CFVR8665 - AISC15: Chapter F Design of Members for Flexure .
Bending check according to AISC15 - COMPACT CHANNEL BRACED AT ENDS AND FIFTH POINTS
A C channel beam is subjected to a bending moment.
The beam is simply supported and braced at the ends and fifth points. The beam is ASTM A36 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.2-2B COMPACT CHANNEL FLEXURAL MEMBER WITH BRACING AT ENDS AND FIFTH POINTS
Element types used in the model: BEAM188 Needed CivilFEM Modules: |
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| 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: CFVR8665.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR8665' /TITLE, %NomFile%, AISC15: Bending Check !-------------------------------------------------------------------------------------- ! Model definition !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,FT ~UNITS,,FORC,KIPS ! ft, Kips ~CODESEL,AISC15 ! Parameters M = 108 ! Moment kip-ft /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 ! Element Types ET,1,188 ! Type 1: 3D Beam ! Cross Section ~SSECLIB,1,1,55,3 !C 15x 33.9 ! member property: ~MEMBPRO,1,AISC15,ALL,25,1.00,1.00,1.00,1.00,25/5, ! 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 = 11 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) = 'MN_LTB' LABEL(5,1) = 'CLS_BEND' LABEL(6,1) = 'CRT_LRFD' LABEL(7,1) = 'CRT_ASD' LABEL(8,1) = 'CRT_YLDL' LABEL(9,1) = 'CRT_LTBL' LABEL(10,1) = 'CRT_YLDA' LABEL(11,1) = 'CRT_LTBA' ! Correct values VALUE(1,1)= 108 ! required flexural strength VALUE(2,1)= 152 ! Plastic bending moment VALUE(3,1)= 152 ! Nominal Flexural Strength for yielding limit state VALUE(4,1)= 145 ! Nominal Flexural Strength for lateral-torsional buckling limit state VALUE(5,1)= 1.00 ! COMPACT BEAM VALUE(6,1)= 0.827 ! LRFD CRITERION VALUE(7,1)= 1.24 ! ASD CRITERION VALUE(8 ,1)= 0.789 ! Yielding CRITERION LRFD VALUE(9 ,1)= 0.827 ! lateral-torsional buckling limit state CRITERION LRFD VALUE(10,1)= 1.18 ! Yielding CRITERION ASD VALUE(11,1)= 1.24 ! lateral-torsional buckling limit state 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,MN_LTB,I ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CLS_BEND,I ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_YLD,I ~CFGET,VALUE(9,2),ELEMENT,1,RESULT,CRT_LTB,I ~CFSET,2 ! ASD ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFGET,VALUE(10,2),ELEMENT,1,RESULT,CRT_YLD,I ~CFGET,VALUE(11,2),ELEMENT,1,RESULT,CRT_LTB,I ! Warning and error tolerances *DO,JJ,1,11 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 | 108 | 108 | 1.000 | 4.32 |
| MP | 152 | 151.2 | 1.005 | 6.08 |
| MN_YLD | 152 | 151.2 | 1.005 | 6.08 |
| MN_LTB | 145 | 144 | 1.007 | 5.8 |
| CLS_BEND | 1 | 1 | 1.000 | 0.04 |
| CRT_LRFD | 0.827 | 0.83333 | 0.992 | 0.03308 |
| CRT_ASD | 1.24 | 1.2525 | 0.990 | 0.0496 |
| CRT_YLDL | 0.789 | 0.79365 | 0.994 | 0.03156 |
| CRT_LTBL | 0.827 | 0.83333 | 0.992 | 0.03308 |
| CRT_YLDA | 1.18 | 1.1929 | 0.989 | 0.0472 |
| CRT_LTBA | 1.24 | 1.2525 | 0.990 | 0.0496 |
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