V. AS4100 1998 - Bending Capacity
To check the bending capacity of the UB shape per AS4100-1998.
Reference
Gorenc,B., R.Tinyou and A.Syam, Steel Designer's Handbook, 8th edition, UNSW Press,
problem 5.3, page 112.
Problem
Check the suitability of a 360UB50.7 Grade 300 for the beam in Example 5.2 of the reference. This solution relies mainly on AS 4100 and minimally on AISC [1999a], for example, to get basic section properties. Omit deflection checks.
Comparison
| Result Type | Theory | STAAD.Pro | Difference |
|---|---|---|---|
| Bending capacity, Mnz (kN·m) | 138 | 137.5 | 0.3% |
| Bending moment (kN·m) | 125 | 124.7 | 0.2% |
| Utilization ratio | 0.906 | 0.907 | 0.1% |
The reference book does not compute the ratio.
STAAD Input
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\Australia\AS4100 1998 - Bending Capacity.STD is typically installed with the program.
STAAD PLANE BENDING CAPACITY PER AS4100 1998
*
* REFERENCE : Steel Designer's Handbook, B.Gorenc, R.Tinyou and A.Syam,
* 8th edition, example problem 5.3, page 112
*
* OBJECTIVE : TO DETERMINE THE ADEQUACY OF A UB SHAPE IN BENDING PER
* THE AS4100-1998 CODE
*
START JOB INFORMATION
ENGINEER DATE 22-Jul-14
END JOB INFORMATION
*
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 8 0 0;
*
MEMBER INCIDENCES
1 1 2;
*
DEFINE MATERIAL START
ISOTROPIC STEEL
E 1.99947e+08
POISSON 0.3
DENSITY 76.8191
ALPHA 6.5e-06
DAMP 0.03
END DEFINE MATERIAL
*
MEMBER PROPERTY AUSTRALIAN
1 TABLE ST UB360X50.7
PRINT MEMBER PROPERTIES ALL
*
CONSTANTS
MATERIAL STEEL ALL
*
SUPPORTS
1 2 PINNED
*******************************
LOAD 1 LOAYDTYPE DEAD TITLE PERMANENT LOADS - G
MEMBER LOAD
* UB Self weight
1 UNI GY -0.54
* Slab
1 UNI GY -3.328
*
LOAD 2 LOADTYPE Live TITLE IMPOSED LOADS - Q
MEMBER LOAD
* Imposed Action
1 UNI GY -4.8
* Point Load
1 CON GY -10
*******************************
LOAD COMBINATION 3 ULC
1 1.2 2 1.5
*******************************
PERFORM ANALYSIS
*
UNIT MMS NEWTON
PARAMETER 1
CODE AUSTRALIAN 1998
*
* Grade 300 steel
FYLD 300 ALL
*
* Twist restraint factor
KT 1.04 ALL
*
* Effective length Le
UNT 5820 ALL
*
* Moment modification factor
ALM 1.41 ALL
*
TRACK 2 ALL
CHECK CODE ALL
*
* Published capacity:- Mb = 138 (pg 114)
* Therefore Utilisation ratio = 125/138 = 0.906
*
FINISH
STAAD Output
STAAD.Pro CODE CHECKING - ( AS4100-1998 ) V2.3 **************************************************** |--------------------------------------------------------------------------| | Y PROPERTIES | |************* | IN CM UNIT | | * |=============================| ===|=== ------------ | |MEMBER 1 * | AUSTRALIAN SECTIONS | | AX=0.6470E+2 | | * | ST UB360X50.7 | | --Z AY=0.2599E+2 | |DESIGN CODE * | | | AZ=0.2622E+2 | |AS4100 1998 * =============================== ===|=== PY=0.1730E+3 | | * PZ=0.8970E+3 | | * |<---LENGTH (ME= 8.00 --->| RY=0.3852E+1 | |************* RZ=0.1481E+2 | | Iw=0.2848E+6 | | 124.7( KN-METR) | |PARAMETER | �3 FORCE/MOMENT | |IN NEWTON MM | �3 �3 IN KN METRE | |--------------- + -------------| | KL/R-Y= 207.7 | �3 �3 PNC=0.2405E+3| | KL/R-Z= 54.0 + �3 �3 PNT=0.1747E+4| | UNL = 5820.0 | pn =0.0000E+0| | MAIN = 180.0 + MNZ=0.1375E+3| | PHI = 0.90 | �3 �3 mnz=-.1247E+3| | FULT = 440.0 + MNY=0.4547E+2| | FYLD = 300.0 |�0 �0 mny=0.0000E+0| | NSF = 1.00 +---+---+---+---+---+---+---+---+---+---| VZ =0.6371E+3| | SKT = 1.00 -6.9 vz =0.0000E+0| | SKL = 1.00 ABSOLUTE MZ ENVELOPE VY =0.3938E+3| | SKR = 1.00 (WITH LOAD NO.) vy =0.7500E+1| | | | Section Type: Compact - about Z axis; Compact - about Y axis | | | | Parameters used to calculate RATIO | | ---------------------------------- | | Ns=0.1723E+4 Msz=0.2691E+3 Msy=0.5053E+2 Mbz=0.1528E+3 | | Miz=0.1130E-4 Miy=0.1130E-4 Moz=0.1130E-4 | | Nciz=0.1433E+4 Nciy=0.2672E+3 Ncz=0.1433E+4 Ncy=0.2672E+3 | | Vvmy=0.4376E+3 Vvmz=0.7079E+3 | | ALPHA,M= 1.410 ALPHA,B= 0.000 ALPHA,SZ= 0.403 | | | | MAX FORCE/ MOMENT SUMMARY ( KN-METR) | | ------------------------- | | AXIAL SHEAR-Y SHEAR-Z MOMENT-Y MOMENT-Z | | VALUE 0.0 54.9 0.0 0.0 124.7 | | LOCATION 0.0 0.0 0.0 0.0 4.0 | | LOADING 0 3 0 0 3 | |**************************************************************************| |* DESIGN SUMMARY ( KN-METR) *| |* -------------- *| |* RESULT/ CRITICAL COND/ RATIO/ LOADING/ *| |* FX MY MZ LOCATION *| |* ====================================================== *| |* PASS AS-8.4.4.2 0.907 3 *| |* 0.00 T 0.0 -124.7 4.00 *| |**************************************************************************| |--------------------------------------------------------------------------|