Optimal three-dimensional strut-and-tie models for anchorage diaphragms in externally prestressed bridges
As a typical D-region in externally prestressed bridges, an anchorage diaphragm is usually severed as the end anchorage of external tendons. In this paper, an optimal three-dimensional strut-and-tie model for the anchorage diaphragm is proposed, and direct equations to facilitate the design are also...
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Published in | Engineering structures Vol. 32; no. 8; pp. 2057 - 2064 |
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Abstract | As a typical D-region in externally prestressed bridges, an anchorage diaphragm is usually severed as the end anchorage of external tendons. In this paper, an optimal three-dimensional strut-and-tie model for the anchorage diaphragm is proposed, and direct equations to facilitate the design are also developed. Both the topology optimization technique and the principle of minimum strain energy are incorporated to find out the optimal configuration of the strut-and-tie model, which makes the model rational based. A design procedure for dimensioning and detailing the model is then given according to ACI 318-08 provisions. The proposed model is further evaluated using three test results, and the comparisons show that the model predictions are consistent and conservative. Moreover, a design example is presented to demonstrate the effectiveness and convenience of the proposed method. |
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AbstractList | As a typical D-region in externally prestressed bridges, an anchorage diaphragm is usually severed as the end anchorage of external tendons. In this paper, an optimal three-dimensional strut-and-tie model for the anchorage diaphragm is proposed, and direct equations to facilitate the design are also developed. Both the topology optimization technique and the principle of minimum strain energy are incorporated to find out the optimal configuration of the strut-and-tie model, which makes the model rational based. A design procedure for dimensioning and detailing the model is then given according to ACI 318-08 provisions. The proposed model is further evaluated using three test results, and the comparisons show that the model predictions are consistent and conservative. Moreover, a design example is presented to demonstrate the effectiveness and convenience of the proposed method. |
Author | Liu, Zhao He, Zhi-Qi |
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Cites_doi | 10.1016/j.engstruct.2006.01.013 10.1002/best.200490095 10.1016/j.engstruct.2007.01.032 10.1061/(ASCE)1084-0702(2000)5:3(208) 10.1061/(ASCE)0733-9445(2002)128:6(815) 10.15554/pcij.05011987.74.150 10.1061/(ASCE)0733-9445(2006)132:6(929) 10.1016/j.engstruct.2007.02.004 10.1016/S0045-7825(01)00333-4 |
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Keywords | Topology optimization External tendon Optimal model Anchorage diaphragm Strut-and-tie Structural design Strut and tie model Optimization Prestressing Design Bridges Three dimensional model Prestressing tendon Formulation Example Diaphragm Anchoring |
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References | Wollmann, Breen, Kreger (b3) 2000; 5 Naaman, Breen (b1) 1990 Schlaich, Schafer, Jennewein (b5) 1987; 32 Eurocode 2. Design of concrete structures—part 1–1: general rules and rules for buildings. London: Thomas Telford Services Ltd.; 2004. AASHTO. LRFD bridge specifications SI units. 3rd ed. Washington (DC): American Association of State Highway and Transportation Officials; 2004. Wollmann GP. Anchorage zones in post-tensioned concrete structures. Ph.D. thesis. Austin (TX): The University of Texas at Austin; 2002. Kwak, Noh (b18) 2006; 28 New directions for Florida post-tensioned bridges. Final report for Florida post-tensioned bridges. Corven Engineering Inc., Florida; 2002. Liang, Uy, Steven (b16) 2002; 128 ACI Committee 318. Building code requirements for structural concrete (ACI318-08) and commentary (ACI 318R-08). Farmington Hills (MI): American Concrete Institute; 2008. Reineck KH. Examples for the design of structural concrete with strut-and-tie models. SP-208. Farmington Hills (MI): American Concrete Institute; 2002. Hegger, Neuser (b13) 2004; 99 Matamoros, Wong (b23) 2003; 100 Leu, Huang, Chen, Liao (b17) 2006; 132 Brown, Bayrak (b22) 2008; 105 CEB-FIP mode code 1990. Design code. London: Thomas Telford Services Ltd.; 1993. Canadian Standards Association. Design of concrete structure: structures design. Rexdale (ON): Canadian Standards Association; 1994. Ruiz, Muttoni (b20) 2007; 104 Roberts CL, Breen JE, Kreger ME. Measurement based revisions for segmental bridge design and construction criteria. Res. Rep. 1234-3F, Ctr. for Transp. Res., Austin (TX): The University of Texas at Austin; 1993. Zhang, Tan (b24) 2007; 29 Tjhin, Kuchma (b21) 2007; 29 AASHTO. Guide specifications for design and construction of segmental concrete bridges. Washington (DC): American Association of State Highway and Transportation Officials; 1999. Liang, Steven (b19) 2002; 191 Liang, Xie, Steven (b15) 2000; 97 Leu (10.1016/j.engstruct.2010.03.006_b17) 2006; 132 Kwak (10.1016/j.engstruct.2010.03.006_b18) 2006; 28 10.1016/j.engstruct.2010.03.006_b2 Ruiz (10.1016/j.engstruct.2010.03.006_b20) 2007; 104 Matamoros (10.1016/j.engstruct.2010.03.006_b23) 2003; 100 Brown (10.1016/j.engstruct.2010.03.006_b22) 2008; 105 Naaman (10.1016/j.engstruct.2010.03.006_b1) 1990 Liang (10.1016/j.engstruct.2010.03.006_b15) 2000; 97 10.1016/j.engstruct.2010.03.006_b8 Zhang (10.1016/j.engstruct.2010.03.006_b24) 2007; 29 10.1016/j.engstruct.2010.03.006_b9 Liang (10.1016/j.engstruct.2010.03.006_b16) 2002; 128 Wollmann (10.1016/j.engstruct.2010.03.006_b3) 2000; 5 10.1016/j.engstruct.2010.03.006_b6 10.1016/j.engstruct.2010.03.006_b7 10.1016/j.engstruct.2010.03.006_b4 Hegger (10.1016/j.engstruct.2010.03.006_b13) 2004; 99 Tjhin (10.1016/j.engstruct.2010.03.006_b21) 2007; 29 Schlaich (10.1016/j.engstruct.2010.03.006_b5) 1987; 32 10.1016/j.engstruct.2010.03.006_b10 10.1016/j.engstruct.2010.03.006_b11 10.1016/j.engstruct.2010.03.006_b12 10.1016/j.engstruct.2010.03.006_b14 Liang (10.1016/j.engstruct.2010.03.006_b19) 2002; 191 |
References_xml | – year: 1990 ident: b1 article-title: External prestressing in bridges. SP-120 contributor: fullname: Breen – volume: 32 start-page: 74 year: 1987 end-page: 150 ident: b5 article-title: Toward a consistent design of structural concrete publication-title: PCI J contributor: fullname: Jennewein – volume: 100 start-page: 704 year: 2003 end-page: 712 ident: b23 article-title: Design of simply supported deep beams using strut-and-tie models publication-title: ACI Struct J contributor: fullname: Wong – volume: 191 start-page: 1471 year: 2002 end-page: 1489 ident: b19 article-title: A performance-based optimization method for topology design of continuum structures with mean compliance constraints publication-title: Comput Methods Appl Mech Engrg contributor: fullname: Steven – volume: 29 start-page: 3042 year: 2007 end-page: 3052 ident: b21 article-title: Integrated analysis and design tool for the strut-and-tie method publication-title: Eng Struct contributor: fullname: Kuchma – volume: 105 start-page: 395 year: 2008 end-page: 404 ident: b22 article-title: Design of deep beams using strut-and-tie models—part I: evaluating US provisions publication-title: ACI Struct J contributor: fullname: Bayrak – volume: 5 start-page: 208 year: 2000 end-page: 215 ident: b3 article-title: Anchorage of external tendons in end diaphragms publication-title: ASCE J Bridge Eng contributor: fullname: Kreger – volume: 97 start-page: 322 year: 2000 end-page: 332 ident: b15 article-title: Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure publication-title: ACI Struct J contributor: fullname: Steven – volume: 128 start-page: 815 year: 2002 end-page: 823 ident: b16 article-title: Performance-based optimization for strut-tie modeling of structural concrete publication-title: ASCE J Struct Eng contributor: fullname: Steven – volume: 28 start-page: 1440 year: 2006 end-page: 1449 ident: b18 article-title: Determination of strut-and-tie models using evolutionary structural optimization publication-title: Eng Struct contributor: fullname: Noh – volume: 99 start-page: 186 year: 2004 end-page: 194 ident: b13 article-title: Verankerung externer spannglieder an querträgerscheiben publication-title: Beton–Stahlbetonbau contributor: fullname: Neuser – volume: 29 start-page: 2987 year: 2007 end-page: 3001 ident: b24 article-title: Direct strut-and-tie model for single span and continuous deep beams publication-title: Eng Struct contributor: fullname: Tan – volume: 132 start-page: 929 year: 2006 end-page: 938 ident: b17 article-title: Strut-and-tie design methodology for three-dimensional reinforced concrete structures publication-title: ASCE J Struct Eng contributor: fullname: Liao – volume: 104 start-page: 495 year: 2007 end-page: 502 ident: b20 article-title: On development of suitable stress fields for structural concrete publication-title: ACI Struct J contributor: fullname: Muttoni – volume: 104 start-page: 495 issue: 3 year: 2007 ident: 10.1016/j.engstruct.2010.03.006_b20 