Course detail

# Fundamentals of Structural Mechanics

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.

Department

Institute of Structural Mechanics (STM)

Offered to foreign students

Of all faculties

Learning outcomes of the course unit

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.

Prerequisites

The basic secondary s school knowledge from mathematics and physics.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

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.

Aims

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.

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

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

Classification of course in study plans

• Programme B-P-C-SI (N) Bachelor's

branch VS , 1. year of study, summer semester, 5 credits, compulsory

• Programme B-K-C-SI (N) Bachelor's

branch VS , 1. year of study, summer semester, 5 credits, compulsory

• Programme B-P-E-SI (N) Bachelor's

branch VS , 1. year of study, summer semester, 5 credits, compulsory

• Programme B-P-C-MI (N) Bachelor's

branch MI , 1. year of study, summer semester, 5 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

39 hours, compulsory

Teacher / Lecturer