Static
- Basic concepts-rigid and deformable body-newtons laws-quantities and units-scalars and vectors-components of a vector-dot product and cross product of vectors.
- Force- external and internal force- concentrated and distributed force- two dimensional force system- collinear forces- concurrent at a point forces- parallel forces- general forces- three dimensional force system
- moment- varignons theorem- couple- force_couple system- resultants.
- Equilibrium- equilibrium conditions- equilibrium of collinear forces, concurrent at a point forces, parallel forces, and general forces- two_ force member equilibrium - three_ force member equilibrium.
- Mechanical system isolation- free body diagram- types of supports- statically determinate and statically indeterminate systems.
- Plane trusses-truss analysis- method of joints
- Truss analysis using method of sections.
- Center of mass- centroids of lines, area and volumes-composite bodies and figures- theorems of pappus.
- First moment of area- second moment of area (moment of inertia)- definitions- product of inertia- radius of gyration.
- Transfer of axes- rotation of axes- Midterm test.
- Beams- types of beams- concentrated and distributed forces.
- Shear and moment relationships- shear force and bending moment diagrams for a beam.
- Flexible cables- parabolic cables.
- Friction- frictional phenomena- types of friction- dry friction- friction in flexible belts.
- Principle of virtual work.