article-title: On development of suitable stress fields for structural concrete publication-title: ACI Struct J contributor: fullname: Ruiz – volume: 28 start-page: 1440 issue: 9 year: 2006 ident: 10.1016/j.engstruct.2010.03.006_b18 article-title: Determination of strut-and-tie models using evolutionary structural optimization publication-title: Eng Struct doi: 10.1016/j.engstruct.2006.01.013 contributor: fullname: Kwak – volume: 99 start-page: 186 issue: 2 year: 2004 ident: 10.1016/j.engstruct.2010.03.006_b13 article-title: Verankerung externer spannglieder an querträgerscheiben publication-title: Beton–Stahlbetonbau doi: 10.1002/best.200490095 contributor: fullname: Hegger – volume: 29 start-page: 3042 issue: 10 year: 2007 ident: 10.1016/j.engstruct.2010.03.006_b21 article-title: Integrated analysis and design tool for the strut-and-tie method publication-title: Eng Struct doi: 10.1016/j.engstruct.2007.01.032 contributor: fullname: Tjhin – volume: 100 start-page: 704 issue: 5 year: 2003 ident: 10.1016/j.engstruct.2010.03.006_b23 article-title: Design of simply supported deep beams using strut-and-tie models publication-title: ACI Struct J contributor: fullname: Matamoros – volume: 5 start-page: 208 issue: 2 year: 2000 ident: 10.1016/j.engstruct.2010.03.006_b3 article-title: Anchorage of external tendons in end diaphragms publication-title: ASCE J Bridge Eng doi: 10.1061/(ASCE)1084-0702(2000)5:3(208) contributor: fullname: Wollmann – ident: 10.1016/j.engstruct.2010.03.006_b9 – ident: 10.1016/j.engstruct.2010.03.006_b8 – ident: 10.1016/j.engstruct.2010.03.006_b12 – ident: 10.1016/j.engstruct.2010.03.006_b11 – ident: 10.1016/j.engstruct.2010.03.006_b10 – volume: 128 start-page: 815 issue: 5 year: 2002 ident: 10.1016/j.engstruct.2010.03.006_b16 article-title: Performance-based optimization for strut-tie modeling of structural concrete publication-title: ASCE J Struct Eng doi: 10.1061/(ASCE)0733-9445(2002)128:6(815) contributor: fullname: Liang – volume: 97 start-page: 322 issue: 2 year: 2000 ident: 10.1016/j.engstruct.2010.03.006_b15 article-title: Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure publication-title: ACI Struct J contributor: fullname: Liang – volume: 105 start-page: 395 issue: 3 year: 2008 ident: 10.1016/j.engstruct.2010.03.006_b22 article-title: Design of deep beams using strut-and-tie models—part I: evaluating US provisions publication-title: ACI Struct J contributor: fullname: Brown – ident: 10.1016/j.engstruct.2010.03.006_b2 – ident: 10.1016/j.engstruct.2010.03.006_b4 – volume: 32 start-page: 74 issue: 2 year: 1987 ident: 10.1016/j.engstruct.2010.03.006_b5 article-title: Toward a consistent design of structural concrete publication-title: PCI J doi: 10.15554/pcij.05011987.74.150 contributor: fullname: Schlaich – ident: 10.1016/j.engstruct.2010.03.006_b14 – volume: 132 start-page: 929 issue: 5 year: 2006 ident: 10.1016/j.engstruct.2010.03.006_b17 article-title: Strut-and-tie design methodology for three-dimensional reinforced concrete structures publication-title: ASCE J Struct Eng doi: 10.1061/(ASCE)0733-9445(2006)132:6(929) contributor: fullname: Leu – ident: 10.1016/j.engstruct.2010.03.006_b6 – ident: 10.1016/j.engstruct.2010.03.006_b7 – volume: 29 start-page: 2987 issue: 10 year: 2007 ident: 10.1016/j.engstruct.2010.03.006_b24 article-title: Direct strut-and-tie model for single span and continuous deep beams publication-title: Eng Struct doi: 10.1016/j.engstruct.2007.02.004 contributor: fullname: Zhang – year: 1990 ident: 10.1016/j.engstruct.2010.03.006_b1 contributor: fullname: Naaman – volume: 191 start-page: 1471 issue: 13–14 year: 2002 ident: 10.1016/j.engstruct.2010.03.006_b19 article-title: A performance-based optimization method for topology design of continuum structures with mean compliance constraints publication-title: Comput Methods Appl Mech Engrg doi: 10.1016/S0045-7825(01)00333-4 contributor: fullname: Liang |
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Snippet | As a typical D-region in externally prestressed bridges, an anchorage diaphragm is usually severed as the end anchorage of external tendons. In this paper, an... |
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SubjectTerms | Anchorage diaphragm Applied sciences Bridges Buildings. Public works Computation methods. Tables. Charts Exact sciences and technology External tendon Optimal model Structural analysis. Stresses Strut-and-tie Topology optimization |
Title | Optimal three-dimensional strut-and-tie models for anchorage diaphragms in externally prestressed bridges |
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