Course Details

# Fundamentals of Structural Mechanics

BD001 course is part of 3 study plans

B-K-C-SI (N) / VS Summer Semester 1st year

B-P-C-MI (N) / MI Summer Semester 1st year

B-P-C-SI (N) / VS Summer Semester 1st year

Students will be able to solve reactions and internal forces of the plane statically determinate structures, of plane beams with straight and broken axis, to solve three-hinged broken beam with and without a bar, the planar composed beam systems and plane truss systems, to determine the position of centroid and the second order moments of cross-section.

Course Guarantor

Institute

Objective

The students will be acquainting with: (i) Reactions and internal forces of the plane static determinate structures, (ii) centroid and second order moments of cross-section.

Knowledge

The students will be able to solve reactions and internal forces of the plane statically determinate structures, of plane beams with straight and broken axis, to solve three-hinged broken beam with and without a tie, the planar composed beam systems and plane trusses systems, to design centroid and second order moments of gross-section.

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.

Prerequisites

The basic secondary s school knowledge from mathematics and physics.

Language of instruction

Czech

Credits

5 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus