Course objectives:
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Make students acquainted with solutions of more complicated problems of linear theory of elasticity and with Ritz´s method and its applications and fatigue of materials.
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Requirements on student
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Credit requirement:
Elaborate and transmited seminar work in request quality.
Exam requirement:
Knowledge of lectured subjects with capability of its application for solution of concrete tasks.
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Content
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1st week: Strain energy of elastic bodies, Castigliano´s first and second theorems for deflection.
2nd week: Euler´s theory of struts, basic modes of struts, applicability of Euler´s theory, buckling in non-elastic region.
3rd week: Laterally loaded struts.
4th week: Membrane analogy of torsion, application on thin rectangular section and thin walled open sections.
5th week: Free pure torsion of thin tube of non-circular section.
6th - 7th week: Effect of warping during torsion of open thin walled sections.
8th - 9th week: Thin plates: general assumtions and equations for moments, symetrical bending of circular plates.
10th - 11th week: Energy in theory of elasticity - applications on: buckling of struts, thin plates and insttability of beams bcause of small width-to-depth ratio.
13th week: Fatigue of materials and structures.
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Activities
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Fields of study
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Studentům je k dispozici kurz v Google Classroom se všemi podstatnými informacemi a elektronickými materiály.
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Preparation for an examination (30-60)
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38
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Undergraduate study programme term essay (20-40)
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28
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Contact hours
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65
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Total
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131
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
know and orient in differential equations |
know and orient in differential and integral calculus |
know and orient in matrix calculus |
know and orient in the potential energy of the body |
know and orientate in inner forces |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
describe and solve basic types of second order differential equations |
describe and solve problems with multi-variable functions |
describe and solve basic problems and problems of linear theory of elasticity |
know and solve cross-sectional characteristics |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
gain knowledge about Castiglian's theorems |
gain knowledge of free torsion of thin-walled closed and open cross sections |
gain knowledge of buckling strength |
gain knowledge of the combined bending stress of struts |
gain knowledge about the direct energy Ritz method for solving problems of linear theory of elasticity |
gain knowledge about bending torsion of thin-walled open bars |
Skills - skills resulting from the course: |
solve problems using Castigliano's theorem on deformation |
solve problems of free torsion of thin-walled closed and open cross-sections |
solve buckling strength problems |
solve problems of combined bending-buckling stress |
solve problems of linear theory of elasticity using direct energy Ritz |
solve problems of bending torsion of thin-walled open bars |
Competences - competences resulting from the course: |
N/A |
N/A |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Seminar work |
Individual presentation at a seminar |
Skills - skills achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Individual presentation at a seminar |
Seminar work |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Seminar work |
Individual presentation at a seminar |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture with visual aids |
Practicum |
Individual study |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Lecture with visual aids |
Practicum |
Task-based study method |
One-to-One tutorial |
Competences - the following training methods are used to achieve the required competences: |
Lecture with visual aids |
Practicum |
Task-based study method |
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