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Mechanics of Solids, Advanced Course MSK530

Stress and strain in three dimensions. Tensor notation, Fundamentals of linear elasticity theory. Stress function solutions in two-dimensional stress and strain problems. Contact stresses. Introduction to plasticity theory; yield criteria, flow rules, hardening, residual stresses. Advanced beam theory. Torsion. Axially symmetric deformation of pressure vessels, plates and axisymmetric shells. Plate theory. Stress concentrations. Crack propagation. Elastic instability of columns and plates.


Course description for study year 2021-2022. Please note that changes may occur.

Facts
Course code

MSK530

Credits (ECTS)

10

Semester tution start

Spring

Number of semesters

1

Exam semester

Spring

Language of instruction

English

Offered by

Faculty of Science and Technology, Department of Mechanical and Structural Engineering and Materials Science

Learning outcome
After completing this course the students will:
  • Be able to carry out stress and strain analyses of different load bearing elements and/or constructions
  • Understand the response of individual elements to the applied loads in both elastic and plastic regime and after unloading
  • Be able to dimension various elements of constructions subjected to a wide range of loading conditions
  • Be able to apply the knowledge on calculation of real constructions
Content
Stress and strain in three dimensions. Tensor notation, Fundamentals of linear elasticity theory. Generalized Hooke's law. Stress function solutions in two-dimensional stress and strain problems. Energy methods (Principle of stationary potential energy, Castigliano's theorem). Contact stresses. Introduction to plasticity theory; yield criteria, flow rules, hardening, residual stresses. Advanced beam theory. Torsion. Axially symmetric deformation of pressure vessels, plates and axisymmetric shells. Plate theory. Stress concentrations. Elastic stability of columns and plates. Crack propagation and Stress Intensity Factor. 
Required prerequisite knowledge
None
Exam
Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours A - F Basic calculator.

Coursework requirements
Mandatory exercises, 2/3 must be approved before taking the exam

1. 9 mandatory exercises, 2/3 must be approved before taking the exam

 Mandatory work demands (such as hand in assignments, projects, etc) must be approved by subject teacher within the given deadlines.

Course teacher(s)
Course coordinator: Dimitrios Pavlou
Head of Department: Tor Henning Hemmingsen
Method of work
6 hours lectures each week. Compulsory assignments. 
Open for
Engineering Structures and Materials - Master's Degree Programme Marine- and Offshore Technology - Master's Degree Programme Exchange programme at Faculty of Science and Technology
Course assessment
By form and/or by discussions in class in accordance with university regulations.
Overlapping courses
Course Reduction (SP)
Mechanics of Solids, advanced course (MOM130) 10
Literature
Search for literature in Leganto