Figure $4.$ Cross$-$section of square hollow structural steel.

Figure $1.$ Bench with two legs constructed of round hollow structural steel.

structure steel.

Note that each question will have different value for the uniformly distributed load,

w$.$

A new bench, $2m$ in length, is proposed to be constructed with a leg length of $0\mathrm{.}3m$

and subjected to a vertical uniformly distributed load $($UDL$)$ of $0\mathrm{.}4k\frac{N}{m}$ acting on

the bench surface, and no horizonal forces. Instead of a round HSS for use as the

bench leg as used in Question $1($see Figure $1),$ a square HSS is proposed. The cross$-$

section dimensions for the square HSS are show in in Figure $4.$ Compressive strength

testing was completed on the square HSS with the results of the testing provided in

Figure $5.$ Assume the elastic modulus of steel is $200$GPa.

When using Figure $5$ to understand the force at yield, use a precision of $25kN$ to

interpolate the graph to determine the force to use in the calculation. For example,

if the interpolated force is $165kN,$ use a value of $175kN$ in your calculation $($i$.$e$.,$

round up in this case$).$ As for another example, if the interpolated force is $155kN,$

use a value of $150kN$ in your calculation $($i$.$e$.,$ round down in this case$).$

Determine the yield stress for the square HSS in MPa. Use $3$ significant figures.