A simply supported beam is loaded as shown. Considering

symmetry, the reactions at supports A and $B$ are

$R_1=R_2=\frac{wa}{2}$

Using the singularity method, determine the shear force

$V$ along the length of the beam as a function of distance

$x$ from the support $A.$

$(10$ points$)$

Using the singularity method, determine the bending $M$ along the length of the beam as a function of

distance $x,$ from the support $A.(5$ points$)$

Using the singularity method, determine the beam slope and deflection along the length of the beam

as a function of the distance $x,$ from the support $A.$ Assume the material modulus of elasticity, $E$ and

the moment of inertia of the beam cross$-$section, I are given. $(10$ points$)$