V. AIJ 2005 Check for MISES parameter
Verify the Von Mises stresses per the AIJ 2005 code of a beam in a frame.
Details
A cantilever beam is subject to the following forces at the free end. The cantilever member is a pair of C12X30, back-to-back.
The member is steel with the following material properties:
The section forces at the fixed-end of the left cantilever are taken from the STAAD.Pro analysis:
Calculations
Validation
From the section forces, σx and τxy at the cross-section at the fixed end are calculated:
From these, the Von Mises stress, fm , is calculated as:
For permanent loading conditions, k = 1 and ft = Fy/1.5 = 133.3 N/mm2
The ratio = fm / (k × ft ) = 346.17 / (1 × 133.3) = 2.596
Results
| Result Type | Reference | STAAD.Pro | Difference | Comments |
|---|---|---|---|---|
| σx (N/mm2) | 63.98 | 63.993 | negligible | |
| τxy (N/mm2) | 196.4 | 196.415 | negligible | |
| fm (N/mm2) | 346.17 | 346.167 | negligible | |
| ft (N/mm2) | 133.3 | 133.33 | negligible | |
| Ratio | 2.596 | 2.596 | none |
Input
The file C:\Users\Public\Public Documents\STAAD.Pro 2026\Samples \Verification Models\09 Steel Design\Japan\AIJ 2005 Check for MISES parameter.std is typically installed with the program.
The following design parametersdesign parameters are used:
- The standard AIJ calculation for the von Mises stresses is used per the
MISES 1parameter. - A steel yield strength of 200 GPa is specified using the
FYLD 200000parameter.
STAAD
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 28-Apr-15
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 3 0 0; 2 3 5 0; 3 7 5 0; 4 7 0 0; 5 0 5 0; 6 10 5 0;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4; 4 2 5; 5 3 6;
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
CONSTANTS
MATERIAL STEEL ALL
MEMBER PROPERTY AMERICAN
4 5 TABLE D C12X30 SP 0.1
1 TO 3 TABLE ST W5X16
SUPPORTS
1 4 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
2 UNI GY -20
4 5 UNI GY -10 1 2
JOINT LOAD
5 FX -5 FY -5 FZ 5 MX -5
6 FX 5 FY -5 FZ 5 MX 5
MEMBER LOAD
4 CMOM GX -5 1.5
4 CMOM GZ -5 1.5
5 CMOM GX 5 1.5
5 CMOM GZ 5 1.5
PERFORM ANALYSIS PRINT STATICS LOAD
PRINT ANALYSIS RESULTS
PRINT MEMBER PROPERTIES ALL
PARAMETER 1
CODE JAPANESE 2005
MISES 1 MEMB 4 5
FYLD 200000 ALL
TRACK 2 MEMB 4 5
CHECK CODE MEMB 4 5
FINISH
Output
STAAD.Pro CODE CHECKING - (AIJ-2005) V2.1
***********************
ALL UNITS ARE IN - METE KN (U.N.O.)
|-----------------------------------------------------------------------------|
| Member No: 4 Profile:D C12X30 (AISC SECTIONS) |
| Ratio: 2.596 (FAIL) Reference: Eq.5.24 Loadcase: 1 |
|-----------------------------------------------------------------------------|
| Location: 0.000 Criteria: Stress Load Case: 1 (Permanent)|
| Px:(T) -5.000 Vy: 15.000 Vz: 5.000 |
| Tx: -10.000 My: -15.000 Mz: 25.000 |
|-----------------------------------------------------------------------------|
| SECTION PROPERTIES AT DISTANCE: 0.000 MM (UNIT: MM) |
| Ax: 1.13677E+04 Az: 2.73233E+03 Ay: 7.89676E+03 |
| Iz: 1.34859E+08 Iy: 5.54743E+07 J: 6.56703E+05 |
| Zz: 8.84901E+05 Zy: 4.25031E+05 Zx: 5.16057E+04 |
| iZ: 1.08919E+02 iY: 6.98569E+01 Iw: 8.08857E+10 |
|-----------------------------------------------------------------------------|
| MATERIAL PROPERTIES (Unit: N/mm2) |
| Fy: 200.000 E : 205000.000 G : 79000.000 |
|-----------------------------------------------------------------------------|
| DESIGN PROPERTIES |
| Member Length: 3.000 Lz: 3.000 Ly: 3.000 UNL: 3.000 |
| DESIGN PARAMETERS |
| Kz: 1.000 Ky: 1.000 NSF: 1.000 Cb: 0.000 pλb: 0.000 |
|-----------------------------------------------------------------------------|
| CRITICAL SLENDERNESS (Tension) |
| Actual : 42.945 Allowable : 400.000 Ratio : 0.107 |
|-----------------------------------------------------------------------------|
| Section Classification Results : Width to Thickness Ratios |
|-----------------------------------------------------------------------------|
| Compression | Bending |
|-----------------------------------------------------------------------------|
| LC# | Actual | Allowable | LC# | Actual | Allowable |
|-----------------------------------------------------------------------------|
| - | - | - | 1 | 10.7824 | 76.8375 |
|-----------------------------------------------------------------------------|
| CHECKS |Env| Stresses | |
| | Loc. | Demand | L/C |Typ| Actual | Allow |Ratio | Ref. |
| |(MET) |(KN-MET)| | |(N/mm2) |(N/mm2) | | |
|--------------|------|--------|------|---|--------|--------|------|----------|
| Tension | 0.000| -5.00| 1| P | 0.44| 133.33| 0.003| Eq.5.1 |
| Compression | - | - | - | - | - | 121.59| - | Eq.5.3 |
| Bending Z (T)| 0.000| 25.00| 1| P | 28.25| 133.33| 0.212| Eq.5.1 |
| Bending Z (C)| 0.000| 25.00| 1| P | 28.25| 129.59| 0.218| Eq.5.7 |
| Bending Y (T)| 0.000| -15.00| 1| P | 35.29| 133.33| 0.265| Eq.5.1 |
| Bending Y (C)| 0.000| -15.00| 1| P | 35.29| 133.33| 0.265| Eq.5.1 |
| Shear Z | 0.000| 5.00| 1| P | 1.83| 76.98| 0.024| Eq.5.2 |
| Shear Y | 0.000| 15.00| 1| P | 1.90| 76.98| 0.025| Eq.5.2 |
| Comp+ Bend C | 0.000| - | 1| P | - | - | 0.483| Eq.6.1 |
| Comp+ Bend T | 0.000| - | 1| P | - | - | 0.477| Eq.6.2 |
| Ten + Bend T | 0.000| - | 1| P | - | - | 0.480| Eq.6.3 |
| Ten + Bend C | 0.000| - | 1| P | - | - | 0.479| Eq.6.4 |
| Von-Mises | 0.000| - | 1| P | 346.16| 133.33| 2.596| Eq.5.24 |
| |
| INTERMEDIATE RESULTS (Bending) |
| Me: 1.6358E+03 KN-MET My: 1.7698E+02 KN-MET pλb: 0.600 C: 1.750 |
| |
| INTERMEDIATE RESULTS (Von-Mises) |
| Sigmax: 63.983 N/mm2 Tou: 196.415 N/mm2 fm: 346.165 N/mm2 |
|-----------------------------------------------------------------------------|