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American Steel Design
Section 2
2-48
Since FCZ is larger than 0.55xF
Y,
FCZ = 0.55xF
Y
= 19.8 ksi
Axial Compression:
Critical (KL/r)
y
= 1.0 x 192/1.52 = 126.29
22
2 2 *29000
126.099
36
c
y
E
C
F
ππ
== =
As (KL/r)
y >
C
c
, the allowable axial stress in compression
()
2
2
..
a
E
F
FS KLr
π
= =
()
2
2
*29000
2.12* 126.29
π
= 8.46 ksi
Shear:
Allowable shear stress as per gross section, F
v
= 0.33xF
Y
= 11.8
ksi
Actual Stress Calculation:
Axial stress (f
a
) = 10.2 /10.6 = 0.962ksi.
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 = 62.96 x12/56.5 = 1.26106 x 12 = 13. 372
ksi
(KL/r)
z =
1x192 /6.5 = 29.538
() ()
22
22
*29000
154.58
. . 2.12 29.538
ez
E
F
FS KLr
ππ
== = 154.58
From table 10-36A, C
mz
= 0.85