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American Steel Design
Section 2
2-50
Axial Tension:
F
a
= 0.55 x F
Y
= 19.8 ksi
Shear:
Allowable shear stress as per gross section, F
v
= 0.33xF
Y
= 11.8
ksi
Actual Stress Calculation:
Actual stress (f
a
) = 24.05 /10.6 = 2.268 ksi, hence safe.
From Table 10.32.1A, Allowable stress in bending(compression)
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 = 1.11433 x 12 = 13.372
ksi
So the design ratio is
2.268 13.372
0 0.789
19.8 19.8
by
abz
abzby
f
ff
FF F
++= + +=
2.268 13.372
0 0.809
0.472 0.472*36 19.8
by
abz
ybzby
f
ff
FF F
++= + +=
The value calculated by STAAD is 0.809
Member 8, Size L40404, L = 7.07 ft., a = 1.938 in
2
From observation Load case 1 will govern, Forces
Fx = 23.04 kip (compression)