V. AS4100 2020 - L Nominal Section Compression Capacity
Verify the compression capacity of a single angle section per the AS4100:2020 code.
References
-
澳大利亚标准委员会 BD-001。Steel structures AS 4100-2020。 Homebush, NSW。2020。
- Liberty Steel. Hot Rolled and Structural Steel Products. Ninth Edition. October, 2019. Liberty OneSteel Pty. Sydney, NSW, Australia. https://www.infrabuild.com/resources/product-guides-resources/hot-rolled-structural-steel-products-catalogue/ p.17-18
Details
A 9 m long, simply-supported member is subjected to transverse concentrated loads of 8.4 kN at 1.5m away from each support as well as an axial compressive load of 150 kN. The member section is a single 200 x 200 x 13 with a steel yield strength of 450 MPa.
Section Properties
From reference #2:
- Depth, b1 = 200 mm
- Thickness, t = 13 mm
- Gross area of section, Ag = 5,090 mm2
Material Properties
- Yield strength, fy = 450 MPa
- Modulus of elasticity, E = 200,000 MPa
Calculations
Calculations
Slenderness
The yielding slenderness limit, λey = 16 for HR residual stress per Table 6.2.4.
Effective length of legs in compression:
Form factor,
ϕNs = 0.90 (1,916) =
1,725 kN·m
Capacity ratio for bending about the y axis:
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| Section compression capacity, ϕNs (kN) | 1,725 | 1,724.8 | negliglbe | |
| Capacity ratio for compression | 0.087 | 0.087 | none |
Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples\Verification Models\09 Steel Design\Australia\AS4100 2020 - L Nominal Section Compression Capacity.std is typically installed with the program.
The following design parametersdesign parameters are used:
- The steel yield strength is directly specified:
FYLD 450 - Hot-rolled section for stress relief (HR) is specified using
IST 2 - The 9 m physical member is modelled using three 3 m long analytical segments
STAAD
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 10-June-24
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 3 0 0; 3 6 0 0; 4 9 0 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4;
DEFINE PMEMBER
1 TO 3 PMEMBER 1
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+08
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-05
DAMP 0.03
TYPE STEEL
STRENGTH FY 253200 FU 407800 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY 'AUSTRALIA (AS 2024).DB3'
1 TO 3 TABLE 'ANGLE EQUAL' ST '200 X 200 X 13 EA'
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
4 FIXED BUT FX MY MZ
PRINT ALL
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
1 3 CON GZ -8.4
JOINT LOAD
4 FX -150
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
PARAMETER 1
CODE AS4100 2020
FYLD 450000 PMEMB 1
IST 2 PMEMB 1
TRACK 2 PMEMB 1
MAIN 1 PMEMB 1
CHECK CODE PMEMB ALL
FINISH
Output
STAAD.Pro CODE CHECKING - ( AS4100-2020 )
************************************************
ALL UNITS ARE IN - KN MET UNLESS OTHERWISE Noted
**DESIGN Notes**
------------
1. (*) next to a Load Case number signifies that a P-Delta analysis has not been performed for
that particular Load Case; i.e. analysis does not include second-order effects.
2. ϕ = 0.9 for all the calculations [AS4100 Table 3.4]
3. (#) next to Young's modulus E indicates that its value is not 200000 MPa as per AS4100 1.4.
