Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), 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 crucial analytical solution methods.

Credits: 5

Schedule: 12.01.2021 - 28.02.2021

Teacher in charge (valid 01.08.2020-31.07.2022): Jarkko Niiranen

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

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

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English


  • Valid 01.08.2020-31.07.2022:

    Week 1:
    2D and 3D theories of elasticity (and bar model)
    Week 2:
    Kirchhoff plate model (and Euler--Bernoulli beam model)
    Week 3:
    Reissner--Mindlin plate model (and Timoshenko beam model)
    Week 4:
    Models for orthotropic, stiffened, sandwich and laminate plates
    Week 5:
    Vibrations of (bars, beams,) 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 01.08.2020-31.07.2022:

    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 (67% = 18 pts) and exercise assignments (33% = 9 pts). The passing grade 1 can be achieved by about 50% (14 pts) of the total maximum (27 pts).

  • Valid 01.08.2020-31.07.2022:

    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 + 22 hours (25 h = 19%)


Study Material
  • Valid 01.08.2020-31.07.2022:

    Primary course material:
    - Lecture slides and home assignments
    - Text book by Eduard Ventsel and Theodor Krauthammer: Thin Plates and Shells: Theory: Analysis, and Applications. CRC Press, 2001 (available as an E-book in the university library)

    Secondary course material:
    1. Arbind Kumar Singh: Mechanics of Solids, PHI Learning Private Limited, 2007.
    2. Clive L. Dym and Irving H. Shames: Solid Mechanics, A Variational Approach, Augmented Edition, Springer, 2013.

Substitutes for Courses
  • Valid 01.08.2020-31.07.2022:

    Course CIV-E4090 Mechanics of Plate and Shell Structures can be replaced by course Rak-54.3110 Plate and Shell Structures.

    Course Rak-54.3110 Plate and Shell Structures can be replaced by course CIV-E4090 Mechanics of Plate and Shell Structures.

  • Valid 01.08.2020-31.07.2022:

    - Basic courses of BSc level engineering mathematics, physics, mechanics and computer science
    - Common studies (compulsory) courses CIV-E1060 Engineering Computation and Simulation, CIV-E1020 Mechanics of Beam and Frame Structures
    - Preferably Common studies (compulsory) course CIV-E1030 Fundamentals of Structural Design

SDG: Sustainable Development Goals

    9 Industry, Innovation and Infrastructure

    11 Sustainable Cities and Communities



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