SITUATION: A W$24$x$76,$ A$992($grade $50)$ steel is to be used as

simply supported beam to

resist a uniform load. The beam is laterally braced at the supports

and at midspan.

Properties of W $2476$

Gross Area, $Ag=14,500m{m}^2$

Flange Width, bf $=228mm$

Flange thickness, $tf=17\mathrm{.}3mm$

Web thickness, $tw=11\mathrm{.}2mm$

Depth, $d=607mm$

Elastic Section Modulus about $x-$axis, $Sx=2,880{10}^3$

Torsional Constant, $J=1,120{10}^{2}m{m}^4$

Radius of Gyration along $x-$ axis, $r_x=246mm$

Radius of Gyration along $y-$ axis, $r_y=48\mathrm{.}8mm$

Plastic Section Modulus about $x-$ axis, $Zx=3,280{10}^{3}m{m}^3$

Using ASD and LRFD Provisions of NSCP $2010/2015.$ Determine

the Moment Capacity for the following cases:

$17.$ Length of Beam is $3-$ meters

Ans:

$18.$ Length of Beam is $9-$ meters

Ans:

$19.$ Length of Beam is $15-$ meters

Ans: