CFVR8669 - AISC15: Chapter F Design of Members for Flexure .
Bending check according to AISC15 - RECTANGULAR HSS WITH NONCOMPACT FLANGES
A rectangular 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.7B RECTANGULAR HSS FLEXURAL MEMBER WITH NONCOMPACT FLANGES
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: CFVR8669.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR8669' /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,1,1,61,188 !TS 10x6 noncompact flanges and compact webs. ! member property: Cb=1.14 ~MEMBPRO,1,AISC15,ALL,21*12,1.00,1.00,1.00,1.14,21*12, ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ! Update section data ~SECMDF,1,MECHPROP,A ,,5.37, 2,0,0 ~SECMDF,1,MECHPROP,IZZ ,,74.6, 2,0,0 ~SECMDF,1,MECHPROP,IYY ,,34.1, 2,0,0 ~SECMDF,1,MECHPROP,IZ ,,3.73, 2,0,0 ~SECMDF,1,MECHPROP,IY ,,2.52, 2,0,0 ~SECMDF,1,MECHPROP,WZ ,,14.9, 2,0,0 ~SECMDF,1,MECHPROP,WY ,,11.4, 2,0,0 ~SECMDF,1,MECHPROP,ZWS ,,1.575, 2,0,0 ~SECMDF,1,MECHPROP,YWS ,,3.392, 2,0,0 ~SECMDF,1,MECHPROP,IXX ,,73.8, 2,0,0 ~SECMDF,1,MECHPROP,XWT ,,20.349,2,0,0 ~SECMDF,1,MECHPROP,WPZ ,,18 ,2,0,0 ~SECMDF,1,MECHPROP,WPY ,,12.7 ,2,0,0 ~UPDATE,BMSHPRO ! 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 = 14 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) = 'MN_FLB' LABEL(6 ,1) = 'CLS_BEND' LABEL(7 ,1) = 'CRT_LRFD' LABEL(8 ,1) = 'CRT_ASD' LABEL(9 ,1) = 'CRT_YLDL' LABEL(10,1) = 'CRT_LTBL' LABEL(11,1) = 'CRT_FLBL' LABEL(12,1) = 'CRT_YLDA' LABEL(13,1) = 'CRT_LTBA' LABEL(14,1) = 'CRT_FLBA' ! Correct values VALUE(1,1)= 73.44 ! required flexural strength VALUE(2,1)= 900 ! Plastic bending moment VALUE(3,1)= 900 ! Nominal Flexural Strength for yielding limit state VALUE(4,1)= 900 ! Nominal Flexural Strength for lateral-torsional buckling limit state VALUE(5,1)= 796 ! Nominal flexure strength for Flange Local Buckling limit state VALUE(6 ,1)= 2.00 ! the flange is noncompact VALUE(7 ,1)= 0.1025 ! LRFD CRITERION VALUE(8 ,1)= 0.154 ! ASD CRITERION VALUE(9 ,1)= 0.0906 ! Yielding CRITERION LRFD VALUE(10,1)= 0.0906 ! lateral-torsional buckling limit state CRITERION LRFD VALUE(11,1)= 0.1025 ! flange local buckling limit state CRITERION LRFD VALUE(12,1)= 0.136 ! Yielding CRITERION ASD VALUE(13,1)= 0.136 ! lateral-torsional buckling limit state CRITERION ASD VALUE(14,1)= 0.154 ! flange local 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,MN_FLB,I ~CFGET,VALUE(6 ,2),ELEMENT,1,RESULT,CLS_BEND,I ~CFGET,VALUE(7 ,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFGET,VALUE(9 ,2),ELEMENT,1,RESULT,CRT_YLD,I ~CFGET,VALUE(10,2),ELEMENT,1,RESULT,CRT_LTB,I ~CFGET,VALUE(11,2),ELEMENT,1,RESULT,CRT_FLB,I ~CFSET,2 ! ASD ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFGET,VALUE(12,2),ELEMENT,1,RESULT,CRT_YLD,I ~CFGET,VALUE(13,2),ELEMENT,1,RESULT,CRT_LTB,I ~CFGET,VALUE(14,2),ELEMENT,1,RESULT,CRT_FLB,I ! Warning and error tolerances *DO,JJ,1,14 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 | 900 | 900 | 1.000 | 36 |
| MN_YLD | 900 | 900 | 1.000 | 36 |
| MN_LTB | 900 | 900 | 1.000 | 36 |
| MN_FLB | 796 | 798.34 | 0.997 | 31.84 |
| CLS_BEND | 2 | 2 | 1.000 | 0.08 |
| CRT_LRFD | 0.1025 | 0.10221 | 1.003 | 0.0041 |
| CRT_ASD | 0.154 | 0.15363 | 1.002 | 0.00616 |
| CRT_YLDL | 0.0906 | 0.090667 | 0.999 | 0.003624 |
| CRT_LTBL | 0.0906 | 0.090667 | 0.999 | 0.003624 |
| CRT_FLBL | 0.1025 | 0.10221 | 1.003 | 0.0041 |
| CRT_YLDA | 0.136 | 0.13627 | 0.998 | 0.00544 |
| CRT_LTBA | 0.136 | 0.13627 | 0.998 | 0.00544 |
| CRT_FLBA | 0.154 | 0.15363 | 1.002 | 0.00616 |
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