Contents AISC ASD 89 Example 002

User Manual: AISC ASD-89 Example 002

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Software Verification
PROGRAM NAME:
REVISION NO.:

ETABS
0

AISC ASD-89 Example 002
WIDE FLANGE MEMBER UNDER COMPRESSION
EXAMPLE DESCRIPTION
The column design features for the AISC ASD-89 code are checked for the frame
shown below. This frame is presented in the Allowable Stress Design Manual of
Steel Construction, Ninth Edition, 1989, Example 3, Pages 3-6 and 3-7. The
column K factors were overwritten to a value of 2.13 to match the example. The
transverse direction was assumed to be continuously supported. Two point loads
of 560 kips are applied at the tops of each column. The ratio of allow axial stress,
Fa, to the actual, fa, was checked and compared to the referenced design code.
GEOMETRY, PROPERTIES AND LOADING

TECHNICAL FEATURES TESTED
 Section compactness check (compression)
 Member compression capacity

AISC ASD-89 Example 002 - 1

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RESULTS COMPARISON
Independent results are taken from Allowable Stress Design Manual of Steel
Construction, Ninth Edition, 1989, Example 3, Pages 3-6 and 3-7.

ETABS

Independent

Percent
Difference

Compact

Compact

0.00%

Design Axial Stress, fa (ksi)

15.86

15.86

0.00%

Allowable Axial Stress,

16.47

16.47

0.00%

Output Parameter
Compactness

Fa (ksi)
COMPUTER FILE: AISC ASD-89 EX002
CONCLUSION
The results show an exact comparison with the independent results.

AISC ASD-89 Example 002 - 2

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HAND CALCULATION
Properties:
Material: A36 Steel
E = 29,000 ksi, Fy = 36 ksi
Section: W12x120:
bf = 12.32 in, tf = 1.105 in, d =13.12 in, tw=0.71 in
A = 35.3 in2
rx=5.5056 in
Member:
K = 2.13
L = 15 ft
Loadings:
P = 560 kips
Design Axial Stress:
f=
a

P 560
=
A 35.3

f a = 15.86 ksi

Compactness:
Localized Buckling for Flange:
=
λ

=
λp

bf
12.32
=
= 5.575
2t f 2 • 1.105

65
=
Fy

65
= 10.83
36

λ < λ p , No localized flange buckling
Flange is Compact.

AISC ASD-89 Example 002 - 3

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Localized Buckling for Web:

f a 15.86
=
= 0.44
Fy
36

λ
=

d 13.12
=
= 18.48
tw 0.71

fa
0.44 > 0.16
Since =
Fy
=
λp

257 257
= = 42.83
Fy
36

λ < λ p , No localized web buckling
Web is Compact.
Section is Compact.
Member Compression Capacity

KL x 2.13 • (15 • 12 )
=
= 69.638
5.5056
rx
Cc
=

2π2 E
=
Fy

2π2 • 29000
= 126.099
36

KL x
rx
69.638
=
= 0.552
126.099
Cc

KL x
< Cc
rx

AISC ASD-89 Example 002 - 4

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Fa =


1  KL x rx
1.0 − 
2  Cc

5 3  KL x rx
+ 
3 8  C c





2

ETABS
0


 Fy


 1  KL r
 −  x x
 8  Cc





3

1

2
1.0 − (0.552 )  • 36
2

Fa = 
5 3
1
3
+ (0.552 ) − (0.552 )
3 8
8
Fa = 16.47 ksi

AISC ASD-89 Example 002 - 5



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