Statics
As a result of the course a student is able to:
- Make a Free Body Diagram of a two dimensional structure
- Calculate the forces and moments on a structure
- Formulate the equations of equilibrium on a static structure in a two dimensional space, based on a Free Body Diagram
- Recognise different states of equilibrium and determine whether a construction is statically determined, under determined or overdetermined
- Calculate the centre of gravity of a two dimensional body
- Determine the forces in the presence of friction
- Determine the internal forces in a basic, slender beam, on which distributed forces, point forces and/or moments are acting
Modelling and Programming 1
As a result of the course a student is able to:
- write a structured MATLAB program to solve engineering problems, with separate definition, solution, and result sections.
- make use of variables to define and solve an abstract engineering problem.
- make use of vectors and matrices and manipulate these using matrix operations.
- visualize data using 2-dimensional plots in MATLAB.
- make use of built-in MATLAB functions, by consulting MATLAB Help documentation.
- calculate the truss forces in a statically determined frame by deriving and solving a system of linear equations
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This is a part of module 1, ME 1 Design and Manufacturing of the Bachelor Mechanical Engineering. See here for the compete description of the module.
Statics
Forces are an essential element of designing a product. The product is loaded by or transfers forces. A product will fail or deform too much if the forces acting on the product are too large. A Free Body Diagram is an essential tool to understand which forces act on the product. This concept is explained in the lectures. The magnitude of the forces, moments and couples are determined using the Free Body Diagram and Newton's Laws.
The second topic in the course is the location of the centre of gravity. This virtual point in the product determines whether the product stand stable on its foundation or support.
The third topic in the course is friction. Friction relates the forces in the contact surface to the normal forces acting on the structure. Friction forces are forces that need to be overcome but, alternatively they can be used to fix the position.
After investigation of all external forces, the basic internal forces are addressed. This implies the normal and shear forces and bending moment in slender beams. These forces will be transformed to stresses and deformations in the course Mechanics of Materials (module 4).
Modelling and Programming 1
Modelling and Programming is a training line that runs throughout the full first year of the ME bachelor. In this training line, you will develop your programming skills in order to perform advanced engineering calculations, and analyze and improve different systems and designs.
In Modelling and Programming 1, the Matlab programming environment is introduced. Basic programming concepts are discussed and used to perform calculations and visualize results. Using knowledge from the statics course, the equilibrium of a large truss system will be determined by deriving and solving a system of linear equations and solved using Matlab.
Non-ME students can take this course if they meet the entry requirements.
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