Course Details

Structural Mechanics 1

Academic Year 2024/25

BDA015 course is part of 1 study plan

​ BPC-APS Winter Semester 1st year

Course Guarantor

doc. Ing. Hana Šimonová, Ph.D.

Institute

Institute of Structural Mechanics

Language of instruction

Czech

Credits

3 credits

Semester

winter

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/281464

Lecture

13 weeks, 2 hours/week, elective

Syllabus

  1. Introduction to structural mechanics. Basic concepts, principles and axioms. Coplanar and non-coplanar force systems.
  2. Basic types of statically determinate beams. Structural form and idealisation, loading, supports and reactions. Static and kinematic determinacy of structures. Calculation of support reactions.
  3. Types of internal forces. Beam equilibrium differential equations. Internal forces diagrams.
  4. Statically determinate plane beams – simply supported, cantilever.
  5. Statically determinate plane bent beams.
  6. Statically determinate plane inclined beams.
  7. Frame structures with internal pins.
  8. Trusses and curved beams. Statically determinate beams with 3D loads, and bent beams in 3D.
  9. Geometric properties of cross-sections. The parallel axis theorem. The radius of gyration and ellipse of second-order moments of the cross-section.
  10. Basic concepts and assumptions of the linear elasticity and strength theory. Stress, displacement, deformation. Simple stresses in Civil Engineering – direct tension and compression.
  11. Simple stresses in Civil Engineering – shear and bending. Transverse shear stress. Shear stress in thin-walled members. Shear centre.
  12. Torsional stress. Stability and elastic buckling of axially loaded compression members
  13. Combined bending and direct stress.

Exercise

13 weeks, 1 hours/week, compulsory

Syllabus

  1. Coplanar force systems. Conditions of equilibrium.
  2. Statically determinate plane beams – simply supported, cantilever – support reactions.
  3. Statically determinate plane beams – simply supported, cantilever – internal forces diagrams.
  4. Statically determinate plane beams – bent and inclined beams. Frame structures with internal pins.
  5. Gerber beams. Trusses – method of joint and method of section.
  6. Geometric properties of cross-sections. Dimensioning of members – bending stress.
  7. Credit