CFVR8668 - AISC15: Chapter F Design of Members for Flexure .
Bending check according to AISC15 - SQUARE HSS WITH COMPACT FLANGES
A HSS beam is subjected to a bending moment.
The beam is simply supported and braced only at the ends. The beam is ASTM A500 Grade C material. The aim of the example is to obtain the Available Flexural Strength according to AISC15 (LRFD/ASD). REFERENCE: Volume 1: Design Examples Version 15.1 EXAMPLE F.6 SQUARE HSS FLEXURAL MEMBER WITH COMPACT FLANGES
Element types used in the model: BEAM188 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 1 |
| Number of nodes | 2 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR8668.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR8668' /TITLE, %NomFile%, AISC15: Bending Check !-------------------------------------------------------------------------------------- ! Model definition !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,IN ~UNITS,,FORC,KIPS! in, sec, Kips ~CODESEL,AISC15 ! Parameters M = 6.12*12 ! Moment kip-in Fyy = 50 ! ksi Fuu = 62 ! ksi /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 ! ASTM A500 Grade C ~CFMP,1,NAME,,,ASTM A500 Grade C ~CFMP,1,USER ~CFMP,1,AISC15 ,Fy,,Fyy ,1,0,0 ~CFMP,1,AISC15 ,Fu,,Fuu ,1,0,0 ! Element Types ET,1,188 ! Type 1: 3D Beam ! Cross Section ~SSECLIB,1,1,61,79 !TS 3 1/2x3 1/2 ! member property: ~MEMBPRO,1,AISC15,ALL,7.5*12,1.00,1.00,1.00,1.00,0, ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ! Nodes N,1 N,2,,2 ! Elements SECNUM,1 REAL,1 E,1,2 /SOLU ! Solution ! -------------------------------------------------- ! Constrains D,1,all ! Apply Load F,ALL,MZ,M ! Solve SOLVE /POST1 ! Postprocessor ! -------------------------------------------------- ! Read results ~CFSET,,1 ! First load case ! Checking ~CHKSTL,BENDING,Z,LRFD ~CHKSTL,BENDING,Z,ASD !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 8 NComp_ch = 0 ! Marix dim. *DIM,LABEL,CHAR,Ncomp,1 *DIM,LABEL_CH,CHAR,Ncomp_ch,1 *DIM,VALUE,,Ncomp,3 *DIM,VALUE_CH,CHAR,Ncomp_ch,3 *DIM,TOLER,,Ncomp,2 ! Labels LABEL(1,1) = 'MU' LABEL(2,1) = 'MP' LABEL(3,1) = 'MN_YLD' LABEL(4,1) = 'CLS_BEND' LABEL(5,1) = 'CRT_LRFD' LABEL(6,1) = 'CRT_ASD' LABEL(7,1) = 'CRT_YLDL' LABEL(8,1) = 'CRT_YLDA' ! Correct values VALUE(1,1)= 73.44 ! required flexural strength VALUE(2,1)= 50*2.07 ! Plastic bending moment VALUE(3,1)= 50*2.07 ! Nominal Flexural Strength for yielding limit state VALUE(4,1)= 2.00 ! VALUE(5,1)= 0.788 ! LRFD CRITERION VALUE(6,1)= 1.18 ! ASD CRITERION VALUE(7,1)= 0.788 ! Yielding CRITERION LRFD VALUE(8,1)= 1.18 ! Yielding CRITERION ASD ! Comparison ~CFSET,1 ! LRFD ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,MU,I ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,MP,I ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,MN_YLD,I ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,CLS_BEND,I ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_YLD,I ~CFSET,2 ! ASD ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_YLD,I ! Warning and error tolerances *DO,JJ,1,8 TOLER(JJ,1)= 0.04*VALUE(JJ,1) $ TOLER(JJ,2)= 0.04*VALUE(JJ,1) *ENDDO !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| MU | 73.44 | 73.44 | 1.000 | 2.938 |
| MP | 103.5 | 103.5 | 1.000 | 4.14 |
| MN_YLD | 103.5 | 103.5 | 1.000 | 4.14 |
| CLS_BEND | 2 | 2 | 1.000 | 0.08 |
| CRT_LRFD | 0.788 | 0.79057 | 0.997 | 0.03152 |
| CRT_ASD | 1.18 | 1.1882 | 0.993 | 0.0472 |
| CRT_YLDL | 0.788 | 0.78841 | 1.000 | 0.03152 |
| CRT_YLDA | 1.18 | 1.185 | 0.996 | 0.0472 |
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