{"ModuleCode":"CE5514","ModuleTitle":"Plate & Shell Structures","Department":"Civil & Environmental Engineering","ModuleDescription":"In this specialized module, students are taught fundamentals in plate bending and shell membrane theories including axisymmetric bending of shells of revolution. Topics covered include a brief introduction to the theory of elasticity; fundamentals of plate structures, plate bending theories and plate equations, energy principles, analytical and numerical analyses of plates, axisymmetric plates, orthotropic and laminated plates, vibration of plates, membrane theory for shells of revolution, membrane theory for shells of translations, energy method, axisymmetric bending of shells of revolution and design of reinforced concrete plate and shell structures. The module is intended for undergraduate and graduate students who wish to enhance their understanding in terms of analysis and design of plates and shells used in civil and infrastructure works.","ModuleCredit":"4","Workload":"3-0-0-0-7","Prerequisite":"CE2155 or CE4 standing or higher","Preclusion":"ME5103","ExamDuration":"P2H30M","ExamVenue":"E3-06-03/04","Types":["Module"],"CorsBiddingStats":[{"AcadYear":"2015/2016","Semester":"1","Round":"1A","Group":"Lecture 1","Quota":"8","Bidders":"0","LowestBid":"0","LowestSuccessfulBid":"0","HighestBid":"0","Faculty":"Engineering","StudentAcctType":"Returning Students [P]"},{"AcadYear":"2015/2016","Semester":"1","Round":"1B","Group":"Lecture 1","Quota":"8","Bidders":"0","LowestBid":"0","LowestSuccessfulBid":"0","HighestBid":"0","Faculty":"Engineering","StudentAcctType":"Returning Students [P]"},{"AcadYear":"2015/2016","Semester":"1","Round":"1C","Group":"Lecture 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","Order":1,"ConsultHrs":null},{"ID":"0c0b9c6c-7371-4d30-adc1-75828ef78804","User":{"UserID":null,"Name":"MOCHAMAD RADITYA PRADANA","Email":null,"Title":null,"UserGuid":"2979a8ae-d93a-42c1-8869-32b94ea000dc","AccountType":null},"Role":"Others ","Order":2,"ConsultHrs":null}],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"Module Objectives and Learning Outcomes
\r\n
\r\nThe module introduces the basic principles of modeling and fundamental theories of both plate & shell structures, and the analytical tool for the analysis of these structures. The fundamental behavior of plate and shell components under mainly static loads will be covered. The knowledge and analytical skills are acquired through lectures, homework exercises and physical models.
\r\n \r\n
\r\n\t
At the end of this module, you should be able to
\r\n ☺ understand the behavior of plate & shell structures.
\r\n ☺ apply the analytical tool for the analysis of plate & shell structures under mainly static loads and employ the results for counter-checking with other solutions.
\r\n
\r\nIn this specialized module, studentswill learn about the fundamentals in plate bending and shell membrane theories including axisymmetric bending of shells of revolution. Topics covered include a brief introduction to the theory of elasticity; fundamentals of plate structures, plate bending theories and plate equations, energy principles, analytical and numerical analyses of plates, axisymmetric plates, orthotropic and laminated plates, vibration of plates, membrane theory for shells of revolution, membrane theory for shells of translations, energy method, axisymmetric bending of shells of revolution and design of reinforced concrete plate and shell structures. The module is intended for undergraduate and graduate students who wish to enhance their understanding in terms of analysis and design of plates and shells used in civil and infrastructure works.","Order":1},{"ID":"2e5f053b-8835-4692-be49-41f07234cfff","Title":"Prerequisites","Description":"CE2155 or CE4 standing or higher","Order":2},{"ID":"3e5f053b-8835-4692-be49-41f07234cfff","Title":"Teaching Modes","Description":"Mainly via lectures and other interactive modes with the following intentions: \r\n\r\n\t
No intention to ask you to: \r\n\r\n\t*Analyse complicated 3-D structural systems.
\r\n\r\n\t*Solve complex ODE or PDE, but simple ones.
\r\n\r\n\t*Apply difficult tensor analysis to plate and shell problems.
\r\n
\r\n\r\n\t
Intend to: \r\n\r\n\t*Simplify difficult concepts to enhance an easy understanding of basic plate and shell theories and effective applications.
\r\n\r\n\t*Facilitate the understanding of the structural behavior of plate and shell structures.
\r\n\r\n\t*Make use of plate and shell fundamental concepts to supplement and verify numerical solutions obtained from tedious finite element analysis.
