Time-dependent analysis of composite and prestressed beams using the slope deflection method
Само за регистроване кориснике
2015
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The paper presents the viscoelastic analysis of composite and prestressed beams using the slope deflection method. For the fixed-end frame element, considering the viscoelastic behavior of concrete and relaxation of prestressing steel, the integral relation between the generalized element forces and the generalized element displacements, i.e., the element stiffness matrix, is derived and presented using the mathematical operators. From the element and system equilibrium equations, the integral equations of the problem with unknown displacements are formulated. Comparing to the analysis of homogeneous elastic structures, the governing equations of the problem are similar, but with integral equations instead of algebraic equations. In the presented method, the solution to the problem is derived using the linear integral operators without introducing any additional mathematical approximations, apart from the adopted rheological relations for constitute materials. In addition, the obtained... expressions are general in a sense that any concrete creep functions can be used and the element can be with a variable cross section.
Кључне речи:
Composite beam / Linear integral operators / Viscoelastic analysis / Creep / Shrinkage / Stiffness matrixИзвор:
Archive of Applied Mechanics, 2015, 85, 2, 257-272Издавач:
- Springer Verlag
Финансирање / пројекти:
- Истраживање утицаја вибрација од саобраћаја на зграде и људе у циљу одрживог развоја градова (RS-MESTD-Technological Development (TD or TR)-36046)
DOI: 10.1007/s00419-014-0917-z
ISSN: 0939-1533
WoS: 000348207900006
Scopus: 2-s2.0-84925517819
Институција/група
GraFarTY - JOUR AU - Deretić-Stojanović, Biljana AU - Kostić, Svetlana M. PY - 2015 UR - https://grafar.grf.bg.ac.rs/handle/123456789/663 AB - The paper presents the viscoelastic analysis of composite and prestressed beams using the slope deflection method. For the fixed-end frame element, considering the viscoelastic behavior of concrete and relaxation of prestressing steel, the integral relation between the generalized element forces and the generalized element displacements, i.e., the element stiffness matrix, is derived and presented using the mathematical operators. From the element and system equilibrium equations, the integral equations of the problem with unknown displacements are formulated. Comparing to the analysis of homogeneous elastic structures, the governing equations of the problem are similar, but with integral equations instead of algebraic equations. In the presented method, the solution to the problem is derived using the linear integral operators without introducing any additional mathematical approximations, apart from the adopted rheological relations for constitute materials. In addition, the obtained expressions are general in a sense that any concrete creep functions can be used and the element can be with a variable cross section. PB - Springer Verlag T2 - Archive of Applied Mechanics T1 - Time-dependent analysis of composite and prestressed beams using the slope deflection method EP - 272 IS - 2 SP - 257 VL - 85 DO - 10.1007/s00419-014-0917-z ER -
@article{ author = "Deretić-Stojanović, Biljana and Kostić, Svetlana M.", year = "2015", abstract = "The paper presents the viscoelastic analysis of composite and prestressed beams using the slope deflection method. For the fixed-end frame element, considering the viscoelastic behavior of concrete and relaxation of prestressing steel, the integral relation between the generalized element forces and the generalized element displacements, i.e., the element stiffness matrix, is derived and presented using the mathematical operators. From the element and system equilibrium equations, the integral equations of the problem with unknown displacements are formulated. Comparing to the analysis of homogeneous elastic structures, the governing equations of the problem are similar, but with integral equations instead of algebraic equations. In the presented method, the solution to the problem is derived using the linear integral operators without introducing any additional mathematical approximations, apart from the adopted rheological relations for constitute materials. In addition, the obtained expressions are general in a sense that any concrete creep functions can be used and the element can be with a variable cross section.", publisher = "Springer Verlag", journal = "Archive of Applied Mechanics", title = "Time-dependent analysis of composite and prestressed beams using the slope deflection method", pages = "272-257", number = "2", volume = "85", doi = "10.1007/s00419-014-0917-z" }
Deretić-Stojanović, B.,& Kostić, S. M.. (2015). Time-dependent analysis of composite and prestressed beams using the slope deflection method. in Archive of Applied Mechanics Springer Verlag., 85(2), 257-272. https://doi.org/10.1007/s00419-014-0917-z
Deretić-Stojanović B, Kostić SM. Time-dependent analysis of composite and prestressed beams using the slope deflection method. in Archive of Applied Mechanics. 2015;85(2):257-272. doi:10.1007/s00419-014-0917-z .
Deretić-Stojanović, Biljana, Kostić, Svetlana M., "Time-dependent analysis of composite and prestressed beams using the slope deflection method" in Archive of Applied Mechanics, 85, no. 2 (2015):257-272, https://doi.org/10.1007/s00419-014-0917-z . .