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Coursecode:
wb1104
Coursename:
Mechanics of Materials for TH
DUT
creditpoints: 5
ECTS
creditpoints: 7.5
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Subfaculty of Mechanical Engineering and Marine Technology
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Lecturer(s):
Ernst,
prof.dr.ir. L.J., Keulen,
prof.dr.ir. A. van
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Tel.:
015-2786519/6515
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Catalog data:
Applied mechanics, finite element method, elasticity, beams, plates,
virtual work, potential energy, displacement method, plane stress, plane
strain.
Plate bending, buckling, stability
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Courseyear:
2
Semester: 2/2/2/2/0
Hours p/w: 2
Other hours: 4 (workshop included)
Assessment: Written + workshop + report
Assessm.period(s): 1-5
(see academic calendar)
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Prerequisites:
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Follow up: wb1408
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Detailed description of topics:
2/2/2/0/0:
Kinematic model of bars and rods; Principle of virtual work; frameworks
(rods) - finite element method; Displacement method; frameworks (beams)
- finite element method; Theorie of stress and strain, Hooke's Law;
Principle of minimum potential energy; Plane stress; plane strain;
Introduction into the finite element method of 2 D - and 3 D -
structures.
0/0/0/2/0:
The course sets out with a summary of the equations of the continuum
mechanics, as presented in course wb1204. In addition, a short
description of the principle of virtual work is given. The theory of the
bending of thin plates is presented. Its restrictions are discussed in
detail. On the basis of the principle of virtual work the governing
equations for plate bending will be established. A few examples will be
presented in order to show some typical features of the governing plate
equations.The derivation of approximate solutions will be demonstrated
on the basis of the principle of the minimum of potential energy. An
introduction in the field of finite elements for plate bending will be
given. Buckling and initial post-buckling will be demonstrated by means
of simple examples. The effects due to imperfections will be included.
The analysis of the problem of elastic stability will be based on
potential energy and will be worked out in full detail for discreet
systems. The presented theory will be applied to finite elements.
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Course material:
Lecture
notes "Stijfheid en Sterkte 2" (wb1204) parts I, II and III
(in Dutch), edition 1998, plus supplements which from time to time will
be handed over during the lectures.
Example problems: 'Oefenopgaven
Stijfheid en Sterkte 2 (wb1204), parts I, II and III (in Dutch).
FEM-program manual: Titel: "Handleiding
bij de practica Sterkte en Stijfheid". Author:
Piquillet, C.F.F.
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References from literature:
- Koiter,
W.T., Stijfheid en Sterkte I/Grondslagen
- Fung,
Y.C., Foundations of Solid Mechanics, Prentice-Hall, Inc., New
Jersey (1965)
- Timoshenko,
S.P. en Woinowsky-Krieger, S., Theory of Plates and Shells, Second
Edition McGraw-Hill Book Company, Inc., New York, 1959
- Washizu,
K., Variational Methods in Elasticity and Plasticity, Third Edition,
Pergamon, 198
- Pignataro,
M., Rizzi, N. en Luongo, A., Stability, bifurcation and postcritical
behaviour of elastic
structures, Developments in civil engineering, 39, Elsevier, 1991
- Timoshenko,
S.P., Gere, J.M., Theory of elastic stability, Second Edition,
McGraw-Hill, 1981
- Bazant,
Z.P. en Cedolin, L., Stability of structures; elastic, inelastic,
fracture and damage theories,
Oxford University Press, 1991
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Remarks (specific information about assesment, entry requirements, etc.):
Central registration.
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Goals:
To familiarize students with the backgrounds and capabilities of the
finite element method and to skill them in adequately using a Finite
Element Package.
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Computer use:
Ansys exercises. (wb1204P: 1 DUT creditpoint)
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Laboratory project(s):
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Design content:
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Percentage of design: 0%
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