Problem

The lamp frame shown in the figure below has hollow, square cross sections and is made of steel, with $E=29{10}^{6}l\frac{b}{i}n.{?}^2$

$($a$)$ Develop a Finite Element Model of the Lamp Frame using ABAQUS Learning Edition. Discuss the model you developed. $($Hints: Discuss the number of nodes, number of elements and the element type you have chosen and why$)(30$ Points$)$

$($b$)$ Determine the end point deflection of the cross member where the lamp is attached and the reaction at the base of the frame. $(5$ Points$)$

$($c$)$ Find stresses in each member. Discuss the safety of the design. $($Hint: Look up the strength of steel and determine the Factor of Safety$/$Margin of Safety for the frame. $(5$ Points$)$

$($d$)$ Draw the shear Force and Bending Moment diagram for the cross member $($the horizontal member$)(10$ Points$)$

Figure $1$ A Lamp Frame