Syllabus

LEARNING OUTCOMES

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: 07.01.2025 - 20.02.2025

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

CONTENT, ASSESSMENT AND WORKLOAD

Content

• 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:
  Exam

  (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).

Workload

• 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%)

DETAILS

Study Material

• valid for whole curriculum period:

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

Substitutes for Courses

• valid for whole curriculum period:

  Substitutes for Courses

Prerequisites

• valid for whole curriculum period:

  Prerequisites

SDG: Sustainable Development Goals

9 Industry, Innovation and Infrastructure

11 Sustainable Cities and Communities

FURTHER INFORMATION

Further Information

• valid for whole curriculum period:

  Teaching Language: English

  Teaching Period: 2024-2025 Spring III
  2025-2026 Spring III

  Registration: Registration in the Sisu-system is required.

Description