Coursecode: mt805

Coursename: Applied Mechanics 2 & FEM 1

More information: BLACKBOARD

DUT creditpoints: 3

ECTS creditpoints: 4.5

Faculty of Mechanical Engineering and Marine Technology

Lecturer(s): Hommel, ir. G.

Tel.:  015-27 86507

Catalog data:

Bending of beams with a-symmetrical cross sections, 3d beam structures, analysis of stress and strain, bending of plates, buckling, FEM, stiffness matrix,

Course year:

2

Period:

0/0/6/0

Hours per week:

6

Other hours:

Compulsory exercises,

Assessment:

Written

Assessm.period:

3, 4

(see academic calendar)

Prerequisites: mt804

Follow up: mt803, mt8xx: FEM 2

Detailed description of topics:

·       APPLIED MECHANICS 2:

q       Bending of beams with a-symmetrical cross sections

q       3d beam structures: calculation of displacements, internal forces and reactive forces,

q       Analysis of stress and strain, yield criteria (Von Mises, Tresca).

q       Displacements and stresses due to plate bending.

q       Buckling of columns and simple beam structures,

·       FINITE ELEMENT METHOD 1:

q       Introduction to the FEM applied to 2D an 3D trusses and beam structures using equilibrium and deformation relations,

q       stiffness matrices,

q       coordinate transformations,

q       characteristics of global stiffness matrix,

q       load vector and prescribed displacements,

q       assembly and solution of the finite element equations

Course material:

·       Mechanics of Materials, Gere and Timoshenko, 3rd edition, ISBN 0-412-36880-3,

·       Course notes: Inleiding Eindige Elementen Methode, Hommel,G.

·       Course notes Hommel, G.

References from literature:

·       Concepts and Applications of Finite Element Analysis, Cook, R.D. et al., Third edition, ISBN 0-471-50319-3,

·       Finite Element Modelling for Stress Analysis, Cook, R.D., ISBN 0-471-11598-3

Remarks assesment, entry requirements, etc.):

Learning goals: To be able to:

·       Understand the theory of bending of a-symmetric beams, and apply it to simple cases

·       Apply the analysis of simple 3D beam structures

·       Understand the analysis of stress and strain and theories of failure (Von Mises and Tresca), and apply it to simple cases of combined stress

·       Understand the theory of plate bending and apply the results to laterally loaded rectangular plates with mixed boundary conditions

·       Calculate buckling of beams and simple beam structures

·       Understand the basic concept of the finite element method

·       Understand the principle of stiffnes matrix formulation for simple line-elements as 2D and 3D bars and beams

·       Formulate the load vector in case of 2D and 3D bars and beams

·       Formulate the global stiffness matrix of the structure, using the stiffness matrices of the individual elements

·       Impose prescribed displacements

·       Solve the displacements, and to calculate internal and reaction forces

·       Understand and apply the basic methods of consistency checking, and to interprete the results

Computer use: computer exercises

Laboratory project(s):

Design content:

Percentage of design:  0 %