Q$7\mathrm{.}4\mathrm{.}5$ A $7$ m long simply supported beam ABCDE is subjected to three loads, a concentrated

load $P$ of $10$ kN at Section A$,$ a partially uniformly distributed load $q$ with an intensity of $4k\frac{N}{m}$

over a region of BC and a specific bending moment $M_0$ of $8$ kNm at Section D$,$ as shown in Fig.

$7\mathrm{.}4\mathrm{.}5.$ Using the Macaulay method, find deflection at Sections A and C and slope at Section E$.$

Assume that the flexural rigidity $EI$ of the beam is $400{10}^{3}N{m}^2.$

Answers: $43\mathrm{.}88mm,-37\mathrm{.}8mm$ and $12\mathrm{.}78{10}^{-3}$ radian.