V.CSA S16-09 - Slender Column Compression
Determine the factored compressive resistance of a slender column.
Reference
Kulak, G.L. and G.Y. Grondin. 2010. Limit States Design in Structural Steel. 9th Edition. Markham, ON:CISC. Example 4.2
Problem
A W250x73 section is used for a pedestal with a height of 11.0 m.
The material used is G40.21 350W steel (Fy = 350 MPa) (FYLD)
The nominal yield strength is used for the actual yield strength for a Group 2 section, per Table 3 and Table 4 of Appendix A of the reference.
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\Canada\S16 2009\CSA S16-09 - Slender Column Compression.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 22-Mar-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 0 11 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+08
POISSON 0.3
DENSITY 76.92
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
*STRENGTH FY 350000 FU 450000 RY 1.5 RT 1.2
G 7.692e+07
END DEFINE MATERIAL
MEMBER PROPERTY CANADIAN
1 TABLE ST W250X73
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FY -0.001
PERFORM ANALYSIS
PRINT MEMBER PROPERTIES ALL
PRINT SUPPORT REACTION ALL
PARAMETER 1
CODE CANADIAN 2009
FYLD 350000 ALL
FU 450000 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD.Pro Output
STAAD.PRO CODE CHECKING - S16-09 (v1.1) ******************************************* ALL UNITS ARE - KN MET (UNLESS OTHERWISE Noted) -------------------- START OF DESIGN OUTPUT OF MEMBER 1 -------------------- MEMBER NO: 1 CRITICAL RATIO: 0.000(PASS) LOAD: 1 LOCATION (MET): 0.00 CONDITION: Cl. 13.8.2 SECTION: ST W250X73 (CANADIAN SECTIONS) UNIT: KN MET STRENGTH CHECKS: CRITICAL RATIO: 0.000(PASS) LOAD CASE: 1 LOCATION (MET): 0.00 CONDITION: Cl. 13.8.2 DESIGN FORCES: Fx: 0.00(C) Fy: 0.00 Fz: 0.00 Mx: 0.00E+00 My: 0.00E+00 Mz: 0.00E+00 UNIT: CM SECTION PROPERTIES: AZZ: 72.136 AYY: 20.537 CW: 552900.312 SZZ: 893.281 SYY: 305.512 IZZ: 11300.001 IYY: 3880.000 UNIT: NEW MM MATERIAL PROPERTIES: FYLD: 350.000 FU: 450.000 ACTUAL MEMBER LENGTH(MET): 11.000 PARAMETERS: KZ: 1.000 KY: 1.000 NSF: 1.000 SLF: 1.000 SLENDERNESS: ACTUAL SLENDERNESS RATIO: 170.118 LOAD: 1 LOC.