Course syllabus for Mechanics

Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).

Overview

  • Swedish nameMekanik
  • CodeTME275
  • Credits6 Credits
  • OwnerTKSAM
  • Education cycleFirst-cycle
  • Main field of studyCivil and Environmental 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 58113
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0115 Project 1.5 c
Grading: UG
1.5 c
0215 Examination 4.5 c
Grading: TH
4.5 c
  • 01 Jun 2023 am J
  • 07 Okt 2022 am J
  • 23 Aug 2023 pm J

In programmes

Examiner

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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

Buildings functions and design
Introductory course in calculus
Linear algebra
Computational mathematics

Aim

Mechanics is operational and preparatory within basic engineering and science. The aim of the course is to give a basic understanding of the fundamental concepts and laws of classical mechanics and how to apply them to simple problems in statics and dynamics. The course should also prepare the student for further studies in subjects where basic knowledge of mechanics is required, e.g. solid mechanics and structural engineering.

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

- explain the meaning of the concepts of physical quantity, metrics, unity and unit systems,
- perform a dimensional analysis and judge whether the answers are reasonable,

- explain the concepts of force and moment of force, and be able to apply vector notations of force and moment of force,

- apply force reduction,

- explain the meaning of the concepts of force balance and equilibrium conditions,

- draw free-body diagrams for a material system in equilibrium, and to formulate and solve the governing equations of equilibrium ,

- solve the equilibrium equations for statically determinate trusses,

- determine cross section forces and section moments in statically determinate beams,

- explain the meaning of the concepts of center of mass and center of gravity, and determine the center of mass position for geometrically simple bodies,
- explain the meaning of the concepts of static friction, sliding friction and friction conditions and solve static problems with friction,

- solve simple hydrostatic problems,

- explain the meaning of the concepts of static determination and static indeterminacy and be able to decide which of the concepts that apply to a given design,

- apply the relationships between position, velocity and acceleration at straight and plane curvilinear motion,

- apply Newton's second law of for particles in straight and plane curvilinear motion,

- explain the meaning of the concepts of work, kinetic energy, potential energy and conservative force and the links between them, in order to apply energy considerations to solve dynamic problems for particles,

- solve simple problems for the momentum or angular momentum of a particle,

- calculate the mass moments of inertia for simple geometries,

- apply the Newton¿s  laws in order to solve simple problems for plane rigid body rotation with respect to a fixed axis,

- use energy methods to treat rigid body rotation about a fixed axis.

Content

Statics:

Basic concepts. System of forces and force reduction. Equilibrium; equilibrium conditions, free-body diagrams, degrees of freedom, constraint forces. Statically determinate trusses. Section forces in statically determinate beams.
Center of mass, center of gravity. Friction. Hydrostatics.

 
Particle dynamics:

Kinematics. Newton's laws. Work, energy, momentum and angular momentum, conservation laws.

 

Rigid Body Dynamics:

Mass moment of inertia. Rotation about a fixed axis. System of rigid bodies: the preservation of energy, momentum and angular momentum.

Organisation

The course consists of the following learning activities: Lectures, problem solving sessions, tutorials, mid term exam, assignments and project work.

The course relates to UN's sustainable development goals within "9 Industry, innovation and infrastructure", "11 Sustainable cities and communities", "12 Responsible production and consumption".

Literature

Grahn/Jansson: Mekanik, Studentlitteratur, latest edition.

Examination including compulsory elements

Compulsory examination for the course:

 - Written exam
 - Approved report on project task

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.