V. AISC ASD - Angle in Compression
Determine the allowable compressive load on a single L2x2x1/4 loaded by a gusset plate attached to one leg with eccentricities from the centroid along both axes.
Reference
AISC Allowable Stress Design, 9th Edition,Example 10, page 3-55.
Problem
Comparison
Result Type | Theory | STAAD.Pro | Difference | |
---|---|---|---|---|
Allowable compressive load (kips) | 4.5 | Using a P of 4.5 kip yields a ratio of 0.898 | none |
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Verification Models\09 Steel Design\US\AISC\AISC ASD - Angle in Compression.STD is typically installed with the program.
STAAD SPACE AISC VERIFICATION PROBLEM FOR AXIAL COMPRESSION + BIAXIAL BENDING
* PAGE 3-55 OF 9TH ED. AISC-ASD. SINGLE ANGLE 2X2X1/4
* UNBRACED LENGTH IS 40 INCHES.
UNIT KIP FEET
JOINT COORD
1 0 0 0 ; 2 0 5 0
MEMB INCI
1 1 2
UNIT INCH
MEMB PROP AMERICAN
1 TA ST L20204
CONST
E STEEL ALL
POISS STEEL ALL
SUPP
1 FIXED
LOAD 1
JOINT LOAD
2 FY -4.5
* MZ = P * 0.277 = 1.2465 KIP-INCH
* MX = P * 0.854 = 3.843 KIP-INCH
2 MZ 1.2465
2 MX -3.843
PERF ANALY
UNIT INCH
PARAM
CODE AISC
FYLD 50 ALL
UNT 40 ALL
UNB 40 ALL
LY 40 ALL
LZ 40 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD Output
STAAD.PRO CODE CHECKING - (AISC 9TH EDITION) v1.0
********************************************
|--------------------------------------------------------------------------|
| Y PROPERTIES |
|************* | IN INCH UNIT |
| * |=============================| ==| |== ------------ |
|MEMBER 1 * | AISC SECTIONS | | | AX = 0.94 |
| * | ST L20204 | | | --Z AY = 0.33 |
|DESIGN CODE * | | | | AZ = 0.33 |
| AISC-1989 * =============================== ==| |== SY = 0.39 |
| * SZ = 0.17 |
| * |<---LENGTH (FT)= 5.00 --->| RY = 0.77 |
|************* RZ = 0.39 |
| |
| 0.1 (KIP-FEET) |
|PARAMETER | L1 L1 L1 STRESSES |
|IN KIP INCH | L1 L1 L1 IN KIP INCH |
|--------------- + L1 L1 L1 -------------|
| KL/R-Y= 52.22 | L1 L1 L1 FA = 13.92 |
| KL/R-Z= 103.36 + L1 L1 L1 fa = 4.77 |
| UNL = 40.00 |L1 L1 L1 L1 L1 L1 L1 L1 FCZ = 33.00 |
| CB = 1.00 +L1 L1 L1 L1 L1 L1 L1 L1 FTZ = 33.00 |
| CMY = 0.85 |L1 L1 L1 L1 L1 L1 L1 L1 FCY = 33.00 |
| CMZ = 0.85 +L1 L1 L1 L1 L1 L1 L1 L1 FTY = 33.00 |
| FYLD = 50.00 |L1 L1 L1 L1 L1 L1 L1 L1 fbz = 7.11 |
| NSF = 1.00 +---+---+---+---+---+---+---+---+---+---| fby = 9.89 |
| DFF = 0.00 0.1 Fey = 54.76 |
| dff= 0.00 ABSOLUTE MZ ENVELOPE Fez = 13.98 |
| (KL/R)max = 103.36 (WITH LOAD NO.) FV = 20.00 |
| fv = 0.00 |
| |
| MAX FORCE/ MOMENT SUMMARY (KIP-FEET) |
| ------------------------- |
| |
| AXIAL SHEAR-Y SHEAR-Z MOMENT-Y MOMENT-Z |
| |
| VALUE 4.5 0.0 0.0 0.3 0.1 |
| LOCATION 0.0 0.0 0.0 0.0 0.0 |
| LOADING 1 0 0 1 1 |
| |
|**************************************************************************|
|* *|
|* DESIGN SUMMARY (KIP-FEET) *|
|* -------------- *|
|* *|
|* RESULT/ CRITICAL COND/ RATIO/ LOADING/ *|
| FX MY MZ LOCATION |
| ====================================================== |
| PASS AISC- H1-1 0.899 1 |
| 4.50 C -0.32 -0.10 0.00 |
|* *|
| |
|--------------------------------------------------------------------------|
AISC VERIFICATION PROBLEM FOR AXIAL COMPRESSION + BIAXIA -- PAGE NO. 4
* PAGE 3-55 OF 9TH ED. AISC-ASD. SINGLE ANGL
35. FINISH
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= JUL 4,2024 TIME= 12:54:29 ****
************************************************************
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