### TMHL03/Mechanics of Light Structures, 6 ECTS credits/Hållfasthetslära; Lätta konstruktioner/

For: I Ii M MI Y

**COURSE LANGUAGE ENGLISH**

**Detailed information for ht2 2017**

Course Information

Laboratory work - Circular plates

Examples to Solve

Solutions to the examples

Solutions to the Contact Mechanics examples

Short summary of formulas

Lecture notes - In-plane loaded Plates in Cartesian coordinates

Lecture notes - In-plane loaded Plates in Polar coordinates

Lecture notes - Bending of Plates in Cartesian coordinates

Lecture notes - Bending of Plates in Polar coordinates

Lecture notes - Plates under combined lateral and in-plane loads

Lecture notes - Shells of revolution

Lecture notes - Membrane and bending stresses in axi-symmetrically
load thin cylindrical shells

Lecture notes - Contact mechanics

Assignment 1 - An in-plane loaded plate in Cartesian coordinates

Assignment 2 - An in-plane loaded plate in Polar coordinatess

Assignment 3 - A rectangular plate

Numerical Assignment Values Generator

Participant list

Previous Exams

The TRINITAS Project

**Prerequisites:**

Multi-variable calculus, basic Solid Mechanics including multi-axial stress states

**Further studies:**

TMHL61 Damage Mechanics and Life Analysis, TMHL41 Continuum Mechanics,
TMHL62 The Finite Element Method- advanced course, TMHL55 Mechanics of Materials,
TMHL16 Project course in Solid Mechanics/Engineering Materials, TMMI42/37 The Finite Element Method- FEM,
TMMI09 Mechanical vibrations and fatigue

**Aim**

The course is to give the student a basic knowledge of the relations needed in order
to analyze thin walled structures (plates and shells) with respect to stresses and deformations,
and the ability to independently apply this knowledge to concrete problems.
At the end of the course, the student shall be able to

- give an account of basic aspects of classical plate and shell theory
- solve problems regarding the stress- and deformation states in loaded thin-walled structures
- identify unrealistic results

**Organisation**

Lectures, teaching classes, laboratory work

**Course contents**

Basic relations of Solid Mechanics, classical theory for in plane loaded plates
including the Airy stress function,
the Kirchhoff plate theory with applications to strip plates,
symmetrically loaded circular plates and simply supported rectangular plates,
buckling analysis of simply supported rectangular plates, membrane theory for shells of revolution,
bending theory for symmetrically loaded cylindrical shells with applications to tanks and pressure vessels.

**Course literature**

- Ugural A.C., Stresses in plates and shells, McGraw-Hill
- Sundström B. (red), Handbok och formelsamling i Hållfasthetslära, Institutionen för Hållfasthetslära, KTH
- material handed out

**Examination**

Written exam

Laboratory work

**Contact**

Bo Torstenfelt

Page responsible: Bo Torstenfelt

Last updated: 2017-10-25