V. AISC LRFD - Wide Flange Compression Capacity 1

To determine the capacity of W14X132 column in axial compression.

Reference

Hand calculation using the following reference:

AISC Load Factor Resistance Design, 3rd Edition, Example 4.1, case (a), page 4-7.

Problem

The column is braced at its ends for both axes.

F_y =50 ksi

Length = 30 ft

Hand Calculation

Net section = 0.795(3.75 in.²) = 2.98 in.²

ϕ P_{n} = {\begin{matrix} ϕ_{t} F_{y} A_{g} = 0.9 (36 k s i) (3.75 {i n .}^{2}) = 121.5 k \\ ϕ_{t} F_{u} A_{e} = 0.75 (58 k s i) (2.98 {i n .}^{2}) = 129.6 k \end{matrix}

Comparison

The reported STAAD.Pro value is based on the term PNT in the STAAD.Pro output..

Table 1. Comparison of results
Result Type		Theory	STAAD.Pro	Difference
Design strength (kips)		844	843.02	none

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\AISC\AISC LRFD - Wide Flange Compression Capacity 1.STD is typically installed with the program.

STAAD SPACE AXIAL COMPRESSION CAPACITY PER AISC LRFD 3RD ED
START JOB INFORMATION
ENGINEER DATE 23-Sep-18
END JOB INFORMATION
*
*  EXAMPLE PROBLEM 4.1, CASE (A), PAGE 4-7, AISC LRFD 3RD ED.
*  CAPACITY (PNC) SHOULD BE ABOUT 844 KIPS
*
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 30 0;
MEMBER INCIDENCES
1 1 2;
MEMBER PROPERTY AMERICAN
1 TABLE ST W14X132
UNIT INCHES KIP
DEFINE MATERIAL START
ISOTROPIC MATERIAL1
E 29000
POISSON 0.3
END DEFINE MATERIAL
UNIT FEET KIP
CONSTANTS
MATERIAL MATERIAL1 ALL
SUPPORTS
1 PINNED
2 FIXED BUT FY MX MZ
LOAD 1
JOINT LOAD
2 FY -840
PERFORM ANALYSIS
UNIT INCHES KIP
PARAMETER 1
CODE LRFD
FYLD 50 ALL
TRACK 1 ALL
CHECK CODE ALL
FINISH

STAAD Output

                         STAAD.Pro CODE CHECKING - (LRFD 3RD EDITION)   v1.0
                         ***********************
 ALL UNITS ARE - KIP  INCH (UNLESS OTHERWISE Noted)
 MEMBER     TABLE       RESULT/   CRITICAL COND/     RATIO/     LOADING/
                          FX            MY             MZ       LOCATION
 =======================================================================
      1  ST   W14X132                  (AISC SECTIONS)
                           PASS     LRFD-H1-1A-C       0.996         1
                      840.00 C          0.00           0.00        0.00
 +---------------------------------------------------------------------+
 | DESIGN STRENGTHS FOR MEMBER     1       UNITS - KIP IN              |
 | PNC=  843.02  PNT= 1746.00  MNZ= 9138.93  MNY= 5032.65  VN=  256.00 |
 +---------------------------------------------------------------------+