Equilibrium analysis of frictionless triangular arches: Geometrical formulation
At the beginning of the scientific research on vaulted structures, during the eighteenth century, scholars such as De la Hire, Couplet and Coulomb, primarily considered an arch made of voussoirs with the joints that have neither friction nor cohesion between them. Accordingly, in order to ensure the...
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| Format: | Article |
| Language: | English |
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University of Belgrade - Faculty of Mechanical Engineering, Belgrade
2017-01-01
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| Series: | FME Transactions |
| Subjects: | |
| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2017/1451-20921702307N.pdf |
| _version_ | 1819128620293029888 |
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| author | Nikolić Dimitrije Štulić Radovan |
| author_facet | Nikolić Dimitrije Štulić Radovan |
| author_sort | Nikolić Dimitrije |
| collection | DOAJ |
| description | At the beginning of the scientific research on vaulted structures, during the eighteenth century, scholars such as De la Hire, Couplet and Coulomb, primarily considered an arch made of voussoirs with the joints that have neither friction nor cohesion between them. Accordingly, in order to ensure the equilibrium of the voussoirs, for given extrados and intrados, the problem of determining the direction of the joints was imposed, since the resultant thrust forces must be perpendicular to them. This paper derives and elaborates in detail the explicit equation that defines the precise position and orientation of the joints in a triangular arch of general shape. For the two commonly used shapes, namely flat arch or plate-bande and triangular arch with its intrados and extrados both perpendicular to springings, the closed-form expression of thrust line is obtained. In addition, the paper provides the minimum thickness for various springing angles. |
| first_indexed | 2024-12-22T08:30:43Z |
| format | Article |
| id | doaj.art-52c81dc17f6e433d927ae899b69dce07 |
| institution | Directory Open Access Journal |
| issn | 1451-2092 2406-128X |
| language | English |
| last_indexed | 2024-12-22T08:30:43Z |
| publishDate | 2017-01-01 |
| publisher | University of Belgrade - Faculty of Mechanical Engineering, Belgrade |
| record_format | Article |
| series | FME Transactions |
| spelling | doaj.art-52c81dc17f6e433d927ae899b69dce072022-12-21T18:32:30ZengUniversity of Belgrade - Faculty of Mechanical Engineering, BelgradeFME Transactions1451-20922406-128X2017-01-014523073131451-20921702307NEquilibrium analysis of frictionless triangular arches: Geometrical formulationNikolić Dimitrije0Štulić Radovan1https://orcid.org/0000-0002-9155-218XUniversity of Novi Sad, Faculty of Technical Sciences, Deparment of ArchitectureUniversity of Novi Sad, Faculty of Technical Sciences, Deparment of ArchitectureAt the beginning of the scientific research on vaulted structures, during the eighteenth century, scholars such as De la Hire, Couplet and Coulomb, primarily considered an arch made of voussoirs with the joints that have neither friction nor cohesion between them. Accordingly, in order to ensure the equilibrium of the voussoirs, for given extrados and intrados, the problem of determining the direction of the joints was imposed, since the resultant thrust forces must be perpendicular to them. This paper derives and elaborates in detail the explicit equation that defines the precise position and orientation of the joints in a triangular arch of general shape. For the two commonly used shapes, namely flat arch or plate-bande and triangular arch with its intrados and extrados both perpendicular to springings, the closed-form expression of thrust line is obtained. In addition, the paper provides the minimum thickness for various springing angles.https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2017/1451-20921702307N.pdffrictionlessthrust linestatical approachtriangular archplate-bandeminimum thickness |
| spellingShingle | Nikolić Dimitrije Štulić Radovan Equilibrium analysis of frictionless triangular arches: Geometrical formulation FME Transactions frictionless thrust line statical approach triangular arch plate-bande minimum thickness |
| title | Equilibrium analysis of frictionless triangular arches: Geometrical formulation |
| title_full | Equilibrium analysis of frictionless triangular arches: Geometrical formulation |
| title_fullStr | Equilibrium analysis of frictionless triangular arches: Geometrical formulation |
| title_full_unstemmed | Equilibrium analysis of frictionless triangular arches: Geometrical formulation |
| title_short | Equilibrium analysis of frictionless triangular arches: Geometrical formulation |
| title_sort | equilibrium analysis of frictionless triangular arches geometrical formulation |
| topic | frictionless thrust line statical approach triangular arch plate-bande minimum thickness |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2017/1451-20921702307N.pdf |
| work_keys_str_mv | AT nikolicdimitrije equilibriumanalysisoffrictionlesstriangulararchesgeometricalformulation AT stulicradovan equilibriumanalysisoffrictionlesstriangulararchesgeometricalformulation |