Static
- 1. Definition of mechanical science and its divisions, definition of rigid body and deformable body, definition of static science, basic concepts of mechanical science, quantities and units of measurement, scalar and vector quantity, characteristics of a vector, types of vectors (constant, Sliding, Azad), addition and subtraction of vectors (drawing and analytical method), decomposition of a vector into its components, internal and external multiplication of two vectors and its applications
- 2. Definition of force and its division (external and internal forces, concentrated and extended forces), coplanar, converging, aligned and parallel forces, sum of forces in plane and space, breakdown of force into its components in plane and space.
- 3. Torque definition, vector and scalar torque relationship, Varignons theorem, couple definition, couple vector and scalar relationship, replacing a force by a force and couple system, determining the result of the force, torque, couple system on the plane.
- 4. Definition of balance and its conditions, balance of parallel, perpendicular and parallel forces, balance of forces in the general state, balance of two-force and three-force body.
- 5. Definition of free diagram and its drawing, types of support (joint support, roller, welding, smooth surface, rough surface, cable), definite and indeterminate static systems.
- 6. Truss, truss analysis by joint balance and shear balance methods, special modes in trusses. Center of mass, geometric center of line, surface and volume, geometric center of composite bodies, Pappus theorems.
- 7. Primary moment of surface (static moment), secondary moment of surface (moment of inertia), product moment of inertia, radius of gyration, transfer of moment of inertia to parallel axes, transfer of moment of inertia to inclined axes, determination of maximum and minimum moment of inertia.
- 8. Types of beams, cutting and bending in beams, beams under concentrated and extensive loading, determination of shear force and bending moment in different parts of the beam, drawing a diagram of changes in shear force and bending moment along the length of the beam.
- 9. Cables, general relationships of cables, cable with a parabolic shape
- 10. Friction, types of friction, rules of dry friction, friction between wheel and belt, principle of virtual work in equilibrium problems.