American Steel Design
Section 2
2-40
for the end section, Equation 10-43
1.138 20.299
0 1.092
0.472 0.472 * 36 19.8
by
abz
ybzby
f
ff
FF F
++= + +=
The value calculated by STAAD is 1.093
Member 3, Size W 14X43, L = 11 ft., a = 12.6 in
2
, Sz = 62.7 in
3
From observation Load case 3 will govern, Forces at the end are
Fx = 25.5 kip (compression), Mz = 112.17 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 = 0, so C
b
= 1.75
S
zc
=Section modulus w.r.t. compression flange =428/(0.5X13.66)
= 62.7 in
3