Approximate methods for predicting time varying stresses in highly redundant structures
An approximate single step method for analysing concrete structures with time varying strains and stresses is presented based on the principles of variational calculus. A detailed description of the method is made followed by examples on practical engineering structures with finite and infinite redu...
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| Published in | Computers & structures Vol. 32; no. 1; pp. 13 - 29 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
1989
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
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| Abstract | An approximate single step method for analysing concrete structures with time varying strains and stresses is presented based on the principles of variational calculus. A detailed description of the method is made followed by examples on practical engineering structures with finite and infinite redundancies and loaded with external loads uniform temperature changes or temperature gradient across the section. Based on this method, the distribution of stresses and strains in concrete structures subject to self-equilibrating stress distributions is calculated. These distributions are produced from fictitious temperature changes and the real stresses are computed directly, so avoiding repeated calculations which is the main disadvantage of step-by-step methods. |
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| AbstractList | An approximate single step method for analysing concrete structures with time varying strains and stresses is presented based on the principles of variational calculus. A detailed description of the method is made followed by examples on practical engineering structures with finite and infinite redundancies and loaded with external loads uniform temperature changes or temperature gradient across the section. Based on this method, the distribution of stresses and strains in concrete structures subject to self-equilibrating stress distributions is calculated. These distributions are produced from fictitious temperature changes and the real stresses are computed directly, so avoiding repeated calculations which is the main disadvantage of step-by-step methods. |
| Author | Stefanou, G.D. |
| Author_xml | – sequence: 1 givenname: G.D. surname: Stefanou fullname: Stefanou, G.D. organization: Department of Civil Engineering, Structure Division, University of Patras, Patras 261 10, Greece |
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| Cites_doi | 10.1016/0045-7949(81)90009-2 10.1680/macr.1962.14.40.5 10.3327/jnst.19.359 10.1016/0045-7949(82)90057-8 |
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| Keywords | Stress analysis Indeterminate structure Approximate method Time dependent phenomenon Structural analysis |
| Language | English |
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| References | Stefanou (BIB11) 1982; 15 England (BIB8) Sept. 1974 Ross, England, Suan (BIB2) 1965 England (BIB4) 1967; 64 Stefanou (BIB12) 1987; 20 5–12. Stefanou, Yu, England (BIB6) Sept. 1971; Vol. 3H Stefanou (BIB9) 1981; 14 England, Alien (BIB7) Sept. 1971; Vol. 3H G. L. England and A. D. Ross, Reinforced concrete under thermal gradients. Ross (BIB1) 1958; 54 Strefanou, Yu, Gill (BIB5) July 1969 Stefanou (BIB10) 1982; 19 Stefanou (10.1016/0045-7949(89)90064-3_BIB10) 1982; 19 Strefanou (10.1016/0045-7949(89)90064-3_BIB5) 1969 Stefanou (10.1016/0045-7949(89)90064-3_BIB6) 1971; Vol. 3H Ross (10.1016/0045-7949(89)90064-3_BIB2) 1965 England (10.1016/0045-7949(89)90064-3_BIB8) 1974 Stefanou (10.1016/0045-7949(89)90064-3_BIB12) 1987; 20 England (10.1016/0045-7949(89)90064-3_BIB7) 1971; Vol. 3H Ross (10.1016/0045-7949(89)90064-3_BIB1) 1958; 54 Stefanou (10.1016/0045-7949(89)90064-3_BIB9) 1981; 14 Stefanou (10.1016/0045-7949(89)90064-3_BIB11) 1982; 15 10.1016/0045-7949(89)90064-3_BIB3 England (10.1016/0045-7949(89)90064-3_BIB4) 1967; 64 |
