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Structural Models in Solid Mechanics 7.5 credits

Modeller inom solidmekaniken
Second cycle, M7005T
Course syllabus valid: Autumn 2021 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Education level
Second cycle
Grade scale
G U 3 4 5
Solid Mechanics
Subject group (SCB)
Mechanical Engineering

Entry requirements

Technical university basic course in strength of materials, solid mechanics or continuum mechanics, e.g. MTM118/M0011T or MTM113/F0030T at LTU.

More information about English language requirements


The selection is based on 20-285 credits

Course Aim
The student shall be able to - apply the elementary theory of in-plane and transversally loaded plates and thin-walled shells of a linear elastic material in problem solving in practice, - calculate stress and deformation in such structural elements, - perform and analyse experiments with related structural elements, - analyse related problems from practice and perform problem solving methodically.

Minimum potential energy theorem. Castigliano’s theorems. Virtual work. In-plane loaded plates. Basic equations and Airy’s stress function. Inverse solutions for whole-plane and half-plane plates. Transversally loaded plates. Basic equations in cartesian coordinates. The Kirchhoff plate equation. Rectangular plates and boundary conditions. Fourier’s method of solution. Numerical solutions. The method of Rayleigh and Ritz’. Circular plates. Basic equations and boundary conditions. Standard solutions. Shells. Basic equations. The membran state of shells. Shells of circular symmetry and circular symmetric loading. The differential equation of bending of cylindrical shells, its solution and boundary conditions. Cylindrical pressure vessels with plane and spherical ends.

Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.
There are lectures, exercises, a case study and a laboratory exercise. The theoretical part is dealt with in the lectures and the practical application through examples in the exercises and a case study (a numerical computerised exercise). In the laboratory exercise the bending of plates is studied analytically, experimentally and numerically.

If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.
At the end of the course there is a written examination. The case study and the laboratory exercise shall be reported in written form.

Hans-åke Häggblad

Transition terms
The course M7005T is equal to MTM127

Literature. Valid from Autumn 2011 Sp 1 (May change until 10 weeks before course start)
Kompendium: Skivor, plattor och skal, LTU.
Exempelsamling i hållfasthetslära (Skivor, Plattor, Skal), LTU.
Handbok och Formelsamling i hållfasthetslära, LTU.

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleCrStatusFrom periodTitle
0002Laboratory workU G#1.50MandatoryS07
0003Comulsory assignmentsU G#1.00MandatoryS07
0004Written examG U 3 4 55.00MandatoryA21

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
The syllabus was established by the Department of Applied Physics and Mechanical Engineering 2007-02-28, and remains valid from autumn 2007.

Last revised
by Head Faculty Programme Director Niklas Lehto 17 Feb 2021