On the basis of
REA1141 Matematikk 1
Expected 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:
- 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
- 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
- Know about solving statics with matrices and the use of the Finite Element Method and calculation programs
Simple frames and arches
Forces in 3D space
Work and energy
Hooke'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
Tensions in arbitrary cross sections
Bending stresses in curved beams
Basic use of matrices to solve static problems
Form(s) of Assessment
Written exam, 5 hours
Alphabetical Scale, A(best) – F (fail)
Graded by internal examiner (lecturer).
External sensor regularly is either evaluating or preparing the examination. Next time: 2019.
Ordinary. May be oral.
- Support material code C: Specified printed and hand-written support material is allowed. A specific basic calculator is allowed.
- John Haugan: «Formler og tabeller»
- The following basic calculators are permitted:
- Casio fx-82ES PLUS
- Citizen SR-270X and Citizen SR-270X College
- Hewlett Packard HP30S
11-14 exercises. All but two have to be approved.