(Created 2011-09-01.)

SOLID MECHANICS, BASIC COURSE | FHL013 |

**Aim**

The aim is to achieve such a knowledge within solid mechanics that every Master of Mechanical Engineering is expected to possess.

*Knowledge and understanding*

For a passing grade the student must

- have the ability to understand and apply the principles of classic solid mechanics.

*Skills and abilities*

For a passing grade the student must

- have achieved the knowledge that is necessary for participation in the various advanced courses within solid mechanics.

*Judgement and approach*

For a passing grade the student must

- be able to analyse, evaluate and design commonly encountered construction elements.

**Contents**

The content of the course is given by the description of the separate courses.

**Literature**

Ljung, C., Ottosen, N.S. and Ristinmaa, M., "Introduktion till Hållfasthetslära. Enaxliga tillstånd. Studentlitteratur 2007. ISBN 978-91-44-04898-7.

Ottosen, N.S., Ristinmaa, M. och Ljung, C., "Hållfasthetslära. Allmänna tillstånd". Studentlitteratur 2007. ISBN 978-91-44-05032-4.

"Handbok och formelsamling i Hållfasthetslära", KTH

**Code: **0199.
**Name: **Solid Mechanics, Basic Course I.

**Higher education credits: ** 7,5.
**Grading scale: **UG.
**Assessment:** See general description in the beginning.
**Contents:** The course treats uniaxial stress and deformation analysis with application to design wih respect to allowable stresses and deformations in bars under axial loads, beams under bending loads, and circular bars under twisting loads. The basic concepts of normal and shear stress, normal and shear strain are defined. Based on measurements on uniaxial test pieces idealized constitutive models are formulated, which exhibit elastic, plastic and viscoelastic behaviour. The difference between statically determinate and indeterminate problems are discussed with respect to the solution methodology, and the need for deformation conditions at statically indeterminate problems is paid attention. Elementary stability theory for axially compressed struts is discussed, and design with respect to the Eulerian elementary cases is treated.

**Code: **0299.
**Name: **Solid Mechanics, Basic Course II.

**Higher education credits: ** 7,5.
**Grading scale: **UG.
**Assessment:** See the description in the beginning.
**Contents:** The uniaxial concepts from AKI are first generalized, i.e. the general elastic boundary value problem is formulated (this comprises the generalized stress and strain state, Hooke's generalized law, the general equilibrium equations and the corresponding boundary conditions). As examples of solution or the general elastic boundary value problem, torsion of beams with non-circular cross-section and the response of axisymmetric discs are treated. Then the theory of strain gauges is given and the practical application is illustrated in a laboratory task. As design criteria for structural and mechanical components, yield criteria, fracture mechanics and fatigue are considered. Then a systematic matrix approach for analysis of truss structures is given and the principle of virtual work is introduced. Finally, an introduction to the dynamic response of simple structures is given.