Truss Analysis

$($Due Tuesday, $10/1/24,11$:$30$ PM$)$

The plane truss shown below has $17$ members $,$

$FH,GH,GI,HI,HJ$ and $IJ).$ The members are constructed from steel $($Young$\text{'}$s modulus $=30x$

${10}^6$ and Poisson's ratio $=0\mathrm{.}29).$ All members have circular cross sections with radii of $1$ in $.$

Note that joints $B$ and I are midway between joints $A$&$D$ and $G$&$J,$ respectively.

Part A: Using the case definitions given in Table $1,$ perform a hand calculation using the method

of joints ${?}^1$ and$/$or the method of sections ${?}^2$ to determine the following:

Which member $($identified by joint letters, e$.$g$.AB,AC,$ etc.$)$ has the largest tensile stress?

What is the stress $($in ksi$)$ in the member with the largest tensile stress?

Which member $($identified by joint letters, e$.$g$.AB,AC,$ etc.$)$ has the largest compressive

stress?

What is the stress $($in ksi$)$ in the member with the largest compressive stress?

Part B: Perform a finite element analysis using the Matlab code provided in class and compare

the results to those in Part A$.$ Also, determine the horizontal and vertical displacement $($in inches$)$

of joint $F?$

Submit your results by uploading the following three files to Brightspace $($look under Computer

Assignment #$1)$:

The solution summary form $($see last page of this assignment$)$

Scanned copy of your hand calculations for Part A

Your Matlab $".$m$"$ file for Part B

SOLVE USING MATLAB

L$1=10$

L$2=9$