BYG2221
Statics
Last taught 2020
Spring
Gjøvik
Norwegian
About this course
Content
- Simple frames and archesForces in 3D space.
- Work and energyHooke's law in two dimensions - Poisson.
- Mechanical properties of materials.
- Deformations of poles and beams.
- Statically indeterminate structures.
- 3-moment equation (continues the introduction to the topic Mechanics). - Torsion - arbitrary cross sections.
- Stress and Strain Analysis incl. Mohr's circle.
- Material equations.
- Tensions in arbitrary cross sections.
- Bending stresses in curved beams.
- Composite Beams.
- Basic use of matrices to solve static problems.
Learning outcomes
The course builds on the course Mechanics and goes deeper into statics and strength of materials. Elasticity theory is treated more thoroughly, and plasticity is introduced.
After completion of the course the student should be able to:
Knowledge:
- Explain the principles of equilibrium and elasticity
- Describe basic concepts such as Euler-Bernoulli beam theory and Navier hypothesis
- Know different methods for calculation of statically determinate and indeterminate structures
- Explain Tresca and von Mises yield criterion
Skills:
- Calculation of forces, bending moments and stresses
- Make general moment equations
- Solve puzzles about space frames and 3D beam systems
- Use Mohr diagram to determine the principal stresses
- Utilize the theory of elasticity theory and the theory of plasticity
General competence:
- Know about solving statics with matrices and the use of the Finite Element Method and calculation programs
Teaching methods
Lectures, asssignments, academic supervision
This course is organized for web based students. Nevertheless, there are two hours of training every week, mostly for the purpose of campus students who have not passed the subject of the previous academic year. On the learning platform, there will be recordings from previous school years. This is complemented by pre-recorded video lectures, as well as examples and theory notes, which together with textbooks are the basis for understanding and ability to do exercises.
Mandatory work requirements: 11-14 compulsory exercises. All except 3 must be approved to get up to the exam. Additional calculation tasks, which are not mandatory, will also be available. These tasks are recommended.
Guidance is implemented through the learning platform, both synchronously using tools such as Collaborate, and asynchronously using "forum". There will be a plan for this on the learning platform. There will be 1-2 seminars in Gjøvik. These are not mandatory.
Estimated time spent:
Lectures etc.: 70 hours
Organized guidance, including the collections: 30 hours
Work with compulsory assignments: 100 hours
Other exercises and own exam preparation: 60 hours