MATRIX ANALYSIS OF FRAMED STRUCTURES

Matrix Algebra, Nodal forces and nodal displacements, The stiffness matrix of a linear spring in the local coordinate system. The stiffness matrix of two springs in series. Properties of the stiffness matrix. Calculation of the internal forces in the members of plane frames.

The direct stiffness method.

Analysis of trusses: The pinned bar element. Transformation of coordinates from the local to the global coordinate system. The transformation matrix. The stiffness matrix of a bar in the global coordinate system. Application of the direct stiffness method for the analysis of plane trusses.

Beams and frames: The beam element, Calculations of the element stiffness matrix with the unit load method. Analysis of continuous beams subjected to nodal and distributed loads. The stiffness matrix of beams in the global coordinate system. Analysis of frames with the direct stiffness method.

Special Topics: Internal Member Releases, Member End Length Offsets, Diaphragms.

Additional information
LEARNING OUTCOMES

SEMESTER	5th
eclass	https://eclass.upatras.gr/modules/document/?course=CIV1680
Details	https://www.civil.upatras.gr/index.php/odhgos/
Instructor	FAVVATA MARIA, SFAKIANAKIS MANOLIS
LANGUAGE OF INSTRUCTION and EXAMINATIONS	Greek
Credits ECTS	6
Teaching Hours	5
Erasmus+	No
Code	CIV_6221Α

By the end of this course the student will have develop the following abilities:

1. Express structure loads as equivalent nodal loads.

2. Recognize the significant degrees of freedom of a structure and to evaluate the effect of various bending and axial deformations on the nodal deformations of interest.

3. Construct the stiffness matrix of a structure and compute nodal deformations and reactions.

4. Enter the data of the geometry and the loads of a given frame into the commercially available software , SAP2000 and perform the static analysis of the frame on a computer.

5. Interpret the analysis results presented in the form of diagrams.