\r\n","Order":3},{"ID":"4e5f053b-8835-4692-be49-41f07234cfff","Title":"Schedule","Description":" \r\n\r\n\t\r\n\t\t\r\n\t\t\r\n\t\t\r\n\t\r\n\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\tDate | \r\n\t\t\t\r\n\t\t\t\tTime (pm) | \r\n\t\t\t\r\n\t\t\t\tTopic | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t15/8/13 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tIntroduction and elasticity | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t22/8/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tBending of S. S. rectangular plates and Navier solutions | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t29/8/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tBending of rectangular plates and Levy- Nadai solutions | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t5/9/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tEnergy principles in plate bending | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t12/9/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tBending of circular plates | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t19/9/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tAxi-symmetric bending of circular plates | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t26/9/14 | \r\n\t\t\t\r\n\t\t\t\t | \r\n\t\t\t\r\n\t\t\t\tNo class (Recess week) | \r\n\t\t
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\r\n \r\n\r\n\t\r\n\t\t\r\n\t\t\r\n\t\t\r\n\t\r\n\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\tDate | \r\n\t\t\t\r\n\t\t\t\tTime (pm) | \r\n\t\t\t\r\n\t\t\t\tTopic | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t03/10/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tAxisymmetric loaded shells and quiz #1 | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t10/10/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tNonsymmetrical loaded rotational shells | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t17/10/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tTranslational shells | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t24/10/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tAxisymmetric bending of shells | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t31/10/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tBending of spherical shells | \r\n\t\t
\r\n\t\t\r\n\t\t\t\r\n\t\t\t\t07/11/14 | \r\n\t\t\t\r\n\t\t\t\t6-9 | \r\n\t\t\t\r\n\t\t\t\tQuiz #2 Q&A | \r\n\t\t
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\r\n","Order":4},{"ID":"5e5f053b-8835-4692-be49-41f07234cfff","Title":"Synopsis","Description":" \r\n\r\n\t
Introduction and Elasticity
\r\n Definition and examples of plate and shell structures; state of stress in elastic bodies; strain and displacement; stress-strain relations; compatibility and boundary conditions. (2 hrs)
\r\n
\r\n\r\n\t
Bending of Rectangular Plates
\r\n Assumptions of thin plate theory; curvature‑displacement relations; stress resultant‑displacement relations; equilibrium of stress resultants; the plate equations in Cartesian coordinates; boundary conditions; free‑edges and corner forces; analytical solutions of rectangular plates using Navier and Levy-Nadai solutions; rectangular plates under edge forces and bendings; solutions of rectangular plates of various boundary conditions; solutions by superposition. (9 hrs)
\r\n \r\n\r\n\t
Energy Methods in Plate Bending
\r\n Total potential energy in plate structures; numerical solutions via Ritz method for plates of various boundary conditions under static loads; numerical solutions using the Rayleigh-Ritz method for vibration of plates. (3 hrs)
\r\n
\r\n\r\n\t
Circular Plates
\r\n Governing equations for thin circular plates via (a) transformation from Cartesian to polar coordinates and (b) direct formulation for axisymetric bending for thin circular plates; axisymetric circular plates with clamped and simply supported edges; axisymetric circular plates supported by central column; treatment of edge loadings; axisymetric annular plates; axisymetric circular plates under partial loadings; solutions by superposition. (6 hrs)
\r\n \r\n\r\n\t
Membrane Analysis of Shells of Revolution
\r\n Qualitative description of shell behavior; geometric description; shell element; stresses and stress resultants; equilibrium equations; shells under axisymmetric load; spherical, conical, orgival domes, and toroidal shells; shells subject to wind load; spherical shells supported on columns. (9 hrs)
\r\n
\r\n\r\n\t
Membrane Analysis of Shells of Translation
\r\n Equilibrium equations; hyperbolic-paraboloid shells; elliptic-paraboloid shells. (3 hrs)
\r\n \r\n\r\n\t
Axisymmetric Bending of Shells
\r\n Equilibrium equations; stress resultant-strain displacement relations; governing equations; method of solution; spherical shells of constant thickness. (6 hrs)
\r\n
\r\n\r\n\t
Other Issues on Plates and Shells
\r\n Brief discussion on other issues on plates and shells. (1 hrs)
\r\n","Order":5},{"ID":"8e5f053b-8835-4692-be49-41f07234cfff","Title":"Assessment","Description":" Assessment and Exercises
\r\n
\r\n\r\n\t•Quiz #1 15%
\r\n\r\n\t•Quiz #2 20%
\r\n\r\n\t•Exercise 10%
\r\n\r\n\t•Final Exam 55%
\r\n\r\n\t
\r\nExercises are included in the notes to further enhance your understanding if attempted. Pls spend time to find the solutions and study on the approach used and the implication of the results obtained.
\r\nCollaborative discussion is normally effective and you are encouraged to do so. Those who share ideas and knowledge with others also benefit, as to explain concepts, we have to think and hence gain deeper understanding.
\r\nPls submit the answers not later than a week after the topic is covered. Your solutions will be checked and returned to you with feedback a week after that. This also applies to the answers to the two quizzes. ","Order":8},{"ID":"cc03b0b3-db6a-4165-a899-4ba7e7bc9073","Title":"Preclusions","Description":"ME5103","Order":9},{"ID":"c23d2557-c52c-4a8b-9a74-b16551bc0b66","Title":"Workload","Description":"3-0-0-0-7
Workload Components : A-B-C-D-E \r\n
A: no. of lecture hours per week \r\n
B: no. of tutorial hours per week \r\n
C: no. of lab hours per week \r\n
D: no. of hours for projects, assignments, fieldwork etc per week \r\n
E: no. of hours for preparatory work by a student per week","Order":10}],"ReadingFormatted":[{"ID":"d9da478d-e2a4-4bb9-a522-1394a0b1771f","Title":"Theory of Plates and Shells","Author":"Timoshenko, S.P. and Woinowsky-Krieger, S","Edition":"","PubYear":"1984","ISBN":"","Publisher":"McGraw-Hill","BookType":"References","AdditionalInfo":"","CompWebsite":"","Order":1},{"ID":"94702052-9756-49bf-9a5a-b3f2c9ec8103","Title":"Theory and Analysis of Elastic Plates and Shells","Author":"Reddy, J.N.","Edition":"","PubYear":"2007","ISBN":"","Publisher":"CRC Press","BookType":"References","AdditionalInfo":"","CompWebsite":"","Order":2},{"ID":"9075e285-6815-48be-b2f3-ede57e168f1f","Title":"Stresses in Plates and Shells","Author":"Ugural, A.C.","Edition":"","PubYear":"2007","ISBN":"","Publisher":"Springer-Verlag","BookType":"References","AdditionalInfo":"","CompWebsite":"","Order":3}],"ReadingUnformatted":[]}],"Lecturers":["Swaddiwudhipong"],"LecturePeriods":["Friday Evening"]}]}