$(2)(30$ pt$)$ The connection details of a $6\mathrm{.}0m$ long UPN $300$ profile are shown in the figure below. The element is connected to the gusset plate using fillet welds. The element is subjected to axial tensile dead load of $P_G=150kN$ and axial tensile live load of $P_Q=400kN.$ The element is made of S$275$ steel $)=275\frac{N}{m}{m}^2{F}_u=(430\frac{N}{m}{m}^2.$ Take $U=0\mathrm{.}89.$

Calculate the characteristic tensile load.

Control the design strength of the tension member using LRFD$.$

Control the safe strength of the tension member using ASD.

What is the effective weld size $($a$)$ that the connection must have to safely withstand the applied loads if the weld length in each side $L_w=240mm.$ Take the strength of the transverse weld equal to the strength of the longitudinal weld. $F_{\text{E}\text{x}\text{x}}=550$MPa.