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 D=
Ig/L
285/16.5
=
= 0.475
0.75Ica/H
(0.75)(737/15.167)
Using linear interpolation to get C2
C2 = 4.49
K = EIcaC2 [1 + (0.7 - 0.1 )(n - 1)]
H3
= (30)(10)3 (737)(4.49)[1 + 0.7(3)]
(15.157 x 12)3
= 51.1 k/in
KL = 0.55(1 - 0.25[beta]) = 0.55
Calculate dead weight, W:
Roof Dead Load
17'x 66' x 12.66 psf
= 14,204.5 lb
Roof Beam
66' x 35 lb/ft
= 2,310.0
Wall Dead Load
1/3(2 x 17' x 15.167' x 16.5 psf) = 2,836.2
Exterior Columns
1/3(2 x 15.167' x 82 lb/ft)
=
829.1
Interior Columns
1/3(3 x 15.167' x 61 lb/ft)
=
925.2
Total
W = 21,105.0 lb
me = W/g = 21,105/32.2
= 655.4 lb-sec2/ft or
= 655.4 x 106 lb-ms2/ft
TN = 2[pi](me/KKL)1/2
= 2[pi][655.4 x 106)/(51.1 x 12 x 103 x 0.55)]1/2
= 277 ms
T/TN = 78/277 = 0.282
B = 5.8 x 17 x 15.167 x 144 = 215 k
B/Ru = 215/108 = 1.99
[mu] = Xm/XE = 1.90
XE = Ru/K = [alpha]wH/K
= 2.32 x 3.06 x 15.167
51.1
= 2.11 in
Xm = [delta] = 1.90 x 2.11 = 4.01 in
[delta]/H = 4.01/(15.167)(12) = 0.0220 [esdot] 1/50
2.08-190
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