# 339-0510/02 – Advanced Mechanics of Materials 2 (IPP2)

 Gurantor department Department of Mechanics of Materials Credits 4 Subject guarantor prof. Ing. Jan Fuxa, CSc. Subject version guarantor doc. Ing. Leo Václavek, CSc. Study level undergraduate or graduate Requirement Choice-compulsory Year 1 Semester winter Study language Czech Year of introduction 2005/2006 Year of cancellation 2014/2015 Intended for the faculties FS Intended for study types Follow-up Master
Instruction secured by
VAC10 doc. Ing. Leo Václavek, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit and Examination 12+4

### Subject aims expressed by acquired skills and competences

To teach students the basic procedures for solving some technical problems of the continuum mechanics. To ensure understanding of such teaching problems. To learn our students to apply of theoretical knowledge in praxis.

Lectures
Tutorials

### Summary

Combined loading of straight beams and bars. Spatial bending. Plane bending and tension-compression. Eccentric loading of a short column, core of a cross section. Bending and torsion. Torsion and tension (compression). Bending and buckling of the strut. Plane bending of curved rods. Statistically determinate and statistically indeterminate thin curved rods and cranked beams. Statically indeterminate frames. Axially (rotationally) symmetric problems. Axi-symmetric thin-walled pressure vessels – membrane theory. Thick cylinders (vessels). Compound cylinder vessels. Rotating disks. Bending of axi-symmetric thin plates. Three-dimensional state of stress. Stresses on the oblique plane. Principal normal stresses. Differential equations of equilibrium. Relations between displacement and strain components. Compatibility of strain conditions. Physical equations for isotropic, linearly elastic homogeneous solid (extended Hooke`s law). Free (simple) torsion of bars of uniform section with non-circular profiles. Stress function. Characteristics of the stress function. Shearing lines, elementary torque carried by the belt between two infinitesimally close shearing lines. General Stoke`s theorem, elementary Stoke`s theorem. Free torsion of open and hollow (closed) thin-walled cross-sections.

### Compulsory literature:

Dowling, Mechanical Behavior of Materials,

### Recommended literature:

Dowling, Mechanical Behavior of Materials,

### Way of continuous check of knowledge in the course of semester

Test, example solutions

no

### Other requirements

The student prepare individual account on selected topic

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

Combined loading of straight beams and bars. Spatial bending. Plane bending and tension-compression. Eccentric loading of a short column, core of a cross section. Bending and torsion. Torsion and tension (compression). Bending and buckling of the strut. Plane bending of curved rods. Statistically determinate and statistically indeterminate thin curved rods and cranked beams. Statically indeterminate frames. Axially (rotationally) symmetric problems. Axi-symmetric thin-walled pressure vessels – membrane theory. Thick cylinders (vessels). Compound cylinder vessels. Rotating disks. Bending of axi-symmetric thin plates. Three-dimensional state of stress. Stresses on the oblique plane. Principal normal stresses. Differential equations of equilibrium. Relations between displacement and strain components. Compatibility of strain conditions. Physical equations for isotropic, linearly elastic homogeneous solid (extended Hooke`s law). Free (simple) torsion of bars of uniform section with non-circular profiles. Stress function. Characteristics of the stress function. Shearing lines, elementary torque carried by the belt between two infinitesimally close shearing lines. General Stoke`s theorem, elementary Stoke`s theorem. Free torsion of open and hollow (closed) thin-walled cross-sections.

### Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2014/2015 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
Examination Examination 100  0
Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner