Course Details
Structural Mechanics 1
Academic Year 2023/24
BDA015 course is part of 1 study plan
BPC-APS Winter Semester 1st year
The course is focused on the interpretation of basic concepts of structural mechanics and elasticity of beam structures. Topics: introduction to structural mechanics. Coplanar and non-coplanar force systems. Structural form and idealisation, loading, supports and reactions. Types of internal forces, differential equilibrium relationship, internal forces diagrams. Statically determinate plane beams – simply supported, cantilever, inclined, bent and curved beams. Frame structures with internal pins and trusses. Statically determinate beams with 3D loads and bent beams in 3D. Geometric properties of cross-sections. Basic concepts and assumptions of the linear elasticity and strength theory. Stress, displacement, deformation. Simple stresses in Civil Engineering – tension, compression, shear, bending, and torsional stress. Stability and elastic buckling of axially loaded compression members. Combined bending and direct stress.
Course Guarantor
Institute
Objective
Students will be acquainted with reactions and internal forces of statically determinate plane beams and frames, and geometric properties of cross-sections (centroid, second moments of area). They also will be acquainted with basic concepts and assumptions of the linear elasticity and strength theory, such as stress, displacement, and deformations and looked into dimensioning of structures.
Knowledge
Syllabus
- Introduction to structural mechanics. Basic concepts, principles and axioms. Coplanar and non-coplanar force systems.
- Basic types of statically determinate beams. Structural form and idealisation, loading, supports and reactions. Static and kinematic determinacy of structures. Calculation of support reactions.
- Types of internal forces. Beam equilibrium differential equations. Internal forces diagrams.
- Statically determinate plane beams – simply supported, cantilever.
- Statically determinate plane bent beams.
- Statically determinate plane inclined beams.
- Frame structures with internal pins.
- Trusses and curved beams. Statically determinate beams with 3D loads, and bent beams in 3D.
- Geometric properties of cross-sections. The parallel axis theorem. The radius of gyration and ellipse of second-order moments of the cross-section.
- Basic concepts and assumptions of the linear elasticity and strength theory. Stress, displacement, deformation. Simple stresses in Civil Engineering – direct tension and compression.
- Simple stresses in Civil Engineering – shear and bending. Transverse shear stress. Shear stress in thin-walled members. Shear centre.
- Torsional stress. Stability and elastic buckling of axially loaded compression members
- Combined bending and direct stress.
Prerequisites
Basic knowledge of mathematics and physics from secondary school is required.
Language of instruction
Czech
Credits
3 credits
Semester
Forms and criteria of assessment
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
The definition of monitored instruction and the method of its implementation is annually updated by the guarantor of the course
Offered to foreign students
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
- Introduction to structural mechanics. Basic concepts, principles and axioms. Coplanar and non-coplanar force systems.
- Basic types of statically determinate beams. Structural form and idealisation, loading, supports and reactions. Static and kinematic determinacy of structures. Calculation of support reactions.
- Types of internal forces. Beam equilibrium differential equations. Internal forces diagrams.
- Statically determinate plane beams – simply supported, cantilever.
- Statically determinate plane bent beams.
- Statically determinate plane inclined beams.
- Frame structures with internal pins.
- Trusses and curved beams. Statically determinate beams with 3D loads, and bent beams in 3D.
- Geometric properties of cross-sections. The parallel axis theorem. The radius of gyration and ellipse of second-order moments of the cross-section.
- Basic concepts and assumptions of the linear elasticity and strength theory. Stress, displacement, deformation. Simple stresses in Civil Engineering – direct tension and compression.
- Simple stresses in Civil Engineering – shear and bending. Transverse shear stress. Shear stress in thin-walled members. Shear centre.
- Torsional stress. Stability and elastic buckling of axially loaded compression members
- Combined bending and direct stress.
Exercise
13 weeks, 1 hours/week, compulsory
Syllabus
- Coplanar force systems. Conditions of equilibrium.
- Statically determinate plane beams – simply supported, cantilever – support reactions.
- Statically determinate plane beams – simply supported, cantilever – internal forces diagrams.
- Statically determinate plane beams – bent and inclined beams. Frame structures with internal pins.
- Gerber beams. Trusses – method of joint and method of section.
- Geometric properties of cross-sections. Dimensioning of members – bending stress.
- Credit