Draw a vector in standard position, or anywhere

Find the scalar multiple of a vector

Adding vectors

Subtracting vectors

Find the dot product of vectors

Find the length of a vector and give a unit vector in it's direction

Determine orthogonality and angles between vectors

Find the Projection of v onto u

Determine the cross product of two vectors in R^3

Using i, j, k unit vectors to express vectors

Right hand rule for the vector cross product

A quick cross product shortcut

Law of Cosines Example

What is static equilibrium

How to draw good free body diagrams (FBDs)

Why is tension the same everywhere in a rope

How to calculate forces of three ropes pulling in different directions

Using symmetry in statics problems

How to find the mass pulling on a spring when given the deflection

How to find the force exerted on a spring

More comprehensive statics spring problem

How to calculate normal force on a slope (statics)

How to calculate tension in a multiple pulley system

How to calculate tension in a multiple pulley system on a slope

What is a moment

How to calculate moments with the cross product

How to balance a see saw using moments example problem

Find the moment of a force about a point

Representing force couples as moments

Force couple example problem

Reaction forces and the different types of 2D supports

Statics problem #1 with support reactions

Statics problem #2 with support reactions

Represent a system of forces as an equivalent system with one force and one moment

Friction example problem #1

Friction example problem #2

Friction problem with moments: pushing a vending machine, will it tip?

Reaction forces and the different types of 3D supports

How to solve 3D statics problems

3D statics problem worked example with ball/socket and cables

3D statics problem: worked example with hinge and cable

What are trusses?

Truss analysis by method of joints explained

Truss analysis by method of joints: worked example #1

Truss analysis by method of joints: worked example #2

How to identify zero force members in trusses

Find the zero force members in a truss: example #1

Find the zero force members in a truss: example #2

Truss analysis by method of sections explained

Truss analysis by method of sections: worked example #1

Truss analysis by method of sections: worked example #2

How to solve frame and machine problems (statics)

Two force members explained (statics)

Three force members explained

Frame example problem #1

Frame example problem #2

Frame example problem #3

Introduction to centroids (statics)

How to find the centroid of simple shapes

How to find the centroid of simple composite shapes

How to find the centroid of the area under a parabola

Distributed loading on a beam example #1: rectangular loads

Distributed loading on a beam example #2: triangular loads

Distributed loading on a beam example #3: parabolic loads

Distributed loading on a beam example #4: composite shapes

Introduction to internal forces

Internal force sign convention

Shear force and bending moment diagrams example #1: single point load

Shear force and bending moment diagrams example #2: multiple point loads

Shear force and bending moment diagrams example #3: distributed load

Shear force and bending moment diagrams example #4: applied moment

Shear force and bending moment diagram example #5: mixed distributed and point loads

Shear Force and Bending Moment Diagram Software