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.
Fx = 5 kN
Fy = -15 kN
Fz = 5 kN
Mx = 10 kN·m
My = -6.667 kN·m
The member is steel with the following material properties:
E = 205,000 MPa
Fy = 200 MPa
The section forces at the fixed-end of the left cantilever are taken from the STAAD.Pro analysis:
Fx = -5 kN
Fy = -15 kN
Fz = -5 kN
Mx = -10 kN·m
My = 15 kN·m
Mz = 25 kN·m
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 |
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples \Verification Models\09 Steel Design\Japan\AIJ 2005 Check for MISES parameter.std is typically installed with the program.
- The standard AIJ calculation for the von Mises stresses is used per the MISES 1 parameter.
- A steel yield strength of 200 GPa is specified using the FYLD 200000 parameter.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 28-Apr-15
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 1.667 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
CONSTANTS
MATERIAL STEEL ALL
MEMBER PROPERTY AMERICAN
1 TABLE D C12X30 SP 0.1
SUPPORTS
1 FIXED
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
JOINT LOAD
2 FX 5 FY -15 FZ 5 MX 10 MY -6.6667
PERFORM ANALYSIS PRINT STATICS LOAD
PRINT ANALYSIS RESULTS
PRINT MEMBER PROPERTIES ALL
PARAMETER 1
CODE JAPANESE 2005
MISES 1 MEMB 1
FYLD 200000 ALL
TRACK 2 MEMB 1
CHECK CODE MEMB 1
FINISH
STAAD.Pro Output
STAAD.Pro CODE CHECKING - (AIJ-2005) V2.1 *********************** ALL UNITS ARE IN - METE KN (U.N.O.) |-----------------------------------------------------------------------------| | Member No: 1 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: 15.002 Mz: 25.005 | |-----------------------------------------------------------------------------| | 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: 1.667 Lz: 1.667 Ly: 1.667 UNL: 1.667 | | DESIGN PARAMETERS | | Kz: 1.000 Ky: 1.000 NSF: 1.000 Cb: 0.000 pλb: 0.000 | |-----------------------------------------------------------------------------| | CRITICAL SLENDERNESS (Tension) | | Actual : 23.863 Allowable : 400.000 Ratio : 0.060 | |-----------------------------------------------------------------------------| | 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 | - | - | - | - | - | 129.59| - | Eq.5.3 | | Bending Z (T)| 0.000| 25.00| 1| P | 28.26| 133.33| 0.212| Eq.5.1 | | Bending Z (C)| 0.000| 25.00| 1| P | 28.26| 131.65| 0.215| Eq.5.7 | | Bending Y (T)| 0.000| 15.00| 1| P | 35.30| 133.33| 0.265| Eq.5.1 | | Bending Y (C)| 0.000| 15.00| 1| P | 35.30| 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 | - | - | 0.479| 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 | - | - | 0.476| Eq.6.4 | | Von-Mises | 0.000| - | 1| P | 346.17| 133.33| 2.596| Eq.5.24 | | | | INTERMEDIATE RESULTS (Bending) | | Me: 3.7016E+03 KN-MET My: 1.7698E+02 KN-MET pλb: 0.600 C: 1.750 | | | | INTERMEDIATE RESULTS (Von-Mises) | | Sigmax: 63.993 N/mm2 Tou: 196.415 N/mm2 fm: 346.167 N/mm2 | |-----------------------------------------------------------------------------|