Course detail

Strength of Materials I

FSI-4PP-KAcad. year: 2022/2023

Basic concepts and problems of strength analysis. Basic mechanical properties of material. Concepts of stress and strain. General theorems of linear elasticity. Definition and classification of bar and beam as the simplest model of a body. Bar under simple loading - tension / compression, torsion; bending of beams. Basic limit states of ductile and brittle materials under static loading. Safety conditions. Beams and bars under combined loading. Stability of compressed bars.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. Ing. Tomáš Návrat, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Basic knowledge of stress and strain related to simple cases of loaded bars and beams and the idea of the boundaries of applicability of these classical approaches. Criteria of fundamental limit states and determination of safety and dimensions of designed bodies or machine parts.

Prerequisites

Basic knowledge of statics and mathematics. Statics - conditions of static equilibrium and equivalence, free-body diagrams, assessment of static determinacy, shear force and bending moment diagrams. Mathematics - vectors and matrices, differential and integral calculus, solutions to differential equations. Knowledge of the software Matlab.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

The course-unit credit is granted under the condition of active participation in seminars and passing the seminar tests of basic knowledge (at least 10 ECTS points out of 20 must be gained). The points gained in seminar tests are included in the final course evaluation.
Final examination: Written part of the examination plays a decisive role, where the maximum of 80 ECTS points can be reached. Solution of several computational problems is demanded. The problems come from typical profile areas of given subject and supplied by a theoretical question, proof, etc. The lecturer will specify exact demands like the number and types problems during the semester preceding the examination.
Final evaluation of the course is obtained as the sum of ECTS points gained in seminars and at the examination. To pass the course, at least 50 points must be reached.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The objective of the course Strength Analysis I is to equip the students with methodology for determination of strain and stress in bodies and risk assessment of basic limit states. Practical experience with computations of the simplest bodies will be further supplemented with basic knowledge necessary for the strength design of real machine parts.

Specification of controlled education, way of implementation and compensation for absences

Attendance at practical training is obligatory. Head of seminars carry out continuous monitoring of student's presence, their activities and basic knowledge.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Gere J.M., Timošenko S.P.: Mechanics of Materials, , 0
Hoschl C.: Pružnost a pevnost ve strojnictví, , 0
Issler L., Ruoss H., Hafele P.H.: Festigkeitslehre - Grundlagen, , 0

Recommended reading

Gere J.M., Timošenko S.P.: Mechanics of Materials, , 0
Janíček P., Florian Z.: Úlohy z pružnosti a pevnosti Ii, , 0
Janíček P., Ondráček E., Vrbka J.: Pružnost a pevnost I, , 0

Classification of course in study plans

  • Programme B-STR-K Bachelor's

    specialization AIŘ , 2 year of study, winter semester, compulsory
    specialization SSZ , 2 year of study, winter semester, compulsory
    specialization STG , 2 year of study, winter semester, compulsory

Type of course unit

 

Guided consultation in combined form of studies

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Tomáš Profant, Ph.D.

Syllabus

Facultative tutorials will be dedicated to individual questions, discussions and possible application enhancement of the topics, presented in the time-schedule of lectures and seminars. Direct link to the time schedule of seminars is supposed.

Guided consultation

78 hod., optionally

Teacher / Lecturer

doc. Ing. Tomáš Návrat, Ph.D.

Syllabus

Internal forces and moments for straight bar.
Internal forces and moments for curved beam and frame.
Area moments of inertia. Mohr's circle.
Loading in tension, stress state and deformation. Statically determinate tasks.
Loading in tension, stress state and deformation. Statically indeterminate tasks.
Loading in torsion. Statically determinate and indeterminate tasks.
Loading in bending. Stress state and deformation for statically determinate beam.
Loading in bending. Stress state and deformation for statically indeterminate beam.
Curved beams and frames. Closed beams (frames). Utilization of symmetry and antimetry.
Stability of columns. Safety for compressive loading of bars from real material.
Calculation of trusses considering the stability of columns. Truss structures.
Combined loading.