Course Details

# Fundamentals of Structural Mechanics

BDA001 course is part of 4 study plans

BPC-SI / VS Summer Semester 1st year

BPC-MI Summer Semester 1st year

BKC-SI Summer Semester 1st year

BPA-SI 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. Plane lattice girders, static and kinematic certainty. Calculation of axial forces in members by general and simplified joint method, intersecting method and its Ritter modification. Approach to the solution of extra-lumbar loading of members of planar lattice structures.
4. Components of the resultant of internal forces (N, V, M) of the straight plane of the stressed member. Straight planar statically determined beams and brackets, loads, reactions in constraints, calculation of reactions and internal forces and moments, diagrams of internal forces and moments.
5. Differential dependences between loads, shear forces and bending moments, differential equilibrium conditions.
6. Plane rectangular angled beams and brackets, calculation of reactions in bonds, diagrams of internal forces.
7. Plane inclined beam, continuous load of inclined member, decomposition of inclined continuous load, planar angled beam with inclined members, reactions and diagrams of internal forces and moments. Applications to off-load loads of planar lattice structures.
8. Statics of planar systems of bodies composed of material points and rigid plates, static and kinematic certainty (also for lattice construction from lecture 2). General method for solving planar systems of bodies by decomposition into partial bodies, reactions and internal forces. Three-joint angled beam.
9. Three-joint angled beam with tie rod, Gerber beam, reactions and diagrams of internal forces.
10. Area, static moment, center of gravity (analogy to solving a system of parallel forces). Quadratic and deviation moments. Steiner&apos;s theorem.
11. Main axes of cross section, main quadratic moments. Mohr&apos;s circle. Radii of inertia, ellipse of inertia, polar quadratic moments.
12. Spatial systems of forces, spatial bundle of forces, general spatial system of forces. Bonds and reactions of a rigid body in space, calculation of reactions in bonds. Spatially stressed straight bar.
13. Spatial rectangular angled bracket and beam, reactions and diagrams of internal forces and moments. Test information.

Prerequisites

The basic secondary s school knowledge from mathematics and physics.

Language of instruction

Czech, English

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

To offer to students of all faculties

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus