Dimensioning and strength 1

• Analyse beam problems and identify appropriate solution procedures
• Compute force components and bending moment components in beam structures.
• Use the beam differential equation to calculate the deflection of beams.
• Determine moments of inertia and bending stiffnesses for homogeneous and composite beams.
• Determine stresses and strains in homogeneous and composite beams.
• Solve statically in-determined beam problems by using superposition of standard solutions.
• Determine stresses and deformations in torsion of bars with circular cross section.
• Dimensioning of beams, columns and shafts in ordinary mechanical designs by e.g. use of standards.
• Explain the limitations for simple beam theory.

Statically determined structures. Loads, reactions and internal forces. Uniaxial tension test. Concept of stress including allowable stresses. Hookes law for uniaxial tension. Simple elastic beams. Statically indetermined structures. Standard solution for statically determined beam structures. The principle of superposition. Composite beams. Euler columns. Torsion of bars and pipes with circular cross sections.

62675/01901/62794, Knowledge within basic mechanics and statics. Surface integration and differential calculus.

Lectures and problem solving.