Course title  Elasticity and Strength I 

Course code  KMP/PP1 
Organizational form of instruction  Lecture + Lesson 
Level of course  Bachelor 
Year of study  not specified 
Semester  Summer 
Number of ECTS credits  5 
Language of instruction  Czech 
Status of course  Compulsory 
Form of instruction  Facetoface 
Work placements  Course does not contain work placement 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


Course content 
1. Basic problems of elasticity. Real bodies and their models. Analytical and numerical solution of the models. Onedimensional stress. Uniform and nonuniform axially loaded bars. Hooke's law. Relative change in volume. Stressstrain curve. Coefficient of safety. 2. Cable of uniform stress. Rotating bar and ring. Statically determinate and statically indeterminate frameworks. Frameworks with trusses loaded by temperature and prestressed trusses. 3. Stress in an inclined plane. Shearing stress. Plane stress. Generalized Hooke's law. Plane stress and plane strain. 4. Complementary shearing stresses. Stress and strain in a thinwalled pressure vessel. 5. Analysis of plane stress. Mohr's circle. Special cases. 6. Stress and strain in a thin walled pipe under torsion load. Torsion of shafts. Power transfered by rotating shaft. 7. Statically indeterminate cases of torsion. Shafts loaded by nonuniform torsion. Stress and deformation of a cylindrical spring. Stifness of a spring. Beams in bending. Internal forces and moments in beams in bending. Schwedler's law. Stress in pure bending. 8. Geometric characteristic of crosssection. Parallelaxis theorem. Culmann's circle. 9. Shearing forces and their influence to stress a deformations of beams. Shear center. Differential equation of the deflection curve. Mohr's method. Fictitious beam as model for solving deflection. Statically indeterminate cases of bending. 10. Buckling of bars. Euler's critical force. Influence of slenderness ratio. 11. Tetmayer's critical force. 12. Work executed by loads, strain energy. Limit analysis ? theories of elastic failure. Combined loading. Spatial bending. 13. Nonlinear problems. Geometric and material nonlinearity. 14. Experimental methods. Electric resistance strain gauges. Photoelastic measuring. Basics of FEM. Example of FEM in 3D.

Learning activities and teaching methods 
unspecified 
Learning outcomes 
Aim of the subject is to teach students solving the basic types of loads (tension and compression, torsion, bending, buckling, twodimensional stress) and their simple combinations.

Prerequisites 
unspecified

Assessment methods and criteria 
unspecified

Recommended literature 

Study plans that include the course 
Faculty  Study plan (Version)  Category of Branch/Specialization  Recommended semester 
