Course syllabus for Mechanics

The course syllabus contains changes
See changes

Course syllabus adopted 2019-02-14 by Head of Programme (or corresponding).

Overview

  • Swedish nameMekanik
  • CodeTME011
  • Credits8 Credits
  • OwnerTKAUT
  • Education cycleFirst-cycle
  • Main field of studyAutomation and Mechatronics Engineering, Mechanical Engineering
  • DepartmentMECHANICS AND MARITIME SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 47121
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0113 Project 2 c
Grading: UG
2 c
0213 Examination 6 c
Grading: TH
6 c
  • 24 Okt 2020 am J
  • 07 Jan 2021 am J
  • 25 Aug 2021 pm J

In programmes

Examiner

  • Peter Olsson
Go to coursepage (Opens in new tab)

Eligibility

General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites


Linear algebra, in particular - The vector concept - Linear dependence and independence of vectors - Scalar and vector product, projections and geometry Calculus, in particular - Elementary functions (power and exponential functions, logarithmic functions, trigonometric functions) - Inequalities - Differential calculus (derivatives, extremal values) - Integral Calculus - Differential Equations An additional requirement is a basic knowledge of MATLAB (program structure, functions, matrix calculations, graphing, solution of ordinary differential equations).

Aim

  • Provide the ability to solve practical mechanical problems by formulating mathematical models based on fundamental laws, solving the corresponding mathematical problems, and finally assessing both the models and the derived solutions.
  • Prepare for courses in related subjects, such as solid mechanics, mechanical engineering, structural engineering and manufacturing as well as advanced courses in mechanics.
  • Provide the necessary foundation for communication, on issues related to mechanics, with engineers with different educational backgrounds.

Learning outcomes (after completion of the course the student should be able to)

-- explain the meaning of the concepts of physical quantity, magnitude, unit of measure, and unit systems, -- carry out a dimensional analysis and assess whether a result of a calculation is reasonable -- have an understanding of the concepts of force and moments, and be able to calculate the moments of a given sytem of forces w r t a point or an axis, -- perform a reduction of a given system of forces, -- explain the meaning of the concepts of force and momentum balance, and equilibrium conditions, -- construct free body diagrams, and formulate equilibrium equations, and solve them, -- explain the meaning of the concepts of centre of mass, and centre of gravity, and to determine the centre of mass for geometrically simple bodies, -- explain the meaning of the terms static and sliding friction, and of friction conditions, and be able to solve static problems involving friction, -- explain the meaning of the concepts of statical determinacy, and static indeterminacy. and be able decide which of the concepts that applies to a given design, -- apply the relationships between position, velocity and acceleration at linear and two-dimensional curvilinear motion, --apply Newton's second law to problems with particles in rectilinear or curvilinear motion, -- understand the concepts of work, kinetic energy, potential energy, and conservative force, as well as the relations between them, to be able to apply energy considerations to solve dynamic problems for particles, -- determine the motion of a particle, or a system of particles, when the momentum or angular momentum of is conserved, -- solve simple problems with free and forced oscillations, with or without damping, -- calculate the mass moment of inertia, using standard formulas and parallel displacement relations, -- have a sufficient grasp of the equation of motion for the centre of mass, and of the law for the angular momentum of a rigid body, to be able to solve simple problems in rigid body rotation about a fixed axis, -- use energy methods for treating the rigid-body rotation about a fixed axis.

Content

-- Statics for rigid bodies in two and three dimensions. Special emphasis on free body diagrams, splitting material systems into subsystems, and the formulation of equilibrium equations. -- Dynamics, i.e. motion of bodies under the action of forces. The bodies may be particles, system of particles, or rigid bodies.

Organisation

The teaching is organised in lectures, problem solving sessions, and tutorials. The project work is carried out under supervision. During the tutorials you work independently or in groups with the possibility of direct consultation. Under certain problem solving sessions, individual problem solving can be expected.

Literature

-- Mekanik, by Ragnar Grahn and Per-Åke Jansson. ISBN: 9789144085784. Third edition. Studentlitteratur 2013.
-- e-book: Engineering Mechanics 1: Statics, by Dietmar Gross et al. ISBN: 978-3-642-30319-7 (Online). (Available free of charge from Chalmers library.)
-- e-book: Engineering Mechanics 3: Dynamics, by Dietmar Gross et al. ISBN: 978-3-642-53712-7 (Online). (Available free of charge from Chalmers library.)
-- Formelsamling i mekanik, M.M. Japp. Is available on the course website, and also available at the Department of Applied Mechanics.

Examination including compulsory elements

A written exam (6 credit points), and a computer project (2 credit points). In addition, a non-compulsory quiz will be given, which may give bonus points for the written exam.

The course syllabus contains changes

  • Changes to examination:
    • 2020-09-30: Grade raising No longer grade raising by GRULG
    • 2020-09-30: Grade raising No longer grade raising by GRULG