- PMember : 1
|-----------------------------------------------------------------------------|
| PMember No: 1 PROFILE: ST 200 X 200 X 13 EA (STANDARD SECTI|NS)
| STATUS: PASS RATIO: 0.956 LOADCASE: 1* |
| LOCATION: 0.00 CRITERIA: COMPRESSION |
| FX: 150.000 C VY: 0.00000 VZ: 8.40000 |
| MX: 0.00000 MY: 0.00000 MZ: 0.00000 |
|-----------------------------------------------------------------------------|
| SLENDERNESS |
| Actual Slenderness : 0.000 |
| Allowable Slenderness: 0.000 |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES (Unit:mm) |
| Ag : 5.0900E+03 Azz : 1.7333E+03 Ayy : 1.7333E+03 |
| Izz : 8.0628E+06 Iyy : 31.3094E+06 J : 286.7367E+03 |
| Szz : 172.7391E+03 Syy : 344.3131E+03 Iw : 0.0000E+00 |
| Zzz : 105.2180E+03 Zyy : 221.3910E+03 |
| rz : 39.8000E+00 ry : 78.4294E+00 |
|-----------------------------------------------------------------------------|
| Material PROPERTIES (Unit:MPa) |
| Material Standard : AS/NZS 3679.1 |
| Nominal Grade : 300 |
| Residual Stress Category : HR (Hot-rolled) |
| E (#) : 205.0000E+03 G : 80.00E+03 |
| Fy(Flange): 449.9999E+00 Fy(Web): 449.9999E+00 Fu: 440.0000E+00|
|-----------------------------------------------------------------------------|
| Actual Member Length: 9.000 |
| Design Parameters |
| KZ : 1.00 KY : 1.00 NSF 1.00 PHI 0.90 |
| SKL: 1.00 SKT: 1.00 SKR 1.00 |
|-----------------------------------------------------------------------------|
| SECTION CLASSIFICATION |
| Z - Axis : Noncompact Y - Axis : Noncompact |
|-----------------------------------------------------------------------------|
STAAD SPACE -- PAGE NO. 12
STAAD.Pro CODE CHECKING - ( AS4100-2020 )
************************************************
|-----------------------------------------------------------------------------|
| CHECKS FOR AXIAL TENSION |
|-----------------------------------------------------------------------------|
| Section Tension Capacity: |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 0.0000E+00 1.7133E+03 0.000 Cl:7.2 1* 0.00 |
| Intermediate Results : |
| Net Area (An) : 5.0900E+03mm^2 Correction Factor (Kt) : 1.00|
|-----------------------------------------------------------------------------|
| CHECKS FOR AXIAL COMPRESSION |
|-----------------------------------------------------------------------------|
| Section Compression Capacity: |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 150.0000E+00 1.7248E+03 0.087 Cl:6.2.1 1* 0.00 |
| Intermediate Results : |
| Net Area (An) : 5.0900E+03mm^2 |
| Effective Area (Ae) : 4.2589E+03mm^2 Ref : Cl. 6.2.3 / 6.2.4 |
| Form Factor (Kf) : 0.837 Ref : Cl. 6.2.2 |
|-----------------------------------------------------------------------------|
| Member Compression Capacity: Z - Axis |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 150.0000E+00 156.8641E+00 0.956 Cl:6.3.3 1* 0.00 |
| Intermediate Results : |
| Effective Length (Lez): 9.00 m |
| ab : 1.0000 Table 6.3.3(1)/6.3.3(2) |
| ln,z : 277.5139 AS 4100, 6.3.3 |
| aa,z : 7.4104 AS 4100, 6.3.3 |
| l,z : 284.9243 AS 4100, 6.3.3 |
| h,z : 0.8848 AS 4100, 6.3.3 |
| x,z : 0.5940 AS 4100, 6.3.3 |
| ac,z : 0.0909 AS 4100, 6.3.3 |
|-----------------------------------------------------------------------------|
| Member Compression Capacity: Y - Axis |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 150.0000E+00 481.8351E+00 0.311 Cl:6.3.3 1* 0.00 |
| Intermediate Results : |
| Effective Length (Ley): 9.00 m |
| ab : 1.0000 Table 6.3.3(1)/6.3.3(2) |
| ln,y : 140.8281 AS 4100, 6.3.3 |
| aa,y : 13.5539 AS 4100, 6.3.3 |
| l,y : 154.3819 AS 4100, 6.3.3 |
| h,y : 0.4593 AS 4100, 6.3.3 |
| x,y : 0.7480 AS 4100, 6.3.3 |
| ac,y : 0.2793 AS 4100, 6.3.3 |
|-----------------------------------------------------------------------------|
