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Bending Analysis of Continuous Slab Plates in Two Directions
Continuous plate members are often used as structural elements of building such as roofs, parking and deck of bridges. When designing such structures, approximation methods are usually employed, because analytical approaches based on the plate theory are complex and require a lot of mathematical manipulations. In the present investigation, a simplified method obtained by using plate theory is proposed for analyzing continuous plates over rigid supports. This simplified method for continuous plates are obtained by considering the force method technique, introducing hinge at intermediate supports and apply redundant moments at those supports to substitute the removed restraints. Afterwards, a three-moment equation and seven-moment equations for continuous plates are derived by using superposition of the Lévy’s solution and the Navier’s one as deflections of plates, and consideration of the continuity of the slope at adjoining edges. To confirm the validity of the present method, numerical examples are performed and the results are compared with those by Finite Difference Method and solutions obtained by means of Marcus Table.
Bending Analysis of Continuous Slab Plates in Two Directions
Continuous plate members are often used as structural elements of building such as roofs, parking and deck of bridges. When designing such structures, approximation methods are usually employed, because analytical approaches based on the plate theory are complex and require a lot of mathematical manipulations. In the present investigation, a simplified method obtained by using plate theory is proposed for analyzing continuous plates over rigid supports. This simplified method for continuous plates are obtained by considering the force method technique, introducing hinge at intermediate supports and apply redundant moments at those supports to substitute the removed restraints. Afterwards, a three-moment equation and seven-moment equations for continuous plates are derived by using superposition of the Lévy’s solution and the Navier’s one as deflections of plates, and consideration of the continuity of the slope at adjoining edges. To confirm the validity of the present method, numerical examples are performed and the results are compared with those by Finite Difference Method and solutions obtained by means of Marcus Table.
Bending Analysis of Continuous Slab Plates in Two Directions
Lecture Notes in Civil Engineering
Kang, Thomas (Herausgeber:in) / Lee, Youngjin (Herausgeber:in) / Pereira, Filomeno (Autor:in) / Suetake, Yoshitaka (Autor:in) / Muhammed, Saliha Shukri (Autor:in)
Proceedings of 2021 4th International Conference on Civil Engineering and Architecture ; Kapitel: 26 ; 293-304
31.01.2022
12 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Bending Analysis of Continuous Slab Plates in Two Directions
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