Course Details

Structural Analysis 1

Academic Year 2025/26

BDA003 course is part of 3 study plans

​ BPA-SI Summer Semester 2nd year

​ BPC-SI / VS Summer Semester 2nd year

​ BKC-SI Summer Semester 2nd year

Course Guarantor

prof. Ing. David Lehký, Ph.D.

Institute

Institute of Structural Mechanics

Language of instruction

Czech, English

Credits

4 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

To offer to students of all faculties

Course on BUT site

https://www.vut.cz/en/students/courses/detail/289596

Lecture

13 weeks, 2 hours/week, elective

Syllabus

  • 1. Introduction, course content. Moving loads. Influence lines of static quantities of statically determinate structures. Static and kinematic methods of solution. Gerber beam.
  • 2. Evaluation of influence lines and determination of extremes. Criteria for deriving maximum moments.
  • 3. Virtual work of external and internal forces. Lagrange's and Castigliano's principle of virtual works. Reciprocity theorems for virtual works. Maxwell-Mohr equation.
  • 4. Determination of displacement and rotation of beams and frames by the unit dummy forces method. Effect of normal and shear internal forces. Vereshchagin's rule. Effect of temperature change and support shifts on displacements.
  • 5. Calculation of displacement of trusses for force loads, temperature changes and support shifts. Assessment of static indeterminacy of structures.
  • 6. Methods of solution of statically indeterminate structures. Description of the force method. Simple statically indeterminate beam, effect of axial load.
  • 7. Continuous beams, solved by the force method (three moment equation method) for force loads, temperature changes and support shifts.
  • 8. Open and closed plane frames solved by the force method. Choice of statically indeterminate quantities, canonical equations. Effects of uniform and non-uniform temperature change on the frame. Effect of support shift.
  • 9. Statically indeterminate plane truss loaded by forces temperature changes and support shifts solved by the force method.
  • 10. Use of geometric symmetry of the frame, decomposition of the general load, restraints on the symmetry axes.
  • 11. Solution of statically indeterminate structures with variable cross-sections. Redistribution of internal forces.
  • 12. Displacement and rotation of statically indeterminate structures. Curved beams. Plane statically indeterminate arch.

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

  • 1. Repetition of internal force calculation on plane statically determinate structures.
  • 2. Moving loads. Application of the kinematic method to a beam with overhanging and a Gerber beam.
  • 3. Determination of reactions and internal forces on statically determinate structures by evaluating the influence lines.
  • 4. Calculation of displacements and rotations by the unit dummy force method on simple beams. Integration and application of Vereshchagin's rule.
  • 5. Calculation of displacement and rotation by the unit dummy force method on more complex structures with more complex type of loading.
  • 6. Effect of temperature change and support shift on the displacement of beams. Calculation of displacement of trusses.
  • 7. Degree of static indeterminacy. Creation of a basic statically determinate system.
  • 8. Solution of simple statically indeterminate beams under force loading.
  • 9. Solution of simple statically indeterminate beams under temperature loading and support shifts.
  • 10. Solution of more complex statically indeterminate structures under force loading.
  • 11. Solution of more complex statically indeterminate structures under force loading, temperature change and support shifts.
  • 12. Solution of statically indeterminate plane truss.