $(1)$ computes the deflection at any point along the beam; $(2)$ computes the maximum deflection and its location; $(3)$ draws the deformed shape of the beam; and $(4)$ determines the location of the concentrated load $\backslash ($ P $\backslash )$ where the peak beam deflection is at its maximum. Use the Particle Swarm Optimization algorithm in $(4)$ to determine the location of the load.

Neglect the self$-$weight of the beam and the springs. Assume that the load $\backslash ($ P $\backslash )$ remains vertical regardless of the deflected shape of the beam. Assume that the beam is supported laterally $($i$.$e$.,$ the left support can move only vertically$).$

Mini$-$Project $2$