Structural Analysis

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:

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	roomTH:B-479 10:00–11:50 (lecture parallel1) Thákurova 7 (FSv-budova A) B479roomTH:B-479 12:00–13:50 (lecture parallel1 parallel nr.101) Thákurova 7 (FSv-budova A) B479
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)