Mechanics..

Mechanics, especially solid mechanics. this post can be considered a mini primer on solid mechanics. i'm gonna cover most of the fundamental theories in plain english (Occasional math). okay, let's wait no more. let's get started...you can google what solid mechanics is and where it's used yourself.
here we go.
1 - Stresses and Strains
1.1 - What is stress? it's just force per unit area.

1.2 - What is strain?

1.3 - Stress Strain relationship? Hooke's law

1.4 - Axially loaded bars?

1.5 - Compound bars?

1.6 - Thermal stresses?

1.7 - Principal Stresses and Strains :

1.8 - Biaxial stress :

1.9 - Mohrs Circle : to understand this, you gonna need some mathematical background.

2 - Analysis of Beams :
2.1 - Shear force and bending moment :

2.2 - types of beams :

2.3 - Types of Loads :

2.4 - Shear force and bending moment diagrams :

2.5 - Relation between shear force and bending moments :

2.6 - Theory of simple bending :

2.8 - Bending Stress in beams :

2.9 - Shear Stress :

we use bending stress and shear stress to find stress distributions for various cross sections and shapes. more on that in future.

3 - Deflection of Beams :
3.1 - Slope and deflection of beams :

well that's all there is to know about slope and deflection. Most of the deflection theory lies in mathematics and simple algebra. Some of the notable methods for solving deflection and slope are double integration method, moment area method, strain energy method.

4 - Torsion of Circular Shafts :
4.1 - Theory of Pure torsion :

4.2 - some concepts :

4.3 - Springs :

we study stresses, deformations, axial loads and torque acting on springs.
4.4 - Thin Cylinders :

4.5 - Columns and Struts :

Some interesting images :

Note : Unfortunately, i didn't cite my sources for any of the images i've used. anyone interested can always left click on the image for the image link and its source.
I would like to end this post by saying a few things, most of the above concepts are pretty rudimentary, these are like the nuts and bolts of solid mechanics. Have a good time!