$6.$ A $12$m long beam is simply supported at the left end and is fixed at the right end. It is subjected to uniformly distributed Icads. Dead Load, w $16\mathrm{.}7$ kN$/$m$.$ Bending is about the major X$-$axis. Section W$540$ mm x $150$kg$/$m Area, A$=19,225$ mm $2$ Depth, d $=540$ mm; Flange Width, bf $=310$ mm; Web Thickness, tw $=12\mathrm{.}5$ mm; Flange Thickness, If $=20$ mm; Elastic Section Modulus, Sx $=3\mathrm{.}72$ x $10^6$ mm$^3$; Elastic Section. Modulus, Sy $=0\mathrm{.}66$ x $10^6$ mm$*3$; Plastic Modulus, $2$x $=4\mathrm{.}14$ x $10^6$ m$^3$Plastic Modulus, Zy $1\mathrm{.}01$ x $10^6$ mm $3$Structural Steel, Fy $=345$ MPa, Modulus of Elasticity, E $200$ GPa.

a Based on the design flexural strength of the beam, Mu$,$ which following gives the maximum live load $($kN$/$m$)$ it can carry? Factored Load Combination, U$=1\mathrm{.}2$D $1\mathrm{.}6$LResistance Factor for Flexure, phi $=0\mathrm{.}9.$ ANSWER:

b$.)$

Based on the design shear strength of the beam, Vu$,$ how much is the maximum live load $($kN$/$m$)$ that the

beam can be subjected to$?$ Factored Load Combination, U $=1\mathrm{.}201\mathrm{.}6$L Resistance Factor for Shear, phi $=1\mathrm{.}0$

Shear Stress at Factored Loads, vu $=$ $$0\mathrm{.}6$Fy$.$

ANSWER:

Which of the following gives the maximum service live load $($kN$/$m$)$ on the beam based on an allowable

deflection due to live load of $1/360$ of the span?

ANSWER: