Topic outline

  • This course is one of the elective courses for the modules Advanced Studies or Elective Studies of the MSc program Building Technology. Students from other programs with appropriate prerequisites are naturally welcome as well.


    The course covers period III and starts with a lecture on Tuesday the 10th of January at 14. (Please note that in the academic system of ours "at 14" means "at 14.15" by default, whereas 14.00 is another thing.)

    Week 1: no Monday exercises, the course starts with a Tuesday lecture
    Week 6: no Friday exercise session, compensating elective Project Works on Topic 6
    Week 7: no other activities than the examination


    Registration to the course in the SISU-system is required.


    Professor-in-Charge: Associate Professor Jarkko Niiranen
    Lecturers: Associate Professor Jarkko Niiranen, Professor Antti Niemi (University of Oulu)
    Assistants: Teaching Assistant Mikhail Koshelev


    Tuesdays 14--16 and Thursdays 14--16 (room R5)


    Fridays 14--16 (R5) and Mondays 14--16 (online via Zoom:


    It should be noticed that more than 60% of the hours related to "the holy trinity" teaching--studying--learning is related to independent studying (reading and preparation 28%, assignments 36%), whereas contact teaching covers the smaller complement (lecture sessions 18%, exercise sessions 18%, examination 2%).

    The following nominal hours (total 133) should guarantee for a student with average prerequisites (grade 3, good) middle range learning outcomes (with the average grade 3, good).

    Contact Teaching -- Lectures 18%: 
    - 2 double-hours per week (total 24)
    - attending the lectures: pre-browsing, listening, writing notes, asking etc.
    Contact Teaching -- Exercise Sessions 18%: 
    - 2 double-hour per week (total 24)
    - advice hours for hands-on exercises (instructed by the assistants)

    Independent Studying -- Reading 18%: 
    - 2 double-hours per week (total 24)
    - self-studies: reading and writing the derivations in the lecture slides and/or textbook
    Independent Studying -- Assignments 36%:
    - 8 hours per week (total 48)
    - self-studies for theoretical, hands-on exercises: problem solving, calculating, writing solution documents

    Final Exam and Preparation 10%: 
    - 3 + 10 hours (total 13)


    1. Knowing well the basics of the three dimensional elasticity theory.
    2. Understanding the energy and equilibrium approaches for formulating linear beam, plate and shell models.
    3. Ability to apply linear plate and shell models to various structural analyses and to solve the corresponding partial differential equations.
    4. Ability to analyze various rectangular and circular plate problems by solving the related boundary value problems.
    5. Ability to analyze shells of revolution in the membrane state.
    6. Understanding of the edge effects in the analysis of shells of revolution.


    Exam 1 (taking place on the 22nd of February at 13--16) will be a standard class room exam:
    -- nothing else than a pencil (or pen) and an eraser will be allowed
    -- some items of the problems might be mini-essays without any calculations,
    -- most of the items of the problems will require similar calculations as the weekly home exercises.

    Exam 2 (Apr 18, 9--12) will be similar. No more exams will follow before the next year course.