Description:

Analysis of statically indeterminate structures by the slope-deflection method and the force method. Principle of virtual work.

Contents:

1. Background review; static (in)determinacy; basic idea of Displacement Method for multi-span beams
2. Simplified Displacement Method (SDM) for frames without sidesway
3. SDM for pin-supported members and frames with sidesway
4. General Displacement Method (GDM) for 2D trusses
5. GDM for 2D frames I
6. GDM for 2D frames II: support settlements and temperature changes; info on review test
7. SDM & GDM: overview, symmetric structures, example of computer analysis
8. Principle of Virtual Work (PVW): introduction; principle of virtual displacements and forces
9. PVW: Deflection of multi-span beams, reduction theorem
10. PVW: support settlements and temperature changes; applications to frames and trusses
11. Force method (FM): principles, application to beams and frames
12. FM for trusses; info on the final exam

Seminar contents:

1. Review of analyses of statically determinate and indeterminate structures
2. SDM for multi-span beams
3. SDM for frames without sidesway
4. SDM for frames with sidesway
5. GDM for 2D trusses
6. GDM for 2D frames
7. Mid-term review test
8. GDM for 2D frames with support settlements and temperature changes
10. Exploiting symmetry GDM; PVW for multi-span beam structures
11. PVW for truss structures
12. FM: choice of primary structures, application to beams and frames
13. FM: application to beams and frames under support settlements and temperature changes

Recommended literature:

1. R. C. Hibbeler: Structural Analysis in SI Units, 10th Edition, Pearson, 2019
2. P. Řeřicha: Structural mechanics 40, Statically indeterminate structures, CTU in Prague, 2003

Keywords:

planar frames, planar trusses, force method, displacement method

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar