V. AS4600 2018 - C With Lips Tension Check

Verify the tension capacity of a channel section with lips per the AS/NZS 4600:2018 code.

References

  1. 技术委员会 BD-082. 冷弯钢结构 AS/NZS 4600:2018. 悉尼, 新南威尔士州. 2012.

  2. OneSteel Market Mills. Cold Formed Structural Hollow Sections & Profiles. Fourth Edition. 2003. p.46

Details

An AISI 12CS4x105 section (stud section with lips) is subject to 500 kN of tensile force. The material is steel with a fy = 450 MPa and fu = 500 MPa. Assume that the full section is avaialble (i.e., no reduction for net area).

Section Properties

From reference #2:

  • Thickness, t = 2.67 mm (0.105 in)
  • Full area of section, Af = 1,420 mm2 (2.20 in2)

Calculations

Calculations

Tension Yielding

(3.2.2(1))

Capacity ratio for tension yielding

Tension Rupture

(3.2.2(2))

Capacity ratio for tension yielding

Results

Table 1. Comparison of results
Result Type Reference STAAD.Pro Difference Comments
Tension yielding capacity, ϕNt (kN) 574.8 574.838 negligible
Ratio for tension yielding 0.870 0.870 none
Tension rupture capacity (kN) 542.9 542.902 negligible
Ratio for tension rupture 0.921 0.921 none

Input

The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples\Verification Models\09 Steel Design\Australia\AS4600 2018 - C With Lips Tension Check.STD is typically installed with the program.

The following design parametersdesign parameters are used:

  • The steel yield strength is directly specified: FYLD 450000 and FU 500000

STAAD

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 23-Jun-24
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 2 0 0;
MEMBER INCIDENCES
1 2 1;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2e+08
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
ISOTROPIC STEEL_50_KSI
E 1.99947e+08
POISSON 0.3
DENSITY 76.8191
ALPHA 6.5e-06
DAMP 0.03
G 7.7221e+07
TYPE STEEL
STRENGTH FY 344736 FU 427473 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY 'US Cold Formed (AISI 2023).db3'
1 TABLE 'C With Lips' ST '12CS4x105'
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
2 FIXED BUT FX MY MZ
LOAD 2 LOADTYPE None  TITLE LOAD CASE 2
JOINT LOAD
2 FX 500
PERFORM ANALYSIS
PARAMETER 1
CODE AS NZS 4600 2018
FYLD 450000 ALL
FU 500000 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH

Output

--------------------------------------------------------------------------------
                     ***STAAD.PRO DESIGN RESULTS SUMMARY***
                        Code: AS/NZS 4600:2018 [v1.0]                           
                All units are in kN-m unless otherwise noted                    
--------------------------------------------------------------------------------
--------------------------------------------------------------------------------
    MEMBER: 1                     PROFILE: 12CS4x105                            
   CRITICAL RATIO: 9.210E-1 | STATUS: PASS | GOVERNING CRITERIA: STRENGTH       
--------------------------------------------------------------------------------
   STRENGTH:                                                                    
   Status: PASS                 Ratio:  0.921                Loadcase: 2        
   Location: 0.0                Reference: Eq. 3.2.1                            
   Fx:  500.000                 Fy: 0.0                      Fz: 0.0            
   Mx: 0.0                      My: 0.0                      Mz: 0.0            
--------------------------------------------------------------------------------
   SECTION PROPERTIES:                                                          
   Ag:  0.142E-02                                                               
   Ix:  0.336E-08               Iy:  0.178E-05               Iz:  0.198E-04     
   Sy:  0.237E-04               Sz:  0.130E-03               Cw:  0.328E-07     
--------------------------------------------------------------------------------
   SLENDERNESS RATIO:                                                           
   Ratio:  0.283               Actual:   56.5              Allowable:  200.000  
   Ky.Ly/ry:   56.5             Ky:   1.00                   Ly:   2.00         
   Kz.Lz/rz:   16.9             Kz:   1.00                   Lz:   2.00         
--------------------------------------------------------------------------------
   DIMENSIONAL:                                                                 
   Web depth to thickness ratio:                                                
   Ratio:  0.544 [PASS]        Actual:  108.714            Allowable:  200.000  
   Width to thickness ratio:                                                    
   Ratio:  0.542 [PASS]        Actual:   32.5              Allowable:   60.0    
   Stiffened width to thickness ratio:                                          
   Ratio:  0.542 [PASS]        Actual:   32.5              Allowable:   60.0    
--------------------------------------------------------------------------------
   TENSION:                                                                     
   (Gross Section) Yielding:                                                    
   Ratio:  0.870            Demand:  500.000            Capacity:  574.838       
   Ref.: Eq. 3.2.1                     LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal section capacity, Nt:  638.708                                       
   (Net Section) Rupture:                                                       
   Ratio:  0.921            Demand:  500.000            Capacity:  542.902       
   Ref.: Eq. 3.2.1                     LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Net area, An:  0.142E-02                                                     
   Nominal section capacity, Nt:  603.225                                       
--------------------------------------------------------------------------------
      STAAD SPACE                                              -- PAGE NO.    4 
--------------------------------------------------------------------------------
                     ***STAAD.PRO DESIGN RESULTS SUMMARY***
                        Code: AS/NZS 4600:2018 [v1.0]                           
                All units are in kN-m unless otherwise noted                    
--------------------------------------------------------------------------------
   ***Contd. Member: 1 | Ratio: 9.210E-1 [P] | Profile: 12CS4x105               
   COMPRESSION:                                                                 
   Member Capacity:                                                             
   Ratio: 0.0               Demand: 0.0                 Capacity:  219.265      
   Ref.: Cl. 3.4.1                     LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal member capacity, Nc:  257.959                                        
   Effective area, Ae:  0.795E-03                                               
   Critical stress, fn:   3.24E+05                                              
   Flexural/torsional stress, foc:   5.76E+05                                   
   Section Capacity:                                                            
   Ratio: 0.0               Demand: 0.0                 Capacity:  269.443      
   Ref.: Cl. 3.4.1                     LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal section capacity, Ns:  316.992                                       
   Effective area, Ae:  0.704E-03                                               
   Distortional Member Capacity:                                                
   Ratio: 0.0               Demand: 0.0                 Capacity:  234.159      
   Ref.: Cl. 3.4.1                     LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal member capacity, Nc:  275.481                                        
   Distortional buckling stress, fod:   1.52E+05                                
   α1:  0.310E-06                                                             
   α2:  0.404E-05                                                             
   α3:  0.103E-11                                                             
--------------------------------------------------------------------------------
      STAAD SPACE                                              -- PAGE NO.    5 
--------------------------------------------------------------------------------
                     ***STAAD.PRO DESIGN RESULTS SUMMARY***
                        Code: AS/NZS 4600:2018 [v1.0]                           
                All units are in kN-m unless otherwise noted                    
--------------------------------------------------------------------------------
   ***Contd. Member: 1 | Ratio: 9.210E-1 [P] | Profile: 12CS4x105               
   FLEXURE:                                                                     
   (Local Z) Section Capacity:                                                  
   Ratio: 0.0               Demand: 0.0                 Capacity:   44.9        
   Ref.: Eq. 3.3.1(1)                  LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal section capacity, Ms:   47.3                                         
   Effective section modulus, Ze:  0.105E-03                                    
   (Local Z) Member Capacity:                                                   
   Ratio: 0.0               Demand: 0.0                 Capacity:   41.7        
   Ref.: Eq. 3.3.1(2)                  LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal member capacity, Mb:   46.3                                          
   Effective section modulus, Zc:  0.107E-03                                    
   Full unreduced section modulus, Zf:  0.130E-03                               
   Critical moment, Mc:   56.0                                                  
   Moment for section yielding, My:   58.4                                      
   Elastic buckling moment, Mo:  120.027                                        
   (Local Y) Section Capacity:                                                  
   Ratio: 0.0               Demand: 0.0                 Capacity:   9.24        
   Ref.: Eq. 3.3.1(1)                  LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal section capacity, Ms:   9.72                                         
   Effective section modulus, Ze:  0.216E-04                                    
   Distortional Member Capacity:                                                
   Ratio: 0.0               Demand: 0.0                 Capacity:   35.7        
   Ref.: Eq. 3.3.1(2)                  LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal member capacity, Mb:   39.7                                          
   Distortional buckling stress, fod:   3.11E+05                                
   α1:  0.602E-06                                                             
   α2:  0.572E-05                                                             
   α3:  0.299E-11                                                             
   Reduced Member Capacity:                                                     
   Ratio: 0.0               Demand: 0.0                 Capacity:   36.2        
   Ref.: Eq. 3.3.1(2)                  LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal member capacity, Mb:   40.2                                          
   Reduction factor, R:  0.850                                                  
--------------------------------------------------------------------------------
      STAAD SPACE                                              -- PAGE NO.    6 
--------------------------------------------------------------------------------
                     ***STAAD.PRO DESIGN RESULTS SUMMARY***
                        Code: AS/NZS 4600:2018 [v1.0]                           
                All units are in kN-m unless otherwise noted                    
--------------------------------------------------------------------------------
   ***Contd. Member: 1 | Ratio: 9.210E-1 [P] | Profile: 12CS4x105               
   SHEAR:                                                                       
   (Local Z) Shear Capacity:                                                    
   Ratio: 0.0               Demand: 0.0                 Capacity:  119.926      
   Ref.: Cl. 3.3.4.1                   LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal shear capacity, Vv:  133.251                                         
   Shear buckling coefficient, kv:   5.34                                       
   Depth of flat portion of web, d1:  0.867E-01                                 
   (Local Y) Shear Capacity:                                                    
   Ratio: 0.0               Demand: 0.0                 Capacity:   56.9        
   Ref.: Cl. 3.3.4.1                   LoadCase: 2               Section: 1     
   Intermediate results:                                                        
   Nominal shear capacity, Vv:   63.2                                           
   Shear buckling coefficient, kv:   5.34                                       
   Depth of flat portion of web, d1:  0.290                                     
--------------------------------------------------------------------------------
   INTERACTION:                                                                 
   Flexure-Tension (Reduced):                                                   
   Ratio:  0.921                                                                
   Ref.: Eq. 3.5.2(1)                  LoadCase: 2               Section: 1     
   Flexure-Tension (Unreduced):                                                 
   Ratio:  0.921                                                                
   Ref.: Eq. 3.5.2(2)                  LoadCase: 2               Section: 1     
--------------------------------------------------------------------------------