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Mathematics and Basic Strength of Materials 

Bending moment and shear force diagram for a beam

The course is aimed at those who have previously studied strength of materials but haven't used their knowledge in a while and wish to refresh it. 

The goal of the course is to provide participants with an engineering-oriented understanding of how a product can be designed in the most optimal way, without overly advanced theoretical analyses. 


This requires a basic understanding of strength of materials. Even if you don't perform strength analyses yourself, it's important to have fundamental knowledge in the subject when communicating with, for example, calculation and testing engineers.


Day 1: Mathematics for Engineers:
Algebra, Functions, Logarithms, Systems of Equations, Geometry, Trigonometry. Concepts of Derivatives and Integrals, Some fundamential about Probability and Statistics.


Day 2: Fundamentals of Strength of Materials: 

  • Structural Analysis:
    Forces and moments. Systematic workflow in structural analysis. Calculation of support reactions. Statically determined/indeterminate structures. Shear forces and bending moments in beams and frames. Bending moment diagrams, Shear force, Axial force, and Torsional moment diagrams. 

  • Stresses and Deformations: 
    Normal and Shear stress. Strain. Temperature effects. Stresses in beams due to Axial force, Bending, Shear, and Torsion. Multiaxial and Combined Stresses. 

  • Different types of failure:
    Ductile, brittle, and time-dependent failures. Instability. Deformation limitations.

Day 3: Basic Structural Design Theory:  
Trusses, Plates, Slabs, Shells, Beams, Frames. Yield theory. Loads on structures, limit states, Characteristic values, Safety philosophy. Summary examples. Design of statically and fatigue loaded welded structures.

If desired, the course can be extended with an additional day, approximately one week after the regular course. The review and solution of the exercise examples provided during the course will then be conducted collectively.

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