$***$Please help with part $($b$)$ The truss shown consists of horizontal members made of aluminum $(E=70$GPa$)$ and the others

made of steel $(E=210$GPa$).$ The cross$-$section areas are $60m{m}^2$ for the vertical members, $100$

$m{m}^2$ for the horizontal members, and $75m{m}^2$ for the diagonal members.

$($a$)$ Use statics to find the forces, reactions, stresses, and strains in all members.

$($b$)$ Use the finite element method to determine the element stiffness matrices, global stiffness

matrix $($with the appropriate columns left out$)$ all deformations, all reactions, and forces and

stresses in all members. Note: make Joint $A$ as Node $1,B$ as $2,$ etc. The element numbers

should be in the order $AB,BC,BD,BE.AE,ED.$ You may use Excel or MATLAB for this.

$($c$)$ Given ${}_Y=1500$MPa $($S$)$ and ${}_Y=400$MPa$(A),$ find how much the two loads can be

increased $($in the same ratio$)$ to$,$ for a factor of safety of $2\mathrm{.}5.$ The values for forces in all members are:

$F_{AB}=7\mathrm{.}5kN(T),F_{AE}=4\mathrm{.}5kN(C),F_{EB}=8kN(T),F_{ED}=4\mathrm{.}5kN(C),F_{BD}=19\mathrm{.}8kN(C),F_{BC}=18\mathrm{.}5kN(T)$

Reaction Forces,

using Matlab code$***$

$***$values for forces assigned in second picture$***$

The truss shown consists of horizontal members made of aluminum $($E $=70$ GPa$)$ and the others

made of steel $($E $=210$ GPa$).$ The cross$-$section areas are $60$ mm$2$

for the vertical members, $100$

mm$2$

for the horizontal members, and $75$ mm$2$

for the diagonal members.

$($a$)$ Use statics to find the forces, reactions, stresses, and strains in all members.

$($b$)$ Use the finite element method to determine the element stiffness matrices, global stiffness

matrix $($with the appropriate columns left out$)$ all deformations, all reactions, and forces and

stresses in all members. Note: make Joint A as Node $1,$ B as $2,$ etc. The element numbers

should be in the order AB$,$ BC$,$ BD$,$ BE$.$ AE$,$ ED$.$ You may use Excel or MATLAB for this.