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American Steel Design
Section 2
2-38
Bending Minor Axis:
Allowable minor axis bending stress:
FTY = FTZ = 0.55 x F
Y
= 19.8 ksi
Bending 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 = 39.44, M2 = 677.96 so C
b
= 1.69
S
zc
=Section modulus w.r.t. compression flange =204/(0.5X12.22)
= 33.38789 in
3
I
YC
= tb
3
/12 = 0.38 x 6.49
3
/12 = 8.6564 in
4
J = (2 x 6.49x0.38
3
+ (12.22 – 2x0.38)x0.23
3
)/3 = 0.28389 in
4
2
6
50 10 1.69 8.6564 0.28389 11.46
0.772 9.87
33.38789 60 8.6564 60
cz
F
××
⎛⎞ ⎛⎞
=
+=
⎜⎟ ⎜⎟
⎝⎠ ⎝⎠
227337.5 psi
Since FCZ is larger than 0.55xF
Y,
FCZ = 0.55xF
Y
= 19.8 ksi
Axial Compression:
Critical (KL/r)
y
= 1.0 x 60/1.503 = 39.92
22
2 2 *29000
126.099
36
c
y
E
C
F
ππ
== =