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 2024-2025

Facts

Course code

MSK530

Version

1

Credits (ECTS)

10

Semester tution start

Spring

Number of semesters

1

Exam semester

Spring

Language of instruction

English

Offered by
Time table

View course schedule

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.

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

Required prerequisite knowledge

None

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Basic calculator

The written exam is conducted with pen and paper.

Coursework requirements

Mandatory exercises, 2/3 must be approved before taking the exam
9 mandatory exercises, 2/3 must be approved within the given deadlines, before taking the exam.

Course teacher(s)

Course coordinator:

Dimitrios Pavlou

Head of Department:

Mona Wetrhus Minde

Method of work

6 hours lectures each week. Compulsory assignments.

Overlapping courses

Course Reduction (SP)
Mechanics of Solids, advanced course (MOM130_1) 10

Open for

Structural and Mechanical Engineering - Master of Science Degree Programme Marine and Offshore Technology - Master of Science Degree Programme
Exchange programme at Faculty of Science and Technology

Course assessment

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Literature

Search for literature in Leganto