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CivilFEM Manual of Essential Examples. 300609 .Ingeciber, S.A.

Chapter 14 Non linear Concrete


CivilFEM Manual of Essential Examples Chapter 14 Table of Contents

Example 14.1 Non linear analysis of a T beam .................................................... 1

Example 14.2 Non linear analysis of 2 span concrete beam ............................... 7

Example 14.1 Non linear analysis of a T beam


14-1


Example Description Compares the results of a linear analysis versus a non linear analysis of T cantilever concrete beam showed below. Calculate the moment-displacement diagram for the fixed end of the beam due to an imposed displacement of 5 cm at the free end for both linear and non linear analysis. Use S.I. units.

Figure 14.1-1 Problem Sketch

Geometric Properties

H = 0.65 m

TW = 0.20 m

BF = 0.75 m

TF = 0.18 m

Material

Concrete : HA-40

Reinf. Steel : B 400S

Loads

UY = 5 cm at the free end

TW

BF

BF

TF

Chapter 14 Non Linear Concrete


14-2

Figure 14.1-2 Representative Finite Element Model

Input Data Listing

!------------------------------------------------------------------------

! LINEAR ANALYSIS

!------------------------------------------------------------------------

FINISH

~CFCLEAR,,1

! Initial data

! ----------------------------------------------------------------------

! CivilFEM SETUP

~UNITS,SI

~CODESEL,EC3-92,EHE-98,,,EC8-94

/PREP7

! 2. MATERIALS

! --------------------------------------------------

~CFMP,1,LIB,CONCRETE,EHE,HA-40 !Concrete HA-40

~CFMP,2,LIB,REINF,EHE,B 400 S !Reinf. Steel B 400 S

! 3. ELEMENTS

! --------------------------------------------------

ET,1,44 ! BEAM44

! 4. CROSS SECTIONS

! --------------------------------------------------

~CSECDMS,1,T,1,0.65,0.2,0.75,0.18,0,0,0,0,0,0

~RNFDEF,1,1,2,1,0,25.000E-03, , ,16.00,5, , ,4

~RNFDEF,1,2,2,2,0,25.000E-03, , ,25.00,3, , ,3

~RNFDEF,1,3,2,2,0,75.000E-03, , ,25.00,3, , ,3

~TREFINE,1

~SECMDF,1,NAME,,, ! Concrete Beam

! 5. BEAM PROPERTIES

! --------------------------------------------------

~BMSHPRO,1,BEAM,1,1,,,44,1,0

! 7. MODEL

! --------------------------------------------------

! Nodes

N, 1,0,0

N, 11,5,0

FILL

! Elements

REAL,1

TYPE,1

E,1,2

EGEN,10,1,-1

! 8. BOUNDARY CONDITIONS

! --------------------------------------------------

/SOLU

D,1,ALL,0 ! Fixed end

! 9. SOLVE

1 2 3 4 7 6 5 8 9 10



14-3

! --------------------------------------------------

! Imposed displacement of 5 cm at the end node

TIME,20

OUTRES,ALL,ALL

NSUBST,20,20,20 ! Divide into 20 substeps

D,11,UY,0.05 ! Impose displacement

SOLVE

/POST26

!-----------------------------------------------------------------------------

ESOL,2,1,1,M,Z,MZ1

*DIM,MZE,,20

*VLEN,20

VGET,MZE(1),2,1 ! Move the variable 2 into an array parameter vector MZE

PARSAV,ALL,Paramet,Dat ! Write parameter MZE to file Paramet.dat

!-------------------------------------------------------------------------

! START NON LINEAR ANALYSIS

!-------------------------------------------------------------------------

FINISH

~CFCLEAR,,1

~CFACTIV,NLC,Y ! Activates CivilFEM Non Linear Module

! Initial data

! -------------------------------------------------------------------------

! CivilFEM SETUP

~UNITS,SI

~CODESEL,EC3-92,EHE-98,,,EC8-94

/PREP7

! 2. MATERIALS

! --------------------------------------------------

~CFMP,1,LIB,CONCRETE,EHE,HA-40 !Concrete HA-40

~CFMP,2,LIB,REINF,EHE,B 400 S !Reinf. Steel B 400 S

! 3. ELEMENTS

! --------------------------------------------------

ET,1,44 ! BEAM44

! 4. CROSS SECTIONS

! --------------------------------------------------

~CSECDMS,1,T,1,0.65,0.2,0.75,0.18,0,0,0,0,0,0

~RNFDEF,1,1,2,1,0,25.000E-03, , ,16.00,5, , ,4

~RNFDEF,1,2,2,2,0,25.000E-03, , ,25.00,3, , ,3

~RNFDEF,1,3,2,2,0,75.000E-03, , ,25.00,3, , ,3

~TREFINE,1

~SECMDF,1,NAME,,,Concrete Beam

~SECMDF,1,mcd,tmcd,,1 !Name


! --------------------------------------------------

~BMSHPRO,1,BEAM,1,1,,,44,1,0

! 6. MEMBER PROPERTIES

! --------------------------------------------------

KEYW,BETACIVI,1

~MEMBPRO,1,NLMOD,KEYNL,1

! 7. MODEL

! --------------------------------------------------

! Nodes

N, 1,0,0

N, 11,5,0

FILL

! Elements



14-4

REAL,1

TYPE,1

E,1,2

EGEN,10,1,-1


! --------------------------------------------------

/SOLU

D,1,ALL,0 ! Fixed end

! 9. SOLVE

! --------------------------------------------------

! Imposed displacement of 5 cm at the end node

TIME,20

! Non linearity

OUTRES,ALL,ALL

NLGEOM,ON

NEQIT,100

NSUBST,20,20,20

D,11,UY,0.05 ! Impose displacement

SOLVE

/POST26

!------------------------------------------------------------------------

NSOL,2,11,U,Y,DISP ! Define variable 2 as displacement

ESOL,3,1,1,M,Z,MZP ! Define variable 3 as plastic moments (MZP)

