Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


1. Understanding of the role of the three-dimensional elasticity theory in (bar, beam, membrane,) plate and shell models in analyzing the mechanics of structures
2. Understanding of the energy and equilibrium approaches in deriving and formulating (bar, beam, membrane,) plate and shell models
3. Ability to derive the (beam and) plate models of statics and free vibrations within the theory of elasticity
4. Ability
to apply plate and shell models to various types of structural analyses and to solve the corresponding partial differential equations by the most relevant analytical solution methods

Credits: 5

Schedule: 09.01.2024 - 22.02.2024

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Jarkko Niiranen

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English


  • valid for whole curriculum period:

    Week 1:
    2D and 3D theories of elasticity
    Week 2:
    Kirchhoff plate model
    Week 3:
    Reissner--Mindlin plate model
    Week 4:
    Models for orthotropic, stiffened, sandwich and laminate plates
    Week 5:
    Vibrations of membranes and plates
    Week 6:
    Shells models
    Week 7:

    (The actual order of some of the weeks 1--6 may vary.)

Assessment Methods and Criteria
  • valid for whole curriculum period:

    1. Theoretical home assignments:
    - returned according to weakly deadlines (assessed weekly by assistants)

    2. Final exam:
    - on week 7 (assessed by the lecturer)

    The final grade (0--5) is composed of the points collected from the final examination (50% = 18 pts) and exercise assignments (50% = 18 pts). The passing grade 1 can be achieved by about 50% (18 pts) of the total maximum (36 pts).

  • valid for whole curriculum period:

    Lectures: 2 double-hours per week (24 h = 18%)
    - contact teaching: attending the lectures (pre-browsing, listening, writing notes, asking etc.)

    Reading: 2 double-hours per week (24 h = 18%)
    - self-studies: reading and writing the derivations in the lecture slides and/or textbook

    Theoretical Exercises: 1--2 double-hours per week (12--24 h = 9--18%)
    - contact teaching: advice hours for theoretical hands-on exercises instructed by assistants

    Theoretical Home Assignments: 6--8 hours per week (36--48 h = 27--36%)
    - 4-6 per week
    - self-studies for theoretical hands-on exercises: problem solving, calculating, writing solution documents

    Final exam and preparation: 3 + 10 hours (13 h = 10%)


Substitutes for Courses
SDG: Sustainable Development Goals

    9 Industry, Innovation and Infrastructure

    11 Sustainable Cities and Communities


Further Information
  • valid for whole curriculum period:

    Teaching Language : English

    Teaching Period : 2022-2023 Spring III
    2023-2024 Spring III

    Enrollment :

    Registration in the Sisu-system is required.