Course Outline
1 Fundamental Concepts
1.1 Force and their characteristics
1.2 External and internal effects of forces
1.3 Force systems; concurrent, non-concurrent, parallel, non-concurrent, non-parallel; coplanar and spatial force systems
1.4 Components of a force; resolution of forces into planar and spatial components
1.5 Moment of a force
1.6 Vector analysis; addition, subtraction and multiplication of vectors
2 Resultants of force systems
2.1 Resultant of coplanar force systems
2.2 The couple and its characteristics
2.3 Resultant of spatial force systems
3 Equilibrium
3.1 Free-body diagrams
3.2 Equations of equilibrium for a coplanar concurrent force system
3.3 Equilibrium of bodies acted upon my two to three forces
3.4 Equilibrium of bodies acted upon by coplanar non-concurrent force system
3.5 Equilibrium of bodies acted upon by spatial concurrent force system
3.6 Equilibrium of bodies acted upon by spatial parallel force system
3.7 Equilibrium of bodies acted upon by spatial non-concurrent force system
4 Analysis of Structures
4.1 Types of elementary structures
4.2 Nature of supports and their reactions
4.3 Structural stability/instability
4.4 Static indeterminacy of structures – external and internal
4.5 Analysis of plane trusses; method of joints, method of sections
4.6 Analysis of pin-jointed frames -- method of members
5 Friction
5.1 Dry friction and coefficient of friction
5.2 Angle of friction
5.3 Application of friction in machine elements – wedges, square-threaded screws, belt-friction
5.4 Equilibrium of forces involving friction
6 Centroids and Centers of Gravity
6.1 Center of gravity of a two-dimensional body; flat plate
6.2 Determination of centroids by integration
6.3 Centroids of composite bodies -- approximation
7 Moment of Inertia; Product of inertia
7.1 Moment of inertia
7.2 Area moment of inertia by integration
7.3 Transfer formula for moment of inertia
7.4 Polar moment of inertia
7.5 Radius of gyration
7.6 Moment of inertia for composite sections
7.7 Product of inertia
7.8 Transfer formula for product of inertia
Solved Example Problems
