CFVR8673 - AISC15: Chapter F Design of Members for Flexure .
Bending check according to AISC15 - PLATE GIRDER
A built-up plate girder is subjected to a bending moment.
The plate girder is simply supported and is laterally braced at quarter and end points. The beam is ASTM A572 Grade 50 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.15 PLATE GIRDER FLEXURAL MEMBER
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: CFVR8673.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR8673' /TITLE, %NomFile%, AISC15: Bending Check !-------------------------------------------------------------------------------------- ! Model definition !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,IN ~UNITS,,FORC,KIPS! in, sec, Kips ~CODESEL,AISC15 ! Parameters M = 6.910*12 ! Moment kip-in Fyy = 50 ! ksi Fuu = 65 ! ksi /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 ! ASTM A572 Grade 50 material ~CFMP,1,NAME,,,ASTM A572 Grade 50 ~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 ~SSECDMS,1,I,1,66 ,0.5,14 ,2 ,,62 ! member property: Cb=1.25 ~MEMBPRO,1,AISC15,ALL,12.5*12,1.00,1.00,1.00,1.25,12.5*12, ! 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)= 82.92 ! required flexural strength VALUE(2,1)= 113.52e3 ! Plastic bending moment VALUE(3,1)= 105.12e3 ! Nominal Flexural Strength for yielding limit state VALUE(4,1)= 105.12e3 ! Nominal Flexural Strength for lateral-torsional buckling limit state VALUE(5,1)= 2 ! web is noncompact VALUE(6,1)= 0.876e-3 ! LRFD CRITERION VALUE(7,1)= 0.131e-2 ! ASD CRITERION VALUE(8 ,1)= 0.876e-3 ! Yielding CRITERION LRFD VALUE(9 ,1)= 0.876e-3 ! lateral-torsional buckling limit state CRITERION LRFD VALUE(10,1)= 0.131e-2 ! Yielding CRITERION ASD VALUE(11,1)= 0.131e-2 ! 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 | 82.92 | 82.92 | 1.000 | 3.317 |
| MP | 1.1352e+005 | 1.1363e+005 | 0.999 | 4541 |
| MN_YLD | 1.0512e+005 | 1.0527e+005 | 0.999 | 4205 |
| MN_LTB | 1.0512e+005 | 1.0527e+005 | 0.999 | 4205 |
| CLS_BEND | 2 | 2 | 1.000 | 0.08 |
| CRT_LRFD | 0.000876 | 0.00087518 | 1.001 | 3.504e-005 |
| CRT_ASD | 0.00131 | 0.0013154 | 0.996 | 5.24e-005 |
| CRT_YLDL | 0.000876 | 0.00087518 | 1.001 | 3.504e-005 |
| CRT_LTBL | 0.000876 | 0.00087518 | 1.001 | 3.504e-005 |
| CRT_YLDA | 0.00131 | 0.0013154 | 0.996 | 5.24e-005 |
| CRT_LTBA | 0.00131 | 0.0013154 | 0.996 | 5.24e-005 |
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