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Course Weekly Lecture Plan

Week Topic
1 1. Introduction:

Principles of Mechanics, Vectors
2 2. Statics of Particles:

addition of vectors, sine and cosine rules, resolution of vectors into components, equations of equilibrium in two and three dimensions
3 3. Equivalent force systems:

Scalar product and Cross product of vectors, definition of moment of a force, Varignon’s theorem, moment of a couple, conditions for equivalency of force systems
4 4. Equilibrium of Rigid Bodeis:

free body diagram, supports, support reactions, statically determinate systems
Planar forces, resultant of a force system, equations of equilibrium
Resultant of a force system and equations of equilibrium in three dimensions
5 5. Distributed Forces, Center of gravity:

Definition of center of gravity, determination of sentroid of two and three dimensional objects
Theorems of Pappus-Guldinus.
Distributed loads and hydrostatics forces
6 6. Analysis of Structures:

Analysis of Trussed, Frames, and Machines.
7 7. Beams and Cables:

Calculation of shear force and bending moment in beams, drawing of shear and bending diagrams, analysis of cables.
8 8. Distributed Forces, Moments of Inertia:

Area moments of inertia, Mass moments of inertia, determination of moment of inertia by integration, Mohr's Circle.
9 9. Fundamemtal Concepts in Strength of Materials:

Tension, Compression, Shear, Strain, mechanical properties of materials.
10 10. Axially Loaded Members:
11 11. Torsion:
12 12. Bending:
13 13. Analysis of Stress and Strain:
14 14. Buckling:
 
 
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