PARRES,CHANGE,Paramet,Dat ! Read parameters from Paramet.dat

*VLEN,20

VPUT,MZE(1),4,1

VARNAM,4,MZE ! Variable 4 name: MZE (elastic moments)

XVAR,2 ! Plots displacement along X-axis

/XRANGE,0,5E-2

/YRANGE,0,1500E3,1

/AXLAB,X,DISPLACEMENT (m)

/AXLAB,Y,MOMENT Z

/GRID,1

PLVAR,3,4 ! Plot variables

CivilFEM Results



14-5

Figure 14.1-3 Non linear versus linear calculation

Example 14.2 Non linear analysis of a 2 span concrete beam


14-7

Example 14.2 Nonlinear analysis of 2 span concrete beam

Example Description Calculate the bending moment diagram and the stresses of the transverse cross section at the mid support of the following reinforced concrete beam conforming to Eurocode No. 2.

Geometric Properties

Figure 14.2-1 Problem Sketch

Material

Concrete : C20/25

Reinf. Steel : S400

Loads

Q = 4000 ! N/m on first span

Self Weight = (included)

0.5

0.6

1 2 3 6 7 8 12 13

1m

13 m



14-8

Reinforcement

FI = 20 for both reinforcement groups

MC = 0.04m

Figure 14.2-2 Representative Finite Element Model

Input Data Listing

FINISH

~CFCLEAR,,1

~CFACTIV,NLC,Y ! Activates CivilFEM Non Linear Module

! ---------------------------------------------------------------------------------

! Initial data

! ---------------------------------------------------------------------------------

! CivilFEM SETUP

~UNITS,SI

~CODESEL,EC3-92,EC2-91,,,EC8-94

/PREP7

! 2. MATERIALS

! --------------------------------------------------

~CFMP,1,LIB,CONCRETE,EC2,C20/25 ! C20/25 (EC2)

~CFMP,1,EC2_C,TSASSD,,2 ! Instantaneous loads

~CFMP,1,CONCR,KPLA,,0 ! Elastic behaviour

~CFMP,2,LIB,REINF,EC2,S400 ! S400 (EC2)

~CFMP,2,EC2_S,TSASSD,,2 ! bilinear strain-stress curve for

! section design

! 3. SECTIONS

! --------------------------------------------------

~CSECDMS,1,REC,1,0.6,0.5,,,,,,,0

~RNFDEF,1,1,2,2,0,0.04,,,16,,,0.15,4 ! GROUP 1

~RNFMDF,1,1,FI,20

~RNFMDF,1,1,S,0.1333

~RNFDEF,1,2,2,4,0,0.04,,,16,,,0.15,4 ! GROUP 2

~RNFMDF,1,2,FI,20

~RNFMDF,1,2,N,6

! 4. MEMBER PROPERTIES

! --------------------------------------------------

KEYW,BETACIVI,1 ! ! Activate CivilFEM Beta capabilities

~MEMBPRO,1,NLMOD,KEYNL,1


! --------------------------------------------------

~BMSHPRO,1,BEAM,1,,,,54,1,0, ! Beam 54

! 6. MODEL

! --------------------------------------------------

! Points

nnodes = 13

N,1,0,0

N,nnodes,5,0

FILL

1 2

1

3 6 7 8

2 6 7 122

12 13

Example 14.2 Non linear analysis of a 2 span concrete beam


14-9

! Elements

ET,1,54

REAL,1

E,1,2

EGEN,nnodes-1,1,1


! --------------------------------------------------

D,1,UX,0

D,1,UY,0

D,(nnodes-1)/2 + 1,UX,0

D,(nnodes-1)/2 + 1,UY,0

D,nnodes,UX,0

D,nnodes,UY,0

! 8. SOLUTION

! --------------------------------------------------

/SOLU

Q = 4000 ! N/m

ESEL,NONE

*DO,I,1,(nnodes-1)/2

ESEL,A,,,I

*ENDDO

SFBEAM,ALL,1,PRES,Q

ESEL,ALL

ACEL,0,9.81,0,

! Define non linear parameters

NLGEOM,ON

SOLCONTROL,OFF

NEQIT,50

NLGEOM,ON

NSUBST,15,15,15 ! 15 substeps

SOLVE

! 9. POSTPROCESS

! --------------------------------------------------

/POST1

~CFSET,,1,LAST

! Plot Bending Moment diagram

~PLLSFOR,M,Z,-1

! Plot Stress inside cross section

~PLCSSTR,BEAM,5,I,SX

CivilFEM Results



14-10

Figure 14.2-1 CivilFEM Bending moment diagram

Figure 14.2-2 CivilFEM Cross section stresses

Chapter 14 Non linear ConcreteNon linear analysis of a T beamNonlinear analysis of 2 span concrete beam

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