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Section 2
2-47
Member 6, Size W 16X36, L = 16 ft., a = 10.6 in
2
, Sz = 56.5
in
3
From observation Load case 3 will govern, Forces at the end are
Fx = 10.2 kip (compression), Mz = 62.96 k-ft
Allowable Stress Calculation:
From Table 10.32.1A,
Bending:
Minor Axis:
Allowable minor axis bending stress:
FTY = FTZ = 0.55 x F
Y
= 19.8 ksi
Major Axis:
2
6
50 10
0.772 9.87 0.55
yc
b
cz y
xc yc
I
xC
Jd
FF
Sl I l
⎛⎞
⎛⎞
=+
⎜⎟
⎜⎟
⎝⎠
⎝⎠
≤
Where, C
b
= 1.75+ 1.05(M1/M2)+0.3x(M1/M2)
2
Here M1 = 8.947 M2 = 183.05, so C
b
= 1.69
S
zc
=Section modulus w.r.t. compression flange =448/(0.5X15.86)
= 56.5 in
3
I
YC
= tb
3
/12 = 0.43 x 6.99
3
/12 = 12.238 in
4
J = (2 x 6.99x0.43
3
+ (15.86 – 2x0.43)x0.29
3
)/3 = 0.5 in
4
2
6
50 10 1.69 12.238 0.5 15
0.772 9.87
56.5 192 12.238 192
cz
F
××
⎛⎞ ⎛⎞
=
+=
⎜⎟ ⎜⎟
⎝⎠ ⎝⎠
28789.17 psi