Institut für Abwasserwirtschaft und Gewässerschutz

COURSE  CONTENTS:

1. Normal and shear stress, average normal and shear stress.
2. Normal and shear strain.
3. Axial loading: elastic deformation and statically indeterminate problems. Thermal stresses. Statically indeterminate axially loaded rods.
4. Area moments of inertia.
5. Torsion of a circular shaft: shear strain and stress, the angle of twist.
6. Bending. Pure and symmetric bending: normal strain and stress. Deflection of beams: elastic curve.  Statically indeterminate beams.
7. Un-symmetric bending.
8. Bending with a transverse shear: shear stresses in beams. Shear flow in thin-walled members, shear center.
9. Plane-stress transformation.
10. Stability of equilibrium and buckling of elastic columns.
11. Elastic strain energy and energy methods: Castigliano’s  theorem - determination of displacements and  statically indeterminate problems.
12. *Membrane theory of rotational shells: thin-walled pressure vessels.*

(*) denotes an additional topic.