STAAD SPACE -- PAGE NO. 13
STAAD.Pro CODE CHECKING - ( AS4100-2020 )
************************************************
|-----------------------------------------------------------------------------|
| CHECKS FOR SHEAR |
|-----------------------------------------------------------------------------|
| Section Shear Capacity: Z - Axis |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 8.4000E+00 421.2000E+00 0.020 Cl:5.11.2 1* 0.25 |
| Intermediate Results : |
| Combined Shear Capacity (fVvmz) : 421.2000E+00 Ref : 5.12.3 |
|-----------------------------------------------------------------------------|
| Section Shear Capacity: Y - Axis |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 0.0000E+00 421.2000E+00 0.000 Cl:5.11.2 1* 0.25 |
| Intermediate Results : |
| Combined Shear Capacity (fVvmy) : 421.2000E+00 Ref : 5.12.3 |
|-----------------------------------------------------------------------------|
| CHECKS FOR BENDING |
|-----------------------------------------------------------------------------|
| Section Bending Capacity: Z - Axis |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 0.0000E+00 50.2051E+00 0.000 Cl:5.2.1 1* 1.50 |
| Intermediate Results : |
| Eff. Section Modulus (Zez): 123.9633E-06 |
|-----------------------------------------------------------------------------|
| Section Bending Capacity: Y - Axis |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 12.6000E+00 105.6375E+00 0.119 Cl:5.2.1 1* 1.50 |
| Intermediate Results : |
| Eff. Section Modulus (Zey): 260.8333E-06 |
|-----------------------------------------------------------------------------|
| Member Bending Capacity: |
| DEMAND CAPACITY RATIO REFERENCE L/C LOC |
| 0.0000E+00 33.0131E+00 0.000 Cl:5.6.1.1(a) 1* 0.25 |
| Intermediate Results : |
| Twist Restraint Factor (kt) : 1.00 Table 5.6.3(1) |
| Load Height Factor (kl) : 1.00 Table 5.6.3(2) |
| Lat. Rot. Restraint Factor (kr) : 1.00 Table 5.6.3(3) |
| Effective Length (le) : 9.00 5.6.3 |
| Moment Modification Factor (am) : 1.00 5.6.1.1(a)(iii) |
| Reference Buckling Moment (Mo) : 67.9693E+00 5.6.1.2(a) |
| Slenderness Reduction Factor(asz) : 0.658 5.6.1.1(a)(iv) |
|-----------------------------------------------------------------------------|
STAAD SPACE -- PAGE NO. 14
STAAD.Pro CODE CHECKING - ( AS4100-2020 )
************************************************
|-----------------------------------------------------------------------------|
| CHECKS FOR COMBINED INTERACTION |
|-----------------------------------------------------------------------------|
| Section Combined Capacity: |
| RATIO REFERENCE L/C LOC |
| 0.206 Cl 8.3.4 1* 1.50 |
| Intermediate Results : |
| Axial Capacity (fNs/fNt) : 1.7248E+03 8.3.1 |
| Section Moment Capacity (fMsz) : 50.2051E+00 5.2.1 |
| Section Moment Capacity (fMsy) : 105.6375E+00 5.2.1 |
| Reduced Section Moment Capacity (fMrz) : 45.8391E+00 8.3.2 |
| Reduced Section Moment Capacity (fMry) : 96.4508E+00 8.3.3 |
|-----------------------------------------------------------------------------|
| Member Combined Capacity: In-plane |
| RATIO REFERENCE L/C LOC |
| 0.173 Cl:8.4.2.2 1* 1.50 |
| Intermediate Results : |
| Axial Capacity (fNcz) : 156.8641E+00 8.4.2.2 |
| Axial Capacity (fNcy) : 481.8351E+00 8.4.2.2 |
| Moment Capacity (fMiz) : 2.1969E+00 8.4.2.2 |
| Moment Capacity (fMiy) : 72.7515E+00 8.4.2.2 |
|-----------------------------------------------------------------------------|
| Member Combined Capacity: Biaxial(Comp) |
| RATIO REFERENCE L/C LOC |
| 0.086 Cl:8.4.5.1 1* 1.50 |
| Intermediate Results : |
| Moment Capacity (fMcz) : 2.1969E+00 8.4.5.1 |
| Moment Capacity (fMiy) : 72.7515E+00 8.4.5.1 |
|-----------------------------------------------------------------------------|