V. AIJ 2002 Check for MISES parameter
Verify the von Mises stress calculations per the AIJ 2002 code using a cantilever beam.
Details
Japanese Angle section L250X250X35, E = 205,000 MPa, Fy = 200 MPa
- Fx = 10 kN
- Vz = 5 kN
- Vy = 5 kN
- T = 5 kN·m
Calculations
Verification
The maximum of the left-hand side of the von Mises stress equation apparently occurs at the fixed support of the beam. Section forces at the fixed end are calculated as below.
- FX = -10 KN
- FY = -5 KN
- FZ = -5 KN
- MX = -5 KN-m
- MY = 25 KN-m
- MZ = -25 KN-m
The standard AIJ calculation is used (MISES 1).
From these section forces, σx
and τxy
at the section of the fixed end are calculated:
From σx and τxy , fm is calculated:
For permanent loading, k = 1 and ft = fy/1.5 = 133.33 N/mm2
Therefore, the ratio = fm/k×ft = 111.419/(1 × 133.33) = 0.836
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| fm (N/mm2) | 111.42 | 111.42 | none | |
| ft (N/mm2) | 133.33 | 133.33 | none | |
| σx (N/mm2) | 100.668 | 100.669 | negligible | |
| τxy (N/mm2) | 27.57 | 27.57 | none | |
| Ratio | 0.836 | 0.836 | none |
Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples \Verification Models\09 Steel Design\Japan\AIJ 2002 Check for MISES parameter.std is typically installed with the program.
The following design parametersdesign parameters are used:
- The steel strengh of 200 GPa is directly specified using the
FYLDparameter. - The standard method for checking the von Mises stresses per
AIJ 2002 is inidcated by
MISES 1.
STAAD
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 27-Apr-15
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 5 0 0;
MEMBER INCIDENCES
1 1 2;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+008
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-005
DAMP 0.03
END DEFINE MATERIAL
MEMBER PROPERTY JAPANESE
1 TABLE ST L250X250X35
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FX 10 FY 5 FZ 5 MX 5
PERFORM ANALYSIS PRINT STATICS LOAD
PRINT MEMBER PROPERTIES ALL
PRINT ANALYSIS RESULTS
PARAMETER 1
CODE JAPANESE 2002
FYLD 200000 ALL
MISES 1 ALL
TRACK 2 ALL
CHECK CODE ALL
FINISH
Output
STAAD.Pro CODE CHECKING - (AIJ-2002) V2.1
***********************
ALL UNITS ARE IN - METE KN (U.N.O.)
|-----------------------------------------------------------------------------|
| Member No: 1 Profile:ST L250X250X35 (JAPANESE SECTIONS) |
| Ratio: 0.836 (PASS) Reference: Eq.5.16 Loadcase: 1 |
|-----------------------------------------------------------------------------|
| Location: 0.000 Criteria: Stress Load Case: 1 (Permanent)|
| Px:(T) -10.000 Vy: -5.000 Vz: -5.000 |
| Tx: -5.000 My: 25.000 Mz: -25.000 |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES AT DISTANCE: 0.000 MM (UNIT: MM) |
| Ax: 1.62600E+04 Az: 5.83333E+03 Ay: 5.83333E+03 |
| Iz: 3.79328E+07 Iy: 1.48256E+08 J: 6.63950E+06 |
| Zz: 3.55901E+05 Zy: 8.38661E+05 Zx: 1.89700E+05 |
| iZ: 4.83000E+01 iY: 9.54873E+01 Iw: 2.99365E+10 |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES (Unit: N/mm2) |
| Fy: 200.000 E : 205000.000 G : 79000.000 |
|-----------------------------------------------------------------------------|
| DESIGN PROPERTIES |
| Member Length: 5.000 Lz: 5.000 Ly: 5.000 UNL: 5.000 |
| DESIGN PARAMETERS |
| Kz: 1.000 Ky: 1.000 NSF: 1.000 Cb: 0.000 |
|-----------------------------------------------------------------------------|
| CRITICAL SLENDERNESS (Tension) |
| Actual : 103.520 Allowable : 400.000 Ratio : 0.259 |
|-----------------------------------------------------------------------------|
| Section Classification Results : Width to Thickness Ratios |
|-----------------------------------------------------------------------------|
| Compression | Bending |
|-----------------------------------------------------------------------------|
| LC# | Actual | Allowable | LC# | Actual | Allowable |
|-----------------------------------------------------------------------------|
| - | - | - | 1 | 7.1429 | 14.1421 |
|-----------------------------------------------------------------------------|
| CHECKS |Env| Stresses | |
| | Loc. | Demand | L/C |Typ| Actual | Allow |Ratio | Ref. |
| |(MET) |(KN-MET)| | |(N/mm2) |(N/mm2) | | |
|--------------|------|--------|------|---|--------|--------|------|----------|
| Tension | 0.000| -10.00| 1| P | 0.62| 133.33| 0.005| Eq.5.1 |
| Compression | - | - | - | - | - | 77.53| - | Eq.5.3 |
| Bending Z (T)| 0.000| -25.00| 1| P | 70.24| 133.33| 0.527| Eq.5.1 |
| Bending Z (C)| 0.000| -25.00| 1| P | 70.24| 133.33| 0.527| Eq.5.1 |
| Bending Y (T)| 0.000| 25.00| 1| P | 29.81| 133.33| 0.224| Eq.5.1 |
| Bending Y (C)| 0.000| 25.00| 1| P | 29.81| 133.33| 0.224| Eq.5.1 |
| Shear Z | 0.000| -5.00| 1| P | 0.86| 76.98| 0.011| Eq.5.2 |
| Shear Y | 0.000| -5.00| 1| P | 0.86| 76.98| 0.011| Eq.5.2 |
| Comp+ Bend C | 0.000| - | 1| P | - | - | 0.750| Eq.6.1 |
| Comp+ Bend T | 0.000| - | 1| P | - | - | 0.750| Eq.6.2 |
| Ten + Bend T | 0.000| - | 1| P | - | - | 0.755| Eq.6.3 |
| Ten + Bend C | 0.000| - | 1| P | - | - | 0.746| Eq.6.4 |
| Von-Mises | 0.000| - | 1| P | 111.42| 133.33| 0.836| Eq.5.16 |
| |
| INTERMEDIATE RESULTS (Bending) |
| C: 0.000 |
| |
| INTERMEDIATE RESULTS (Von-Mises) |
| Sigmax: 100.669 N/mm2 Tou: 27.570 N/mm2 fm: 111.420 N/mm2 |
|-----------------------------------------------------------------------------|