After successful completion of the course, students are able to…

• determinate the stress vector, describe the possible stress states (spatial and plane) and calculate the stress tensor using Cauchy's stress formula and local equilibrium relations.
• describe the elasticity of bodies using Hooke's generalised law for different stress and distortion states.
• formulate and solve the corresponding differential equations for the calculation of the bending line for plane beam bending.
• derive the hydrostatic stress state and calculate the pressure distribution and force resultants on plane and cylindrically curved walls.
• describe kinematic quantities in different coordinate systems and deduce the basic formula of kinematics for rigid bodies.
• apply the basic dynamic law to solid bodies and derive the centre of gravity, momentum and twist theorems from it.
• define and calculate moments of inertia and deviation for different bodies.
• describe the kinematics and kinetics of ideal fluids in flow and derive the continuity equation as well as the momentum and twist theorem in fluids by means of Reynolds' transport theorem.
• set up Bernoulli's equation for ideal fluids in steady and unsteady state taking into account power inputs and outputs.
• describe the motion of single-mass and multi-mass oscillators using different methods (momentum and twist theorem, work theorem in differential form, Lagrangian formalism), compute and explain their dynamic parameters and solve associated initial and boundary value problems.
• solve simple impact problems factoring in the deformation behaviour of the involved materials.

Mechanical stress, deformations and strains, law of elasticity, elastic deflection curve. Hydrostatic uplift, resulting hydrostatic forces. Application of the principle of virtual displacements. Kinematics and kinetics of the mass point, the rigid body and of fluids. Conservation of momentum, conservation of angular momentum. Energy theorem, Bernoulli’s equation of hydrodynamics. Linear vibrations of both SDOFs and MDOFs.

Lectures including many numerical example problems.


The lecture units will be held face-to-face at TU and additionally be available for live streaming via LectureTube on TUWEL. The TUWEL course also provides the notes of the past lectures as PDF files. All TUWEL contents will remain available to all registered students until the end of the semester.

Please, note that there will not be any recorded videos of the lectures provided.

Written and oral examination.

Christian Bucher: Mechanik für IngenieurInnen

https://www.amazon.de/dp/1686710399?ref_=pe_3052080_397514860

EPUB: https://books.apple.com/at/book/mechanik-fuer-ingenieurinnen-und-ingenieure/id1479293247