Course Details

Fundamentals of Structural Mechanics

Academic Year 2024/25

BD001 course is not part of any programme in the faculty

Course Guarantor

Institute

Language of instruction

Czech

Credits

5 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus

1.Basic terms and axioms of statics. Concurrent system of forces in plane. System of parallel forces in plane. 2. General system of forces in plane. Static models of plane structures, constrains and supports, types of loading, reactions. 3. Components of internal forces in a straight bar with plane loading, diagrams of internal forces and moments. 4. Differential relations between loads, shear forces and bending moments, differential conditions of equilibrium. 5. Plane beams and frames with rectangular broken centre line, calculation of reactions in constraints, diagrams of internal forces. 6. Plane skew beam, continuous load of skew beam, plane beam with broken centre line and skew bars, reactions and diagrams of internal forces and moments. 7. Static analysis of plane systems of bodies composed of mass points and of rigid plates, static and kinematic determination. General method of solution of plane systems. 8. Three-hinged broken beam without and with a tie bar, Gerber’s beam, reactions and internal forces diagrams. 9. Quadratic and deviation moments of inertia, Steiner’s theorem, principal axes of inertia of cross-sections, radius of inertia. 10. Plane bar systems, static and kinematic determination. Calculation of axial forces. The off-joints loads. 11. Space systems of forces. Constraints and reactions of rigid body in space, calculation of reactions in constraints. 12. Straight bar with space loading, space cantilever beam with rectangular broken centre line, reactions and diagrams of internal forces and moments. 13. Space beam with broken centre line, reactions, diagrams of internal forces and moments.

Exercise

13 weeks, 3 hours/week, compulsory

Syllabus

1. Moment of force to a point, pair of forces. Concurrent system of forces in plane, general system of forces in plane. 2. System of parallel forces in plane and its static centre. Static centre of plane composed shapes. 3. Beam supports and types of loads. Calculation of support reactions. Internal forces diagrams of plane beams. 4. Solution of basic types of beams: supported beams and cantilevers, straight beams with overhangs. 5. Supports reactions and internal forces diagrams of the beams with broken and curved axis. 6. Decomposition of slant continuous loads. Support reactions and internal forces diagrams of the slant beam. 7. Three-hinged broken beam (with and without a bar) and plane arches. 8. Beam with internal hinges - Gerber’s girder. 9. Centroid of planar cross-sections. Second order moments of planar cross-section, Steiner’s theorem. Mohr’s circle. 10. Planar trusses (hinged bar systems). Calculation of axial forces of trusses by method of sections, Ritter's solution. 11. Space systems of forces. General space system of forces. Constraints and reactions of rigid body in space. 12. Straight bar with space loading, space cantilever beam with rectangular broken centre line, reactions and diagrams of internal forces and moments. 13. Space beam with broken centre line, reactions and diagrams of internal forces and moments.