| References_xml | – volume: 54 start-page: 558 year: 1958 end-page: 739 ident: BIB1 article-title: Creep of concrete under variable stresses publication-title: Proc. ACI – year: Sept. 1974 ident: BIB8 article-title: A direct solution technique to creep problems in concrete publication-title: Proc. Int. Sympon. Discrete Methods in Engineering – volume: 19 start-page: 359 year: 1982 end-page: 367 ident: BIB10 article-title: Use of variational principles for solution of infinitely redundant continuum problems with special reference to containment vessels publication-title: J. Nuclear Sci. Technol. – reference: G. L. England and A. D. Ross, Reinforced concrete under thermal gradients. – year: 1965 ident: BIB2 article-title: Prestressed concrete beams under a sustained temperature crossfall publication-title: M.C.R. – volume: Vol. 3H year: Sept. 1971 ident: BIB6 article-title: Two-dimensional time-dependent analysis of perforated end caps by the finite element method publication-title: Proc. Int. Conf. 1st SMIRT – volume: Vol. 3H year: Sept. 1971 ident: BIB7 article-title: Calculation of the time dependent stresses in PCPVs by an approximate method publication-title: Proc. Int. Conf. 1st SNIRT – reference: , 5–12. – volume: 14 start-page: 231 year: 1981 end-page: 245 ident: BIB9 article-title: A general method of calculating stress redistribution due to differential creep in concrete structures publication-title: Comput. Struct. – volume: 64 start-page: 301 year: 1967 end-page: 311 ident: BIB4 article-title: Numerical creep analysis applied to concrete structures publication-title: Proc. ACI – volume: 15 start-page: 109 year: 1982 end-page: 116 ident: BIB11 article-title: A force method for calculating time varying stresses in concrete structures publication-title: Comput. Struct. – year: July 1969 ident: BIB5 article-title: An experimental investigation into the behaviour of perforated end slabs for concrete pressure vessels under temperature and external load publication-title: Int. Conf. on Model Techniques for PSCPV – volume: 20 start-page: 195 year: 1987 end-page: 215 ident: BIB12 article-title: Theoretical and experimental study of creep behaviour for reinforced and prestressed concrete portals publication-title: Res. Mechanica – volume: Vol. 3H year: 1971 ident: 10.1016/0045-7949(89)90064-3_BIB6 article-title: Two-dimensional time-dependent analysis of perforated end caps by the finite element method – volume: 14 start-page: 231 year: 1981 ident: 10.1016/0045-7949(89)90064-3_BIB9 article-title: A general method of calculating stress redistribution due to differential creep in concrete structures publication-title: Comput. Struct. doi: 10.1016/0045-7949(81)90009-2 – ident: 10.1016/0045-7949(89)90064-3_BIB3 doi: 10.1680/macr.1962.14.40.5 – year: 1974 ident: 10.1016/0045-7949(89)90064-3_BIB8 article-title: A direct solution technique to creep problems in concrete – volume: 64 start-page: 301 year: 1967 ident: 10.1016/0045-7949(89)90064-3_BIB4 article-title: Numerical creep analysis applied to concrete structures – issue: No. 17 year: 1965 ident: 10.1016/0045-7949(89)90064-3_BIB2 article-title: Prestressed concrete beams under a sustained temperature crossfall publication-title: M.C.R. – volume: 19 start-page: 359 year: 1982 ident: 10.1016/0045-7949(89)90064-3_BIB10 article-title: Use of variational principles for solution of infinitely redundant continuum problems with special reference to containment vessels publication-title: J. Nuclear Sci. Technol. doi: 10.3327/jnst.19.359 – volume: 20 start-page: 195 year: 1987 ident: 10.1016/0045-7949(89)90064-3_BIB12 article-title: Theoretical and experimental study of creep behaviour for reinforced and prestressed concrete portals publication-title: Res. Mechanica – volume: 15 start-page: 109 year: 1982 ident: 10.1016/0045-7949(89)90064-3_BIB11 article-title: A force method for calculating time varying stresses in concrete structures publication-title: Comput. Struct. doi: 10.1016/0045-7949(82)90057-8 – year: 1969 ident: 10.1016/0045-7949(89)90064-3_BIB5 article-title: An experimental investigation into the behaviour of perforated end slabs for concrete pressure vessels under temperature and external load – volume: Vol. 3H year: 1971 ident: 10.1016/0045-7949(89)90064-3_BIB7 article-title: Calculation of the time dependent stresses in PCPVs by an approximate method – volume: 54 start-page: 558 year: 1958 ident: 10.1016/0045-7949(89)90064-3_BIB1 article-title: Creep of concrete under variable stresses |
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| SubjectTerms | Applied sciences Buildings. Public works Computation methods. Tables. Charts Exact sciences and technology Structural analysis. Stresses |
| Title | Approximate methods for predicting time varying stresses in highly redundant structures |
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