School / Prep
ENSMAC
Internal code
PS6ASFIL
Description
This course is an introduction to structural analysis techniques. It shows the theoretical foundations of the displacement matrix method and how it has been developed into a systematic method to be programmed into structural design codes. By the end of this course, students should be able to analyze bar and beam structures using the displacement matrix method manually.
Teaching hours
- CIIntegrated Courses39h
Mandatory prerequisites
No special prerequisites
Syllabus
Chapter I- General concepts in structural analysis, lattices
Structural models, the discrete nature of a structure, "direct" calculation of a structure.
Chapter II- Solving systems of equations
matrix writing, Gauss Pivot method.
Chapter III- Matrix method of displacements applied to lattices
Global stiffness matrix of a structure, physical meaning of the general term, elementary stiffness matrix, assembly of the global stiffness matrix.
Chapter IV- Beam theory
Definitions, generalized displacements, generalized strains, forces, force-strain relationships, models for plane problems, solving plane problems.
Chapter V- Stiffness matrix of a beam element
Beam models, methods of constructing the elementary stiffness matrix, Bernoulli-type element, taking account of span forces.
Further information
Engineering sciences and techniques
Bibliography
All Structural Analysis books
Assessment of knowledge
Initial assessment / Main session - Tests
Type of assessment | Type of test | Duration (in minutes) | Number of tests | Test coefficient | Eliminatory mark in the test | Remarks |
---|---|---|---|---|---|---|
Continuous control | Continuous control | 0.4 | ||||
Final inspection | Written | 160 | 0.6 |
Second chance / Catch-up session - Tests
Type of assessment | Type of test | Duration (in minutes) | Number of tests | Test coefficient | Eliminatory mark in the test | Remarks |
---|---|---|---|---|---|---|
Final test | Written | 80 | 1 |