W1426 Design Moment Draw aWxdesign moment ASTM A992 steel In

W14×26 Design Moment

Draw aW_x__design moment, ASTM A992 steel. Include the following points and calculations: a. Web and flange slenderness ratios b.Lp and c. Design moments for lb =Lp, Lp-Lb =Lr, and Lb =15ft

Solution

Given section is W14x26

a) b=0.5*width of flange=0.5*5.025 in=2.5125 in

t=thickness of flange=0.42 in

b/t=2.5125/0.42=5.98

0.38*sqrt(E/fy)=0.38*sqrt(29000/50)=9.15

5.98<9.15, therefore, web is compact

h=d-2*tf = 13.91-2*0.42=13.07 in

t_w=0.255

h/t_w=13.07/.255=51.25

3.76*sqrt(E/fy)=3.76*sqrt(29000/50)=90.55

51.25<90.55

Web is compact

Therefore the section is compact

b)Per table 3-2 of AISC, L_p=3.81 ft and L_r=11 ft

c) per table 3-2 of AISC, M_p=151 kip-ft ; M_r=92.7 kip-ft