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TWO DIMENSIONAL LINEAR FINITE ELEMENT ANALYSIS OF POSTTENSIONED BEAMS WITH EMBEDDED ELEMENTS USING MATLAB
 Date Issued:
 2004
 Abstract/Description:
 The objective of this research project was to create a Finite Element Routine for the Linear Analysis of PostTensioned beams using the program CALFEM® [20] developed at the division of Structural Mechanics in Lund University, Sweden. The program CALFEM and our own made files were written in MATLAB, an easy to learn and userfriendly computer language. The approach used in this thesis for analyzing the composite beam consists in embedding the steel tendons at the exact location where they intersect the concrete parent elements, without moving the concrete parent element nodes. The steel tendons are represented as one dimensional bar elements inserted into the concrete parent elements, which at the same time are represented as 8 node Isoparametric plane elements. The theory presented in Ref. [4] served as basis for the modeling of the posttensioned beams; however it only explained the procedure for modeling simple reinforced concrete beams, due to this we needed to make the appropriate adjustments so we could model posttensioned beams. Assembly of the tendon stiffness into the concrete elements will depend on the bond interface between the steel and concrete, this bonding effect will be modeled using link elements; the stiffness of this link element used in the concretetendon interface will be the change in cohesion (between the grout or duct and the steel tendon) at the interface due to the relative slip between the concrete and the steel elements nodes. Loads (Distributed, Concentrated or PostTensioning) are applied directly into the concrete parent elements, and then from their resultant displacement the displacements and forces of all the steel tendon elements are obtained, this is done consecutively for all the posttensioned tendons at every load increment. Four examples from different references and software programs are solved and compared with our results: (1) A simply reinforced cantilever plate. (2) A reinforced concrete beam, under the effect of a vertical concentrated load at midspan. For this problem the force distribution along the steel reinforcement is obtained for two conditions, perfectly bonded and perfectly unbonded, our results are compared with the ones obtained with the program SEGNID. (3) Consists of a continuous unbonded posttensioned beam with two spans, without stress losses on the tendon. The reactions at the supports and the concrete stress distribution at the location of the midsupport are obtained after the posttensioning force is applied at both ends. (4) Consist on a unbonded posttensioned beam with stress losses on the tendons due to friction, wobbling and anchorage loss, under gradual loading and consecutive posttensioning of two tendons, the results are compared with the ones reported using the program BEFE [5] developed at the University of Technology Graz, Austria. The results obtained using our program are very similar to the ones obtained with the other programs, including the more powerful curved embedded approach used by BEFE [5].
Title:  TWO DIMENSIONAL LINEAR FINITE ELEMENT ANALYSIS OF POSTTENSIONED BEAMS WITH EMBEDDED ELEMENTS USING MATLAB . 
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Name(s): 
Hutchinson, Rodolfo, Author Onyemelukwe, Okey, Committee Chair University of Central Florida, Degree Grantor 

Type of Resource:  text  
Date Issued:  2004  
Publisher:  University of Central Florida  
Language(s):  English  
Abstract/Description:  The objective of this research project was to create a Finite Element Routine for the Linear Analysis of PostTensioned beams using the program CALFEM® [20] developed at the division of Structural Mechanics in Lund University, Sweden. The program CALFEM and our own made files were written in MATLAB, an easy to learn and userfriendly computer language. The approach used in this thesis for analyzing the composite beam consists in embedding the steel tendons at the exact location where they intersect the concrete parent elements, without moving the concrete parent element nodes. The steel tendons are represented as one dimensional bar elements inserted into the concrete parent elements, which at the same time are represented as 8 node Isoparametric plane elements. The theory presented in Ref. [4] served as basis for the modeling of the posttensioned beams; however it only explained the procedure for modeling simple reinforced concrete beams, due to this we needed to make the appropriate adjustments so we could model posttensioned beams. Assembly of the tendon stiffness into the concrete elements will depend on the bond interface between the steel and concrete, this bonding effect will be modeled using link elements; the stiffness of this link element used in the concretetendon interface will be the change in cohesion (between the grout or duct and the steel tendon) at the interface due to the relative slip between the concrete and the steel elements nodes. Loads (Distributed, Concentrated or PostTensioning) are applied directly into the concrete parent elements, and then from their resultant displacement the displacements and forces of all the steel tendon elements are obtained, this is done consecutively for all the posttensioned tendons at every load increment. Four examples from different references and software programs are solved and compared with our results: (1) A simply reinforced cantilever plate. (2) A reinforced concrete beam, under the effect of a vertical concentrated load at midspan. For this problem the force distribution along the steel reinforcement is obtained for two conditions, perfectly bonded and perfectly unbonded, our results are compared with the ones obtained with the program SEGNID. (3) Consists of a continuous unbonded posttensioned beam with two spans, without stress losses on the tendon. The reactions at the supports and the concrete stress distribution at the location of the midsupport are obtained after the posttensioning force is applied at both ends. (4) Consist on a unbonded posttensioned beam with stress losses on the tendons due to friction, wobbling and anchorage loss, under gradual loading and consecutive posttensioning of two tendons, the results are compared with the ones reported using the program BEFE [5] developed at the University of Technology Graz, Austria. The results obtained using our program are very similar to the ones obtained with the other programs, including the more powerful curved embedded approach used by BEFE [5].  
Identifier:  CFE0000256 (IID), ucf:46227 (fedora)  
Note(s): 
20041201 M.S. Engineering and Computer Science, Department of Civil and Environmental Engineering Masters This record was generated from author submitted information. 

Subject(s): 
finite elements posttensioned beams MATLAB CALFEM concrete beams 

Persistent Link to This Record:  http://purl.flvc.org/ucf/fd/CFE0000256  
Restrictions on Access:  public  
Host Institution:  UCF 