Introduction

Welcome to the blog of Ing. Filip Hokeš, Ph.D. — a resource supporting on-site and blended teaching in structural mechanics provided by the Institute of Structural Mechanics, FAST, Brno University of Technology. The posts are the author's personal initiative, not official institute teaching material. They are intended as handouts for exercises and lectures and as supplementary material for interested readers.

In the current winter semester 2025/2026 I teach blended courses BDA002 "Elasticity and Strength" (bachelor) and NDA015 "Elasticity and Plasticity" (master). I will publish teaching materials for these courses in the "Teaching" section during the semester.

During the previous summer semester 2024/2025 I taught on-site courses BDA001 "Fundamentals of Structural Mechanics" and BDA003 "Statics 1" (bachelor). Materials will be added in the Teaching section as available.

If you disagree with any of my statements, I appreciate any feedback. I hope the materials are useful.

News

	News
31.10.2025	4th lecture in NDA015 and BDA002
17.10.2025	3rd lecture and examples for BDA002 and NDA015. 1st homework for BDA002 and NDA015
03.10.2025	2nd lecture and examples for BDA002 and NDA015
19.09.2025	1st lecture and course requirements for BDA002 and NDA015
15.09.2025	Update for Winter Semester 2025/2026 (links will be activated after the first lecture on 19.9.2025)
17.02.2024	Update for Summer Semester 2024/2025
02.12.2024	5th lecture in NDA015 and final version of exam questions for that course
21.11.2024	Added remaining materials for the BDA002 exam
20.11.2024	Added all remaining lectures and questions to BDA002
01.11.2024	Working version of exam questions (final version will be available at the end of the semester)
01.11.2024	3rd and 4th lecture for NDA015 (see: Teaching)
14.10.2024	3rd lecture for BDA002 (Teaching)
08.10.2024	2nd lecture for BDA002 (Teaching)
03.10.2024	2nd lecture for NDA015 (Teaching)
30.09.2024	Fixed section headings under: Teaching
19.09.2024	Materials for the 1st lectures of BDA002 and NDA015 (Teaching)
18.09.2024	Conditions for obtaining credit and exam rules in BDA002 and NDA015 (Teaching)

Teaching

I teach courses including Statics 1 (influence lines, unit-load method, force method), Statics 2 (deformation method) and Fundamentals of Structural Mechanics. I also lecture for blended students in BDA002 (Elasticity and Strength) and NDA015 (Elasticity and Plasticity).

NDA015 — Elasticity and Plasticity (blended)

Materials for the winter semester 2025/2026

1. Lecture
   • Introduction and exam requirements
   • Lecture 1 — Introduction to elasticity and plasticity; basic assumptions; computational models; basic quantities and equations for 3D and 1D (rod)
   • Lecture 2 — Stress transformation; principal stresses in 3D and 2D; plane problems; plates; plate-shells; shells
   • Lecture 3 — Numerical/computational methods
   • Lecture 4 — Plasticity
2. Worked examples / Methods
   • Ritz method — worked example (axial loading)
   • Analytical solution — worked example (axial loading)
   • Finite Element Method (FEM) — worked example (axial loading)
   • Homework 1 — Stress trajectories
3. Questions
   • Exam questions (final version)

BDA002 — Elasticity and Strength (blended)

Materials for the winter semester 2025/2026

1. Lectures
   • Introduction and exam requirements
   • Lecture 1 — Introduction, basic assumptions, fundamental relations, tension & compression
   • Collection of (un)solved problems — tension & compression
   • Lecture 2 — Bending, inclined bending, eccentric tension & compression
   • Collection of problems — bending, inclined bending, eccentric loading
   • Lecture 3 — Shear
   • Homework 1 — Bending & Shear
   • Collection of problems — shear
   • Lecture 4 — Torsion
   • Lecture 5 — Deformation of bent beams
   • Lecture 6 — Stability
2. Questions
   • Exam questions
3. Older practice problems (author: Ing. Ludek Brdecko, Ph.D.)
   • Axial loading: [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ] [ 7 ] [ 8 ]
   • Bending: [ 1 ]
   • Deformation of bent beams: [ 1 ] [ 2 ] [ 3 ] [ 4 ]
   • Pure shear: [ 1 ]
   • Free torsion: [ 1 ]
   • Shear center: [ 1 ]
   • Spatial bending, eccentric loading, core of section: [ 1 ] [ 2 ]
   • Stability: [ 1 ]
4. Theory (author: Ing. Ludek Brdecko, Ph.D.)
   • Axially loaded members
   • Beam bending theory
   • Combined loading of members
   • Fillet welds
   • Free torsion
   • Buckling
5. Solved examples (author: Ing. Luděk Brdečko, Ph.D.)
   • Bending
   • Integration of bending curve differential equation
   • Clebsch method
   • Mohr method
   • Torsion (statically determinate case)
   • Torsion (statically indeterminate case)
   • Section core

Research & Development

My research focuses on structural optimization and its applications to building structures. I implement optimization algorithms as part of this research.

Projects

I regularly participate as a member of research teams in projects funded by public sources.

Currently active projects:

Project name	Advanced software tool for the design and analysis of concrete and composite structures, accounting for construction stages and time-dependent effects
Project code	FW03010260
Project description	The aim of the project is to develop a unique software tool for design and analysis of complex and computationally demanding building structures. The product will enable static, stability and dynamic analysis for any construction stage and will consider rheological effects to analyze their impact on structural response. The project is co-funded by the Technology Agency of the Czech Republic and the Ministry of Industry and Trade under the TREND program.
Partners	Brno University of Technology, Faculty of Civil Engineering

Project archive

Contact

Ing. Filip Hokeš, Ph.D.