Mechanics of Materials
- work with systems of linear equations, vectors, matrices, subspaces of Rn and explain the connections between these concepts
- work with determinants, eigenvalues, eigenvectors, linear transformations and connect them with the previous concepts
Design Sketching 2
- draw relevant 'free body diagrams' (FBD) of structural parts and apply them to set up equilibrium equations,
- evaluate stresses and deformations in simple bar and shaft structures,
- formulate equations to evaluate deformation of statically undeterminately supported structutures,
- calculate bending moments in beam structures and point out maximum values thereof,
- calculate the inertia moment of a beam cross section and apply it to calculate stresses,
- calculate deformations of a beam structure
- Observe and express different material expressions using existing examples
- Apply material expressions and color on its own design
- Make quick sketches that are instantly presentable
- Apply different sketching materials and sketching techniques
- Develop their own design using several ideation techniques
- Use sketching as a means of expressing themselves within the design profession
Project Realisation of Products
- develop, analyse and use a house of quaity to improve product design
- develop, analyse and use a work preperation scheme to improve product design
- develop, analyse and use a cost estimation analysis to improve product design
- develop, analyse and use a FMEA diagram to improve product design
- Understand the steps needed to develop a a mass product on aspects related to materials, production processes, functionality and construction
- Efficienntly develop a functional prototype and use it for product evaluation
- Work in groups to define a plan, develop a product, and write the final technical report on the proces
- Understand and explain the relation between the development steps of the mass product and prototype and the relevant courses.
- Is able to give a technical presentation
The project of this module is closely related to the individual project of module 2. In the project, project teams are formed so a concept can be further detailled towards full product definition. Special attention is among others paid towards construction elements, materials and production methods. Costs and quality are used as a base for decisions during the development cycle. The content of the courses and project within this module (and the previous modules) thus focus on aspects related to this product realisation process. |
In this course of Linear Algebra we mainly focus on systems of linear equations (linear systems). Many real life situations can be modeled as a linear system. Examples are networks
(traffic networks, data networks, electrical networks, etc.), economic models, chemical reactions, cryptography (coding of messages), scheduling, computer graphics, GPS.
Mathematics C1 starts with an introduction of linear systems which will be described using a (coefficient-)matrix. Already in the first week we learn how to solve linear systems systematically, using a row reduction technique on the coefficient matrix. In the second week we focus on operations vectors and matrices, such as addition, multiplication,
inverse and transpose. These operations are a fundamental issue in Linear Algebra. In the third week we deal with sets of vectors with very nice properties: subspaces. It turns
out than the properties of subspaces can tell us a lot about the structure of solution sets of linear systems. Here the concepts of linear combination, linear independence, basis and
dimension play an important role. In the fourth week we introduce the concept of determinant of a square matrix. We explore its properties and show some interesting interpretations.
The fifth week will be about eigenvectors and eigenvalues of a square matrix. These concepts play a crucial role in discrete dynamic systems, which arise in many scientific fields.
Finally, in the last week, we examine linear transformations and their properties. Some well known applications in geometry will be treated as well.
Much emphasis is laid on the relations among the various concepts. A case-study will be implemented in each program, to become acquainted with applications
of Linear Algebra.
Design Sketching 2
In this course you learn how one can present a self designed product by the use of two- and threedimensional sketches. In advance on the previous learned techniques you not just sketch in a three dimensional way but also add color material and texture in order to visualise in a more realistic way.
The following aspect will be part of the course: Training the use of colour and shadow; Visualising materials in a realistic manner like (glossy) plastics, glass, metals, chrome, etc.
Besides this there will be exercises in explanatory sketching, ideation, visualising interaction and context, presentational sketches, using tracing sheets, designnig, etc.
The focus will lie on the more realistic way of presenting products in a professional manner.
The main idea of the course Production 2 is for the student to gain insight into the interaction of technical product and production related aspects with the design of products. These technical aspects specifically relate to quality assessment and control, work preparation and cost estimation
The theory of the course will be explained in limited number of classes and will be applied on the product development case of Project Realisation of Products. The results of the analysis steps will result in a written report, hat is part of the project report of Project Realisation of Products. This report will be evaluated by both teachers of this course and will result in a separate grade for the course Production 2.
Project Realisation of Products
The goal of Project Realisation of products is to work as a group in the development of a concept to a more detailed design and materialization of a product. The concept to be detailed is one of the concepts developed in module IO 1.2. In detailing the product not all aspects will be dealt with but special attention shall be focused on
- To properly transform a concept (from module 1.2) into a functional mass produced product. As mass production was not a demand in module 1.2 the concept must be adapted for mass production. Changes made should be supported by arguments.
- Integration of construction principles (power transformation, resistance to buckling etc) and elements (bearings, gears etc).
- Selection and integration of materials and production methods.
- Use of quality aspects and tools, cost calculation and work preparation analysis to support the choices made regarding product development steps.
- Use of sketching, product presentation and technical drawing techniques te represent the product properly and for the right goal
- Use of prototype building to validate the correctness of the concept and detailed product description.
The project will result in
- the results,
- a detailed description of the mass product,
- a detailed description of the prototype of the mass product,
- an actual prototype
- a project report that describes
- the route taken to come to these results and
- the analysis that lead to the decisions made
Assumed previous knowledge |Required materials|
Recommended materials-Instructional modes
Reader MATHEMATICS C1 : CAYLEY (nr. 150)|
|Design Sketching 2:
Diverse drawing materials (Refer to BlackBoard for specifications)|
|Design Sketching 2:
Book: Sketching ‘the basics’, K. Eissen & R. Steur, BIS publishers, ISBN 978-90-6369-253-7|
|Self study with assistance|
RemarkWritten exam with open questions
|Mechanics of Materials|
|Design Sketching 2|
|Project Realisation of Products|