# Structural Analysis of Statically Determinate Structures

## Course Description:

Structural analysis of statically determinant structures is the foundation of understanding Structural Mechanics. Therefore this course forms the basis in Civil Engineering studies and the forthcoming professional career. The course offers a systematic study the internal forces and deformations of structural systems, the behavior of which is governed by the equilibrium, which is the most fundamental principle of Engineering.

• Semester 4
• Teaching hours 4
• Instructors

### Prerequisite Knowledge

All courses in Mechanics (Solid and Dynamics of the Solid Body, Mechanics of the Deformable Body.

### Course Units

# Title Description Hours
1 Introduction Introduction to structural analysis. Rigid formations and structures. Types of loading. Support types. Equilibrium equations. Structural determinate systems. 4
2 Two dimensional structures. Statical indeterminacy. Plane frames. Composition of a structure. Calculation of statical indeterminacy. 4
3 Geometric instability Definition and ways to assess geometric instability. Assumptions of small deformations’ theory. 4
4 Internal forces, fundamental structural systems. Internal forces, bending theory of beams, Moment, shear and axial force diagrams for simply supported beams, cantilevers and frames. Qualitative diagrams. 4
5 Composite structural systems Structures with internal releases (hinges). Gerber-type beams and frames. 4
6 Three-hinged arches. Three-hinges’ arches and frames 4
7 Structural systems with no bending Cable-beam structural systems. Trusses. Cables. 4
8 Special structures. Structures with lifting systems. Suspended structural systems. 4
9 Energy principles. The principle of virtual work. The principle of virtual work in beam-type structures. Euler-Bernoulli and Timoshenko theory. 4
10 Calculation of displacements The unit load method. Calculation of displacements of statically determinate structures. 4
11 Influence lines Influence lines definition. Influence lines calculation of internal forces. Simply supported and overhanging beams. 4
12 Influence lines of composite structural systems. Influence lines of Gerber-type beams and frames. Extreme values of internal forces – Envelopes. 4
13 Three dimensional structures Out of plane loading of two-dimensional framed structures. Calculation of internal forces and deformations of simple girders. 4

### Learning Objectives

Upon successful completion of the course, students will be able to:

Understand equilibrium Understand the behavior of determinate structures Draw bending, shear and axial force diagrams of determinate structures Understand the principle of virtual work

### Teaching Methods

 Teaching methods Class lectures and workshops. Theory-Applications and Exercises from the Black-Board. Yes Yes Yes

### Student Assessment

• Final written exam: 70%
• Assignments (projects, reports): 30%

### Textbooks - Bibliography

1) Statics of structures – Vol. Ι Theoretical Principles and statically determinate structures, Avramidis Ι, 2004, Avramidis I, Thessaloniki. 2) Statics of structures Vol. A’, Stavridis L., 2008, Kleidarithmos, Athens.

3) Applied Statics, Wagner W., Erhof G., K, 2012, Kleidarithmos, Athens.

4) Statics of skeletal structures, Valiasis Th., 2013, Zitis, Thessloniki.

5) Statics of skeletal structures-Determinate structures, Sapountzakis Ε., 2014, Tsiotras, Athens.

## Lecture Time - Place:

• Monday, 09:45 – 11:30,
Rooms:
• Ζ. Κτ. 1 Πολ., Αιθ. 1
• Ζ. Κτ. 1 Πολ., Αιθ. 7
• Friday, 10:45 – 12:30,
Rooms:
• Αιθ. 17
• Ζ. Κτ. 1 Πολ., Αιθ. 12

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