Analyse the indeterminate beam illustrated below using the matrix stiffness method. Find the magnitudes of the moments at the ends and centres of the spans. EI$1$ is $18000$ kN$.$m$2,$ EI$2$ is $12000$ kN$.$m$2,$ and EI$3$ is $5000$ kN$.$m$2.$ a $=2$ m$,$ b $=2$ m$,$ and c $=2$ m$.$ w$1=9$ kN$/$m$,$ w$2=16$ kN$/$m$,$ and w$3=15$ kN$/$m

Multiple Choice Answers

Moments at positions indicated on the beam $($kN$.$m$.$ absolute values$)$:

Multiple Choice Answer $-1$:

a$.2\mathrm{.}51$

b$.3\mathrm{.}13$

c$.0\mathrm{.}282$

d$.4\mathrm{.}202$

Multiple Choice Answer $-2$ :

a$.2\mathrm{.}153$

b$.0\mathrm{.}539$

c$.1\mathrm{.}255$

d$.1\mathrm{.}744$

Multiple Choice Answer $-3$:

a$.7\mathrm{.}897$

b$.6\mathrm{.}763$

c$.3\mathrm{.}728$

d$.3\mathrm{.}979$

Multiple Choice Answer $-4$ :

a$.0\mathrm{.}618$

b$.2\mathrm{.}479$

c$.4\mathrm{.}551$

d$.2\mathrm{.}724$

Multiple Choice Answer $-5$:

a$.1\mathrm{.}112$

b$.0\mathrm{.}64$

c$.3\mathrm{.}507$

d$.7\mathrm{.}062$

Multiple Choice Answer $-6$:

a$.6\mathrm{.}735$

b$.3\mathrm{.}969$

c$.0\mathrm{.}454$

d$.5\mathrm{.}798$