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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
TME061 - Strength of materials and machine elements  
Hållfasthetslära och maskinelement
Syllabus adopted 2019-02-21 by Head of Programme (or corresponding)
Owner: TKIEK
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Major subject: Mechanical Engineering

Teaching language: Swedish
Application code: 51128
Open for exchange students: No
Only students with the course round in the programme plan

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   02 Jun 2021 am J,  09 Oct 2020 pm J,  24 Aug 2021 am J

In programs

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


Magnus Ekh

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General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

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


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


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


Lectures, classes and supervision of assignments


Literature in strength of materials and machine elements

Examination including compulsory elements

Written exam and compulsory assignments

Page manager Published: Thu 04 Feb 2021.