V. CSA S16-19 - Axial Tension
Determine the capacity of a member subject to axial tension load per the CSA S16-19 code.
Problem
A 4 m long member is subjected to a 630 kN tensile load. The section is a Canadian W100x19. The steel is grade 300W.Section Properties
- Ag = 2,480 mm2
Material Properties
- Fy = 300 MPa
- Fu = 450 MPa
Assume the gross area for both yielding and rupture limit states. Therefore, Ane = Ag = 2,480 mm2.
So, the tensile capacity = 669.6 kN.
The critical stress ratio 630 / 669.6 = 0.941.
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\Canada\CSA S16-19 - Axial Tension.STD is typically installed with the program.
The following design
parameters are used:
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 16-Sep-21
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 4 0 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 W100x19
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
2 FIXED BUT FX MY MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FX 630
PERFORM ANALYSIS
PRINT MEMBER PROPERTIES ALL
PRINT SUPPORT REACTION ALL
PARAMETER 1
CODE CANADIAN
FYLD 300000 ALL
FU 450000 ALL
SNUG 0 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
STAAD Output
STAAD.PRO CODE CHECKING - CSA S16-19 (v1.0) *********************************************** ALL UNITS ARE IN KN MET UNLESS OTHERWISE Noted |--------------------------------------------------------------------------| | MEMBER NO.: 1 SECTION: ST W100X19 (CANADIAN SECTIONS)| | STATUS: PASS CRITICAL RATIO: 0.941 LOADCASE 1 | | LOCATION: 0.00 CRITICAL CONDITION: Cl. 13.9.2 | |--------------------------------------------------------------------------| | STRENGTH CHECK SUMMARY | | CRITICAL RATIO: 0.941(PASS) LOAD CASE: 1 | | LOCATION : 0.00 CONDITION: Cl. 13.9.2 | |--------------------------------------------------------------------------| | DESIGN FORCES LC: 1 LOC: 0.00 | | FX: 630.00(T) FY: 0.00 FZ: 0.00 | | MX: 0.000E+00 MY: 0.000E+00 MZ: 0.000E+00 | |--------------------------------------------------------------------------| | SECTION PROPERTIES (LOC: 0.00) UNIT: CM | | AXX: 24.800 AZZ: 18.128 AYY: 7.526 | | IXX: 6.360 IZZ: 477.000 IYY: 161.000 | | PZZ: 103.000 PYY: 48.000 | | SZZ: 90.000 SYY: 31.262 CW : 3785.434 | |--------------------------------------------------------------------------| | MATERIAL PROPERTIES UNIT: N MM | | FYLD: 300.000 FU: 450.000 E: 204999.984 G: 76920.000 | |--------------------------------------------------------------------------| | DESIGN PARAMETERS | | ACTUAL MEMBER LENGTH: 4.000 LZ: 4.000 LY: 4.000 | | KZ: 1.000 KY: 1.000 NSF: 1.000 SLF: 1.000 | |--------------------------------------------------------------------------| | SECTION CLASS | | COMPRESSION : Class 1 | | FLEXURE MAJOR MINOR | | SECTION : Class 1 Class 1 | | FLANGE : Class 1 Class 1 | | WEB (CRITICAL) : Class 1 | |==========================================================================| | SLENDERNESS | | ACTUAL SLENDERNESS RATIO : 156.990 LC : 1 | | ALLOWABLE SLENDERNESS RATIO: 300.000 LOC : 0.00 | |--------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 6 STAAD.PRO CODE CHECKING - CSA S16-19 (v1.0) *********************************************** ALL UNITS ARE IN KN MET UNLESS OTHERWISE Noted Member : 1 Contd. |--------------------------------------------------------------------------| | CHECKS FOR AXIAL TENSION | |--------------------------------------------------------------------------| | YIELDING | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 6.30E+02 6.70E+02 0.941 Cl. 13.2 1 0.000 | | RUPTURE | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 6.30E+02 8.37E+02 0.753 Cl. 13.2 1 0.000 | |--------------------------------------------------------------------------| | CHECKS FOR AXIAL COMPRESSION | |--------------------------------------------------------------------------| | FLEX BUCKLING | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | MAJOR: 0.00E+00 3.57E+02 0.000 Cl. 13.3 1 0.000 | | MINOR: 0.00E+00 1.62E+02 0.000 Cl. 13.3 1 0.000 | | INTERMEDIATE RESULTS: | | Ag:(CM) Fe:(N MM) λ: n: KL/r: | | MAJOR: 24.800 243.221 1.111 1.34 91.207 | | MINOR: 24.800 82.093 1.912 1.34 156.990 | |--------------------------------------------------------------------------| | FLEXURAL TORSIONAL BUCKLING | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 1.62E+02 0.000 Cl. 13.3 1 0.000 | | INTERMEDIATE RESULTS: | | Ag:(CM) 24.800 Fe:(N MM) 82.093 λ: 1.912 n: 1.34 | |--------------------------------------------------------------------------| | CHECKS FOR SHEAR | |--------------------------------------------------------------------------| | SHEAR ALONG Y AXIS | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 1.34E+02 0.000 Cl. 13.4.1.1 1 0.000 | | INTERMEDIATE RESULTS: | | Aw:(CM) Kv: Ka: Fcri:(N MM) Fcre:(N MM) Fs:(N MM) | | 7.526 5.343 0.026 932.501 6203.750 198.000 | |--------------------------------------------------------------------------| | SHEAR ALONG Z AXIS | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 2.94E+02 0.000 AISC G2-1 1 0.000 | | INTERMEDIATE RESULTS: | | Aw:(CM) | | 18.128 | |--------------------------------------------------------------------------| STAAD SPACE -- PAGE NO. 7 STAAD.PRO CODE CHECKING - CSA S16-19 (v1.0) *********************************************** ALL UNITS ARE IN KN MET UNLESS OTHERWISE Noted Member : 1 Contd. |--------------------------------------------------------------------------| | CHECKS FOR BENDING | |--------------------------------------------------------------------------| | YIELDING ALONG MAJOR AXIS | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 2.781E+01 0.000 Cl. 13.5(a) 1 0.000 | | INTERMEDIATE RESULTS: Mp: 3.09E+01 Se(CM): 0.00E+00 My: 0.00E+00| |--------------------------------------------------------------------------| | YIELDING ALONG MINOR AXIS | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 1.296E+01 0.000 Cl. 13.5(a) 1 0.000 | | INTERMEDIATE RESULTS: Mp: 1.44E+01 Se(CM): 0.00E+00 My: 0.00E+00| |--------------------------------------------------------------------------| | LATERAL TORSIONAL BUCKLING (MAJOR AXIS) | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 2.781E+01 0.000 Cl. 13.6(a)(i) 1 0.000 | | INTERMEDIATE RESULTS: | | Iyc(CM): w 2: w 3: b x(CM): Mu: rt: Myr: Lu: Lyr: | | 0.00E+00 2.50 0.00 0.00 8.267E+01 0.00 0.00E+00 0.00 0.00 | |--------------------------------------------------------------------------| | CHECKS FOR INTERACTION | |--------------------------------------------------------------------------| | FLEXURE AND AXIAL TENSION | | RATIO: CRITERIA: LC: LOC: Tf: Tr: | | C/S STRENGTH : 0.941 Cl. 13.9.2 1 0.00 6.30E+02 6.70E+02 | | Mfz: Mfy: Mrz: Mry: | | C/S STRENGTH : 0.00E+00 0.00E+00 2.78E+01 1.30E+01 | |--------------------------------------------------------------------------| | FLEXURE AND AXIAL COMPRESSION | | RATIO: CRITERIA: LC: LOC: Cf: Cr: | | C/S STRENGTH : 0.000 Cl. 13.8.2 1 0.000 0.00E+00 6.70E+02 | | MEMBER STRENGTH: 0.000 Cl. 13.8.2 1 0.000 0.00E+00 1.62E+02 | | LTB STRENGTH : 0.000 Cl. 13.8.2 1 0.000 0.00E+00 1.62E+02 | | Mfz: Mfy: Mrz: Mry: w 1z: w 1y: | | C/S STRENGTH : 0.00E+00 0.00E+00 2.78E+01 1.30E+01 0.60 0.60 | | MEMBER STRENGTH: 0.00E+00 0.00E+00 2.78E+01 1.30E+01 0.60 0.60 | | LTB STRENGTH : 0.00E+00 0.00E+00 2.78E+01 1.30E+01 0.60 0.60 | | b : Cez: Cey: U1z: U1y: | | C/S STRENGTH : 0.85 6.03E+02 2.04E+02 1.00 1.00 | | MEMBER STRENGTH: 0.85 6.03E+02 2.04E+02 1.00 1.00 | | LTB STRENGTH : 0.85 6.03E+02 2.04E+02 1.00 1.00 | |--------------------------------------------------------------------------| | SHEAR CAPACITY MODIFICATION ( SHEAR AND FLEX ) | | FORCE: CAPACITY: RATIO: CRITERIA: LC: LOC: | | 0.00E+00 1.341E+02 0.000 Cl. 14.6 1 0.000 | |--------------------------------------------------------------------------| | BIAXIAL FLEXURE | | RATIO: CRITERIA: LC: LOC: Mfz: Mrz: Mfy: Mry: | | 0.000 Cl. 13.8 1 0.00 0.00E+00 2.78E+01 0.00E+00 1.30E+01 |