Contents:
• Tension - compression in bars – stress / strain / constitutive equations
• Differential equation for bar
• Statically determinate and indeterminate problems
• Combined stress state
• Principle stresses – Mohr’s circle of stress
• Conditions of equilibrium
• Strain state, relation between stresses and strains – elastic materials
• Yield and fracture criteria
• Beam bending
• Moments of inertia
• Basic equations of pure bending – symmetrical cross section
• Normal stresses as the result of bending
• Differential equations for beam bending
• Single- and multi-field-beam structures / superposition law
• Shear stresses
• Skew bending
• Torsion
• Energy methods and deformation energy
• Principle of virtual forces – truss systems, beam bending
• Influence coefficients – Betti-Maxwell principle
• Application of energy methods to statically indeterminate systems
• Stability and buckling of beams

Aims:
The goal is to teach the analysis of stresses and strains in one dimensional structural member. Deformations of statically determinate and indeterminate structures can finally be computed. The students should be then able to judge arbitrary stress and strain states in structures concerning yield and fracture. The students should also be able to use energy principles for the solution of standard problems as well as for simple beam buckling problems.

Prerequisites: Statics of Rigid Bodies, Higher Mathematics

Others: in addition tutorials are offered, voluntarily, supervised