Structural Analysis
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
132STA | Z,ZK | 5 | 2P+2C | English |
- Grading of the course requires grading of the following courses:
- Structural Mechanics 3 (132SM3E)
Theory of Elasticity (132TELA) - Lecturer:
- Jan Zeman (guarantor), Petr Řeřicha (guarantor)
- Tutor:
- Jan Zeman (guarantor), Petr Řeřicha (guarantor)
- Supervisor:
- Department of Mechanics
- Synopsis:
-
Displacement method for planar frames and gridworks. Extreme effects of live load, influence lines. Stress and strain tensors, traction vector, principal stresses an directions, material strength. Finite element principles and techniques, error of the finite element solutions.
Prerequisities: The force and slope deflection methods for statically indeterminate planar frames and trusses, elementary elasticity, stresses and strains in beams, Hooke's law. 13 credits in structural mechanics and elasticity is a reasonable minimum to enter the course.
- Requirements:
-
132TELA, 132SM3E, students should have mastered the force and slope deflection methods for statically indeterminate planar frames and trusses and elementary elasticity, stresses and strains in beams, Hooke s law. 13 credits in structural mechanics and elasticity is a reasonable minimum to enter the course.
- Syllabus of lectures:
-
Displacement method, planar beam end forces, formulas and beam stiffness matrix nad submatrices
Degrees of freedom and equilibrium equations in planar frames, matrix form
Assembly and solution of the system, back substitutions, internal forces diagrams
Planar frames and gridworks as special cases of spatial frames,displacement method for gridworks
Influence lines and variables extremes for statically determinate planar frames and trusses
Stress tensor in 3D
Stress tensor in 2D
Material failure conditions, Rankine, Mises, Mohr-Coulomb
Strain tensor in 3D and 2D, strain gauges
Linear elastic constitutive equations
Work of stress, principle of virtual displacements, weak equilibrium conditions
Discretization by the finite element method
FEM techniques, error of the FEM solution
- Syllabus of tutorials:
-
Numerical excercises are integrated in lectures and in homework
- Study Objective:
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Ability for a qualified use of structural analysis computer codes based on the FEM method, solving for the extreme effects of live load and application of basic criteria of material strength for the limit states design.
- Study materials:
-
!Řeřicha Petr: Structural mechanics 40, statically indeterminate structures, CTU Prague, 2003, p.77, ISBN 80-01-02780-5,
?Ugural Ansel C. and Fenster Saul K.: Advanced strength and applied elasticity. (4/E) Prentice-Hall, 2000,560pp, ISBN 0-13-047392-8
- Note:
- Time-table for winter semester 2020/2021:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Fri Thu Fri - Time-table for summer semester 2020/2021:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Building Structures (compulsory course)
- Building Structures (compulsory course)
- Civil Engineering (compulsory course)