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## Syllabus for

TME061 - Strength of materials and machine elements

Owner: TKIEK
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: First-cycle
Major subject: Mechanical Engineering
Department: 42 - APPLIED MECHANICS

Teaching language: Swedish

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 Summer course No Sp 0114 Design exercise 2,0c Grading: UG 2,0c 0214 Examination 5,5c Grading: TH 5,5c 31 May 2017 am H, 07 Oct 2016 pm M, 22 Aug 2017 am M

#### In programs

TKTEM ENGINEERING MATHEMATICS, Year 2 (elective)
TKTEM ENGINEERING MATHEMATICS, Year 3 (compulsory elective)
TKIEK INDUSTRIAL ENGINEERING AND MANAGEMENT - Production engineering, Year 3 (compulsory)

#### Examiner:

Forskarassistent  Jim Brouzoulis
Professor  Magnus Ekh

#### Replaces

TME060   Applied mechanics

#### Eligibility:

In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

#### Course specific prerequisites

mathematics (linear algebra, differential equations and integrals) and mechanics (statics).

#### Aim

The main aim is to give the participants a fundamental engineering knowledge about the design of constructions. Therefore an understanding of terminology, methods and limitations used in the engineering discipline strength of materials is needed as well as a capability to solve smaller design problems. Further, it is important to judge whether the solutions of the problems are reasonable and to be able to predict function and reliability of some of the most common machine elements.

#### Learning outcomes (after completion of the course the student should be able to)

- describe and to compute fundamental notions such as deformations, strains, stresses, compatibility and stability
- discuss the importance of constitutive equations and to apply elasticity, thermo-elasticity and ideal plasticity
- calculate forces, stress, deformations and strains on the whole and parts of constructions. In particular, to analyse basic elements such as bars, shafts, beams and pipes
- judge the risk of instability of axially loaded columns - compute and explain the importance of principal stresses and effective (equivalent) stresses
- recognize the notions: stress concentration, stress intensity factor and fatigue
- apply the finite element method for stress analysis of simple structures
- design some of the most common machine elements and show orientation of other machine elements
- mathematically model, i.e. to formulate mathematical equations based on experimental knowledge, the mechanical behaviour of bars, shafts, beams and pipes
- judge how accurate this mathematical model is and whether or not a more accurate analysis must be performed

#### Content

The course contains the following parts:
- determination of deformations, strains, internal forces and stresses for uniaxial conditions: tension/compression of bars, torsion of circular shafts and closed thin walled cross section, bending of beams
- instability of columns
- constitutive equations such as Hooke's law in uniaxial and multiaxial conditions, thermoelasticity and ideal plasticity
- yield conditions for metals
- multiaxial stress and strain conditions and principal stress
- introduction to the finite element method
- stresses and strains in thin walled cylindrical and spherical pressure vessels
- design of screws, springs and bearings

#### Organisation

Lectures, classes and supervision of assignments

#### Literature

Literature in strength of materials and machine elements

#### Examination

Written exam and compulsory assignments

Page manager Published: Thu 04 Feb 2021.