$10\mathrm{.}4-3$ A fixed$-$end beam $AB$ supports a uniform load of intensity $q=75l\frac{b}{f}t$ acting over part of the span. Assume that $EI=300kjps-f{t}^2.$

a$.$ Calculate the reactions at A and $B.$

b$.$ Find the maximum displacement and its location. $$

c$.$ Repeat part $($a$)$ if the distributed lnad is applied from $A$ to $B.$

Problem $10\mathrm{.}4\mathrm{.}3$