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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
LMU111 - Strength of materials, advanced course
Hållfasthetslära, fortsättningskurs
Syllabus adopted 2020-03-03 by Head of Programme (or corresponding)
Owner: TIMAL
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: English
Application code: 65121
Open for exchange students: Yes
Maximum participants: 50
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0102 Examination 7,5c Grading: TH   7,5c   12 Jan 2021 pm L   07 Apr 2021 pm L,  24 Aug 2021 pm L

In programs

TIMAL MECHANICAL ENGINEERING - Machine Design, Year 3 (compulsory)


Gert Persson

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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

The courses LMA401 Calculus, MVE580 Linear algebra and differential equations, LMT202 Mechanics, TME255 Strength of materials, LMA017 Mathematical analysis in several variables and LMU120 Applied FEM-analysis, or corresponding knowledge.


The advanced course in solid mechanics provides specialized knowledge in solid mechanics with emphasis on the multiaxial stress state and the elementary theory of discs, plates and shells. The course covers thus multiaxial stress and deformations with technical applications. It aims to provide the necessary skills required in order to calculate the stresses and deformations in sheet, plate and shell structures of various simple geometries.

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

  • explain, manipulate and use the stress tensor.
  • use Mohr's stress circle to determine principal stresses.
  • apply the principle of Saint-Venant.
  • describe and analyze plane stress and plane strain problems.
  • determine stress concentration factors and stress distribution in the vicinity of sharp changes in geometry and discontinuities in applied loads
  • apply Castigliano's theorem
  • analyze bending of shells.
  • describe and analyze aspects of elastic instability
  • solve multiaxial stress problems
  • manage differentiation operators in strength of materials problems.
  • select analysis methods and solve strength of materials problems by using the given method.
  • deal with algebraic expressions in a strength of materials context
  • carry out analysis of stresses and deformations of discs, plates and simpler shells


The course is a continuation of TME255 Strength of materials. The course treats multiaxial stresses with special application of two-dimensional theory of elasticity applied to plates and shells.

The following areas will be investigated in this course:
  • General strain and stress relations in two and three dimensions.
  • Two-dimensional problems in elasticity.
  • Bending of beams.
  • Torsion of prismatic bars.
  • Axisymmetrically loaded members with thermal loads.
  • Beams on elastic foundations.
  • Energy methods.
  • General theory for plates and shells.
  • Methods for analysis.


Teaching the lesson the form of lectures and demonstration elements of the bills.

Lectures (56 hours) and individual work (144 hours).


C. Ugural och S. K. Fenster: mechanics of materials and applied elasticity, 5ed, Prentice Hall (2012).

Examination including compulsory elements

Written examination. Alternative or complementary forms of examination may occur. Final grade 3, 4 or 5.

Page manager Published: Thu 04 Feb 2021.