339-0511/02 – Advanced Mechanics of Materials II (IPP)
| Gurantor department | Department of Mechanics of Materials | Credits | 6 |
| Subject guarantor | doc. Ing. Leo Václavek, CSc. | Subject version guarantor | doc. Ing. Leo Václavek, CSc. |
| Study level | undergraduate or graduate | Requirement | 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 |
Subject aims expressed by acquired skills and competences
Educate students in basic procedures which are applied for a definition and solving of more exciting engineering technical problems in the sphere of mechanics of materials. Ensure understanding of teaching problems. To learn the students apply gained theoretical peaces of knowledge in praxis.
Teaching methods
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,
GERE, J.M.-TIMOSHENKO, S.P.: Mechanics of Materials, PSW Publishing Company, Boston, 1997.
Recommended literature:
[1] GERE, J.M.-TIMOSHENKO, S.P.: Mechanics of Materials, PSW Publishing Company, Boston, 1997.
Way of continuous check of knowledge in the course of semester
Test, example solutions
E-learning
no
Other requirements
Requirements to the students are solved in exercise
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction