Solve fully and completely. That means doing the work yourself, FULLY, using the variables and values shown in the problem given $($do not copy from another Chegg answer$).$ Show all work, give all answers.Design a frame$-$like structure to support a distributed load $f=500\frac{N}{m}.$ The frame

can have any shape and as many members as you decide is appropriate. Assume that

only square cross$-$section bar stocks are available to build the structure and that the

frame will be constructed by cutting bars of appropriate lengths and welding them

together. All the members need not have the same cross$-$sectional area. The objective

is to minimize the weight of the structure and design a lightweight structure that can

support the given distributed load without deforming plastically. Also make sure that

the structure is stiff so that it does not deflect more than $2mm($anywhere$)$ when

loaded. Assume that all members are made of alloy steel whose material properties

are: Elastic modulus is $E=2\mathrm{.}1{10}^{11}Pa,$ Poisson's ratio $v=0\mathrm{.}3,$ density $=7700$

$K\frac{g}{m^3}$ and yield strength is $620{10}^{6}Pa.$ Use a safety factor of $1\mathrm{.}5.$

$($Note: If any of the members are subjected to large compressive stress they could

buckle. This is an important mode of failure for frame$-$like structures. However, to

keep the project simple we will ignore buckling.$)$

Write a brief project report describing the design objective, the design method, the

results and your conclusion. As part of your results, make a table listing the

dimensions and weight of each member in the structure and turn in plots of your finite

element results to show that the design satisfies all the requirements specified. Upload

the input file $(*.$ibf, $*.$sldprt$)$ with your project report.