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American Steel Design
Section 2
2-44
The critical moment occurs at the end node of the beam. So we use
the AASHTO equation 10.42 in section 10-36 to calculate the
design ratio.
Actual bending stress = 112.17 x12/62.7 = 1.789 x 12 = 21.467 ksi
0.6944 21.467
0 1.119
19.8 19.8
by
abz
abzby
f
ff
FF F
++= + +=
0.6944 21.467
0 1.125
0.472 0.472 * 36 19.8
by
abz
ybzby
f
ff
FF F
++= + +=
The value calculated by STAAD is 1.126
Member 5, Size W 16X36, L = 5 ft., a = 10.6 in
2
, Sz = 56.5 in
3
From observation Load case 3 will govern, Forces at the end are
Fx = 14.02 kip (compression), Mz = 57.04 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
⎛⎞
⎛⎞
=+
⎜⎟
⎜⎟
⎝⎠
⎝⎠
≤