Enkeltfag Danish 5 ECTS

Structural mechanics

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Overall Course Objectives

The goal of the course is to give a basic understanding of how structures work, and provide knowledge of theory and applied methods for analysis and design of simple structures. The course provides the basis for courses in structural design and more advanced theory of structural elements.

The main theme of the course are beams and their role in statically determinate beam and frame structures. Central elements of the course are: determination of reactions, internal forces and moments and beam deflections for given loads and boundary conditions, in addition to the notion of stress, as well as simple stress states associated with extension, bending and torsion of beams. In addition the course deals with solid mechanics subjects such as stress and strain analysis, as well as elastic properties of isotropic structural materials. The theory is practiced and illustrated through relevant exercises and two larger project assignments.

Determine reaction forces in statically determinate beam and frame structures with internal hinges.
Determine section forces in statically determinate beam and frame structures with internal hinges.
Explain the quantities of stress and strain, and their relation with respect to elastic materials.
Analyze a given stress state with respect to multi-axial loading
Analyze bending of elastic beams with single- and double-symmetric cross sections.
Determine normal and shear stresses in elastic beams in plane bending.
Determine stiffness and stresses in beams in homogeneous torsion.
Produce and present calculations in a structured and readable form.

The course consists of lectures, exercises and project assigments. The aim of the exercises is to practice the methods of calculation, whereas the project assignments take an applied perspective. The following main topics are treated in the course:

1. Reaction and section forces for plane beam and frame structures with internal hinges.

2. Deformations for plane beam and frame structures with internal hinges.

3. The notion of stress and deformation of elastic materials.

4. The generalized Hooke’s law.

5. Bi-axial bending of beams with single- and double-symmetric cross-sections: The Navier stress distribution.

6. Shear stresses in elastic beams: The Grasshof formula.

7. Homogeneous torsion of elastic beams with open or closed cross sections.

6 – 20 (Tues 13-17)

62331, Basic skills in statics from the course 62331.

Lectures, group assignments and exercises.

Hans Holger Hundborg Koss

Jacob Paamand Waldbjørn

See course in the course database.

Registration

Language	Danish
Duration	13 uger
Institute	Institut for Byggeri og Mekanisk Teknologi
Place	DTU Lyngby Campus
Course code	41236
Course type	Graduate Engineer
Semester start	Week 6
Semester end	Week 20
Days	Tues 13-17