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Classic energy principles and their application on steel and reinforced concrete structures (2014)

Name of course:

Classic energy principles and their application on steel and reinforced concrete structures


ECTS credits:

5


Course parameters:

Language: English

Level of course: PhD course

Time of year: Fall 2014 (one week)

No. of contact hours: 30

No. of hours in total incl. preparation, assignments and the like: 150

Capacity limits: None


Objectives of the course:

The extremum principles (upper and lower bound theorems) have been found to be particularly useful in the design of structures, and for determining the strength of the structures. This is because they are relatively simple to use, they give good agreement with experiments, and give a good physical understanding of the structural behavior in the ultimate limit state (ULS). These principles do not relate  to the absolute values of the geometrical sizes, and therefore other methods must be used to assess the behavior in the serviceability limit state (SLS), and to assess the (required) ductility of the structures. For this application, the energy principles have proved to be useful. There is also a strong link between the extremum principles and the energy principles, whereby a comprehensive understanding of the behavior in the SLS and ULS is achieved. Thereof is obtained a clear picture of how the choices that have been made in the design of the structure in the ULS have very direct impact on the behavior in the SLS.


Learning outcomes and competences:

At the end of the course, the student should be able to:

-       Explain the theoretical basis of the energy principles

-       Explain the necessary prerequisites with respect to modeling of the materials

-       Explain the relationship between the physical behavior in the SLS and ULS

-       Apply the principles on arbitrary structures

-       Evaluate structures/structural element at the serviceability limit state

-       Critically assess the results obtained


Compulsory programme:

Active participation at the theoretical lessons is required to obtain the course diploma. Approved oral presentation and report.



Course contents:

  • Material modelling
  • Work equation
  • Strain Energy
  • Equilibrium (stable, neutral, and unstable equilibrium)
  • Elastic Modelling
  • Potential Energy
  • Minimizing Potential Energy
  • Redistribution
  • Ductility
  • Applications of principles on various types of structural elements (bars, discs, beams, plates, shells etc.).


Prerequisites:

Course in “Theory of plasticity and application on steel and reinforced concrete structures. Extremum Principles”



Name of lecturer:

Lars German Hagsten


Type of course/teaching methods:

Combined lectures and exercises


Literature:

L. G. Hagsten, J. Fisker, L. Hestbech: ”Energy principles. Part 1: Theory and background”. 2010

L. G. Hagsten, J. Fisker, L. Hestbech: ”Energy principles. Part 1: Theory and background. Examples”. 2011

L. G. Hagsten, J. Fisker, L. Hestbech: ”Energy principles. Part 3: Concrete Structures. Theory”. 2012

L. G. Hagsten, J. Fisker, L. Hestbech: ”Energy principles. Part 4: Concrete Structures. Examples”. 2012

 

Course homepage:

None

 

Course assessment:

Oral examination at the end of the course week + approval of a subsequent submitted assignment (Passed/not Passed). It should be noted that the course/the written assignment requires a great deal of work in the weeks/months following the course week and until delivery of the assignment

 

Provider:

Department of Engineering

 

Special comments on this course:

 

Time:

3 – 7 November 2014 (please note the subsequent assignment)

 

Place:

Aarhus University

 

Registration:

For registration: Please contact Lars German Hagsten, e-mail lgh@iha.dk

If you have any questions, please contact Lars German Hagsten, e-mail lgh@iha.dk

 

Comments on content: 
Revised 20.06.2016