In the problem solved in the picture Why is sample problem#4 Non-slender? Is it desirable? Why? SAMPLE PROBLEM #4 Determine the design strength of an ASTM A992 W14 x 132 that ispart of a braced frame. Assume that the physical length L = 30 ft., the ends are pinned and the17column is braced at the ends only for the X-X axis and braced at the ends and mid-height for theY-Y axis.Solution• Step I. Calculate the effective lengths.For W14 x 132:Ix = 6.28 in;ry = 3.76 in; Ag =38.8 in?Kx = 1.0andKy = 1.0Lx = 30 ft. andLy = 15 ft.K,Lx = 30 ft. and K,Ly = 15 ft.• Step II. Determine the governing slenderness ratioKL/rx = 30 x 12 in./6.28 in.= 57.32KyLy/ry = 15 x 12 in./3.76 in. = 47.87The larger slenderness ratio, therefore, buckling about the major axis will govern the columnstrength.• Step III. Calculate the column strengthK,L,30= 17,96 ft.Therefore, (KL)eq =r, /r,KLx = 30 ft.6.28/3.76From Table 4-1,for (KL)eq = 18.0 ft. Ø.Pn = 1370 kips (design column strength)• Step IV. Check the local buckling limitsEFor the flanges, br/2tr = 7.14Ar = 0.56 x= 13.5F,= 35.9VF,For the web, h/tw = 15.5d = 1.49 xTherefore, the section is nonslender. OK.

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SAMPLE PROBLEM #4 Determine the design strength of an ASTM A992 W14 x 132 that is part of a braced frame. Assume that the physical length L = 30 ft., the ends are pinned and the 17 column is braced at the ends only for the X-X axis and braced at the ends and mid-height for the

SAMPLE PROBLEM #4 Determine the design strength of an ASTM A992 W14 x 132 that is part of a braced frame. Assume that the physical length L = 30 ft., the ends are pinned and the 17 column is braced at the ends only for the X-X axis and braced at the ends and mid-height for the

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.5.3P

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