Topic outline

  • MEC-E8003 Beam, Plate, and Shell Models D


    After the course, student is (1) able to represent the quantities and operators of continuum mechanics in different coordinate systems, (2) knows the assumptions of the beam and plate models and derivation of the beam and plate equations using the principle of virtual work, and (3) is able to write the equations in different coordinate systems in flat and curved geometries and solve the equations for the displacements in simple cases.



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      Course schedule and arrangements (22.03.2022) File
      PDF document

      COURSE PERSONNEL

      Responsible teacher: Jouni Freund (JF)

      Teacher: Markku Malmivuori (MM)

      COURSE SOFTWARE

      Lectures of the online course use Zoom:

      https://www.aalto.fi/en/services/zoom-quick-guide

      Assignments of the course are published and returned through MyCourses. Be prepared to use Microsoft Word with Mathtype equation editor and a tool for pdf-conversion:

      https://www.dessci.com/en/  

      https://download.aalto.fi/index-en.html

      Computational tools of the course requires Mathematica software to work. Download Mathematica in good time (it may take a few days to get the license)

      https://download.aalto.fi/index-en.html

      TEACHING

      Lectures on Tue (14:15-16:00) and Wed (14:15-16:00) are based on the lecture notes available in the homepage on Fri of the previous week. Lectures are followed by lecture assignments to be returned during the lecturing day (23:55 at the latest).

      Calculation examples on Thu (12:15-14:00) is used for calculation examples by hand and computational tools of the course. The problems discussed in detail are taken from the weekly example problems available in the homepage.

      Calculation hours on Tue (16:15-17:00) and Wed (16:15-17:00) are informal meetings for instructions, discussion, and questions about the lecture/modelling assignments and that of Thu (16:15-18:00) about the weekly home assignments.

      WEEKLY COURSE MATERIAL

      Lecture notes (weeks 9-14) are published in the home page on Fri of the previous week. The notes for the Tue and Wed lectures contain the theory and examples related with the weekly topic.

      Modelling assignment (week 9) is published in the home page on Fri of week 8 and should be returned through the homepage before Sun 23:55 of week 9. Modelling assignment replaces the third home assignment of the other weeks.

      Exercise problems are published in the home page on Fri of the previous week. Exercise problems contain answers and full solutions. Some of the solutions are explained in detail during the Calculation examples session on Thu.

      Lecture assignments are published in the home page on Fri of the previous week. and should be returned during the lecturing days 23:55 at the latest.

      Home assignments (weeks 9-14) are published in the homepage on Fri of the previous week and should be returned through the homepage before Sun 23:55 of the next week. Some of the problems are structured and contain templates to be completed, some are non-structured to be solved from scratch.

      All assignments are published in docx and pdf versions. With the docx version, you may use MathType equation editor to fill the missing parts of a structured assignment or write the full solution to a non-structured assignment. Also handwriting is possible. Return of the solution through MyCourses should be pdf in type.

      Solutions to the modelling assignment, home assignments, and lecture assignments are graded so that the maximal points correspond to one correctly solved exam problem in the final grading of the course. Participation in the final exam is possible only if the points from the graded assignments exceed half of the maximal points.

      FINAL EXAM

      Onsite exam (in Otaniemi campus) consist of five (5) problems chosen from the set of solved example problems of the course material. In the onsite exam, you may use only the formulae collection of the course. The time for the exam is 4h.

      Online exam consist of four (4) problems published and returned through MyCourses in the same manner as the assignments of the course. The problems are not as “technical” ones as those of the controlled exam and they might require also a bit modelling. The time for the exam is 4h. In the online exam, you may use any material. However, you are supposed to solve the problems by yourself.

      You may participate either the online or onsite exam. However,  after passing the course, improving the grade is possible only in the onsite exam.

    • Folder icon
      Formulae (update 31.03.2022) Folder

      Formula collection of the course (pdf and docx)

    • File icon
      List of points (update 04.06.2022) File
      PDF document

      Grading of assignments, exams etc.

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      Exam 12.04.2022 Folder
      Not available unless: You are a(n) Student
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      Exams 02.06.2022 Folder
      Not available unless: You are a(n) Student