(MET): 0.000 ALLOWABLE SLENDERNESS RATIO: 200.000 SECTION CLASS: COMPRESSION: Class 1 FLEXURE: Class 2 FLANGE: Class 2 WEB: Class 1 UNIT: KN MET TENSION: FORCE: CAPACITY: RATIO: CRITERIA: LOAD CASE: LOCATION(MET): YIELDING: 0.000 2923.200 0.000 Cl. 13.2 1 0.000 RUPTURE: 0.000 3132.000 0.000 Cl. 13.2 1 0.000 STAAD SPACE -- PAGE NO. 6 STAAD.PRO CODE CHECKING - ( S16-09) v1.1 ******************************************** ALL UNITS ARE - KN MET (UNLESS OTHERWISE Noted) COMPRESSION: FORCE: CAPACITY: RATIO: CRITERIA: LOAD CASE: LOCATION(MET): MAJOR: 0.001 1266.716 0.000 Cl. 13.3 1 0.000 MINOR: 0.001 538.161 0.000 Cl. 13.3 1 0.000 INTERMEDIATE: Ag:(CM) KL/r: Fe:(N MM) λ n: MAJOR: 92.800 99.684 203.610 1.311 1.340 MINOR: 92.800 170.118 69.912 2.237 1.340 SHEAR: FORCE: CAPACITY: RATIO: CRITERIA: LOAD CASE: LOCATION(MET): MAJOR: 0.000 452.349 0.000 Cl. 13.4.1.1 1 0.000 MINOR: 0.000 1363.370 0.000 AISC G2-1 1 0.000 INTERMEDIATE: Aw:(CM) Kv: Ka: Fcri:(N MM) Fcre:(N MM) Fs:(N MM) MAJOR: 20.537 5.342 0.023 480.151 1409.819 231.000 MINOR: 72.136 UNIT: KN MET YIELDING: FORCE: CAPACITY: RATIO: CRITERIA: LOAD CASE: LOCATION(MET): MAJOR: 0.00E+00 3.10E+02 0.000 Cl. 13.5(a) 1 0.000 MINOR: 0.00E+00 1.46E+02 0.000 Cl. 13.5(a) 1 0.000 INTERMEDIATE: Mp: Se: My: MAJOR: 3.45E+02 0.00E+00 0.00E+00 MINOR: 1.62E+02 0.00E+00 0.00E+00 UNIT: KN MET LAT TOR BUCK: FORCE: CAPACITY: RATIO: CRITERIA: LOAD CASE: LOCATION(MET): MAJOR: 0.00E+00 2.83E+02 0.000 Cl. 13.6(a)(i) 1 0.000 INTERMEDIATE: Iyc(CM): w 2: w 3: b x: Mu: rt: Myr: Lu: Lyr: MAJOR: 0.00E+00 2.50 0.00 0.00 4.66E+02 0.00 0.00E+00 0.00 0.00 UNIT: KN MET INTERACTION: RATIO: CRITERIA: LOAD CASE: LOCATION(MET): FLEXURE AND AXIAL TENSION: C/S STRENGTH: 0.000 Cl. 13.9.1 1 0.000 FLEXURE AND AXIAL COMPRESSION: C/S STRENGTH: 0.000 Cl. 13.8.2 1 0.000 MEMBER STRENGTH: 0.000 Cl. 13.8.2 1 0.000 LTB STRENGTH: 0.000 Cl. 13.8.2 1 0.000 FLEX AND SHEAR: 0.000 Cl. 14.6(a) 1 0.000 BIAXIAL FLEX: 0.000 Cl. 13.8 1 0.000 INTERMEDIATE: FLEXURE AND AXIAL TENSION: C/S STRENGTH: Tf: 0.00E+00 Tr: 2.92E+03 Mfz: 0.00E+00 Mrz: 3.10E+02 STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - ( S16-09) v1.1 ******************************************** ALL UNITS ARE - KN MET (UNLESS OTHERWISE Noted) FLEXURE AND AXIAL COMPRESSION: Cf: Mfz: Mfy: Cr: Mrz: Mry: b : Cez: Cey: w 1z: w 1y: U1z: U1y: C/S STR: 1.00E-03 0.00E+00 0.00E+00 2.92E+03 3.10E+02 1.46E+02 0.85 1.89E+03 6.49E+02 0.60 0.60 1.00 1.00 MEM STR: 1.00E-03 0.00E+00 0.00E+00 5.38E+02 3.10E+02 1.46E+02 0.85 1.89E+03 6.49E+02 0.60 0.60 1.00 1.00 LTB STR: 1.00E-03 0.00E+00 0.00E+00 5.38E+02 2.83E+02 1.46E+02 0.85 1.89E+03 6.49E+02 0.60 0.60 1.00 1.00 FLEX SHEAR: Mfz: 0.00E+00 Mrz: 2.83E+02 Vfy: 0.00E+00 Vry: 4.52E+02 BIAX FLEX: Mfz: 0.00E+00 Mrz: 2.83E+02 Mfy: 0.00E+00 Mry: 1.46E+02 -------------------- END OF DESIGN OUTPUT OF MEMBER 1 --------------------