Theory of elasticity

ID: 7080
Course type: scientific and vocational
Course coordinator: Dinulović R. Mirko
Lecturers: Grbović M. Aleksandar, Dinulović R. Mirko
Contact: Dinulović R. Mirko
Level of studies: B.Sc. (undergraduate) Academic Studies – Information Technologies in Mechanical Engineering
ECTS: 5
Final exam type: written
Department: Department of Aerospace Engineering

Lectures

Goal

1. Introduction to stress analysis related to aircraft structures and it's application to practical airframe sizing and stress analysis. 2. Introduction to Experimental stress-strain analysis of airframe structures 3. Introduction to thin-walled constructions and composite material constructions 4. Introduction to modern numerical stress analysis applied to aircraft constructions, analysis and performance

Outcome

In the end of the course, students should be able to: 1. Calculate the stress-strain state of thin-walled metallic structure in the linear domain for a preset load. 2. On the basis of a calculated stress strain state, dimension main parts of aircraft structure such as wing skins, spar webs, spar caps, wing ribs, fuselage frame and stringers. 3. To effectively use commercial software for structural analysis based on finite element method. 4. Generate finite element models of parts of aircraft structures and perform structural analysis

Theoretical teaching

During theoretical part of the course, following topics are covered: Material and space coordinates. Equilibrium eqations. Compatibility conditions. Boundary conditions. Elastic behavior of materials. Plane strain. Plane stress state. Mathematical methods in solving these problems. Force method. Displacement method. Cross section warping. Exact solutions for axial, bending and torsion problems for loaded elastic bodies. Plates and Shells. Shear stress analysis. Composite Plates. Lamina and Laminate. Sandwich composite structures. Interlaminar stresses. Failure criteria applicable to composite materials. Variational methods. Method of virtual work. Potential energy minimum principle. Rayleigh -Ritz principle. Galerkin method. Colocation mathod. Finite elemnet method formulation. covergence conditions. Beam and rod finite element formulation. Stiffness matrix and equivalnet nodal force matrix.

Practical teaching

During practical part of the course covered topis in theoretical part are demonstrated in practice. Typical practical problmes are analyzed through numerical examples. Students are required to complete practical project work using computer modeling and analysis. All required material is available in the form of lecture notes, books and past exams and tests.

Attendance requirement

Mathematics, Resistance of materials

Resources

Computing Laboratory for Theory of elasticity and Aeroelasticity

Assigned hours

Total assigned hours: 60

Active teaching (theoretical)

New material: 15
Elaboration and examples (recapitulation): 5

Active teaching (practical)

Auditory exercises: 15
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 10
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 5
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 10
Test: 0
Test: 0
Final exam: 0

Knowledge test (100 points total)

Activity during lectures: 5
Test/test: 0
Laboratory practice: 5
Calculation tasks: 5
Seminar paper: 0
Project: 35
Final exam: 50
Requirement for taking the exam (required number of points): 40

Literature

Structural and Stress analysis, T.H.G Megson Butterworth-Heinemann 2000; Elasticity, Tensor, Dyadic, and Engineering Approaches, Chou and Pagano Courrier Corporation 1992 ; Теорија Еластичности, скрипта са предавања , Решени примери, М. Динуловић, 2007