Engineering Mechanics 1 (Statics)

Concurrent force groups following textbook chapter 2: parallelogram and polygon of forces, decomposition into Cartesian components, resultant and equilibrium in the plane — closing with the spatial case and its three equilibrium conditions.

Forces without a common point of application, following textbook chapter 3: couple and moment, moment of a force and lever arm, reduction to a resultant force and resultant moment, the three equilibrium conditions of the plane, and the moment vector in space.

Centroid according to textbook chapter 4: centre of parallel forces, resultant of distributed loads, centre of mass, first moments of area and centroidal axes — as well as composite cross-sections with cut-outs as negative areas.

Support reactions according to textbook chapter 5: types of support and their valency, static and kinematic determinacy, calculation of support reactions and superposition — plus spatial and multi-part structures with three-hinged arch and Gerber beam.

Trusses following textbook chapter 6: idealisations and static determinacy, assembly by the formation rules, identifying zero-force members, and determining member forces with the method of joints and Ritter's method of sections.

Internal forces following textbook chapter 7: normal force, shear force and bending moment with a fixed sign convention, the relation between loading and internal forces, integration with boundary and transition conditions, and the Föppl symbol.

Static friction and sliding friction following textbook chapter 9: the static friction force as a reaction force, the sliding friction force as an applied force, Coulomb's laws of friction with the limiting static friction force, the angle of friction, and systems with several contact points.

Six exercises spanning all chapters of the statics series, from the concurrent force system to static friction — with graded hints and the full solution path. Exam training above the chapters, not a course chapter of its own.