The present collection of calculation examples is based on the author’s experience in teaching and his subsequent activity as a consultant to industry. It combines theoretical questions with practical problems, which arise, for example, when preparing safety reports or determining appropriate safety distances. Emphasis was placed on choosing the examples such that they can be solved with simple resources. This does not mean a rejection of computer programs but results from the conviction that a better understanding of the context is promoted by following the individual steps of the calculations. This understanding is a prerequisite for the appropriate use of computer codes, which is often indispensable. The only exception is the program for treating atmospheric dispersion of the VDI that is generally used. It provides several results for problems dealing with appropriate safety distances. Although all the sections start with a short introduction to the material presented, this collection does not replace the use of textbooks and original papers. The following areas are addressed: • Hazardous properties of materials • Exothermic and pressure-generating reactions • Safe design and operation of industrial plants • Occupational safety • Process control • Protection of equipment • Event tree analysis • Fault tree and Marcov analyses • Consequences of accidents • Functional safety • Appropriate safety distances The results are presented with numerous digits behind the decimal point solely in order to facilitate their reproduction. Existing modelling and data uncertainties mostly warrant the indication of just one digit behind the decimal point. They are apart from the stochastic behaviour of parameters the justification for employing safety factors and pessimistic assessments.