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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

KL = 40 in

Comparison

Table 1. Comparison of results
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 CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\ASD 9th Edition\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
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
  |--------------------------------------------------------------------------|