Task $8$

A space truss is shown below. The tension coefficient in the members $AD,BD$ and $CD$ are represented by $T_1,T_2$ and $T_3.$

$-8T_1-2T_2+3T_3=0$

$-8T_1+4T_2=0$

$-4T_1-4T_2-4T_3+70=0$

a$)$ Determine the values $T_1{T}_2$ and $T_3$ using Gaussian Elimination, and evaluate the magnitude of the forces if the force $=$ tension coefficient $x$ length of the member. P$5$

$AD=12m$

$BD=6m$

$CD=5m$

b$)$ Calculate the determinate for the matrix in part A and solve the same problem using the inverse matrix technique. P$4/$M$2$

c$)$ Check your answers using appropriate computer software, D$2$