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Outline
Mechanics GGB
Forces and Vectors
Moments
Equilibrium
Centroids
Moment of Inertia
Shear and Bending Moment Diagrams
Homework Problems (Beer & Johnston, Statics 5th. ed.)
Friction
Mechanics GGB
Author:
William Haynes
Table of Contents
Forces and Vectors
Parallelogram Rule - General Components
Rectangular Components in Rotated Coordinates
Tip-to-tail Vector Addition
Addition of Rectangular Components
3d Visualizer
Parallelogram Rule - step by step
Parallelogram rule, one component and resultant known.
Moments
Moment of Force about a point
Definition of a Moment
Moments - Verignon's Theorem
Moments - Horizontal and Vertical Components
Moment Visualizer
Moment 3 Methods
Couples
Equivalent Force-Couple System
3D Moment
Perpendicular Distance
Equilibrium
Resultant vs. Equilibrant
Example - Inclined Plane 1
Example - Inclined Plane 2
Three Force Body Example
3d Particle Equilibrium Problem 2.113
Force Triangle
Centroids
Centroids of common shapes
Centroids: Composite Area Method
Centroid by composite area - shape with hole
Parabolic Spandrel
General Spandrel y=kx^n
Center of Gravity
double integration - polar coordinates - r dθ dr
double integration - polar coordinates - r dr dθ
Moment of Inertia
Differential Strip for rectangle
Moment of Inertia of a Rectangle
Moment of Inertia of T shape
Moment of Inertia of a Semi-circle
Polar Moment of Inertia
Shear and Bending Moment Diagrams
Shear and Moment Building Blocks
Shear and Bending Moment Diagram - Distributed Load
V-M 1: concentrated forces
V-M 2: concentrated moments
V-M 3: distributed loads
V-M 4: combined loads
V-M 5: arbitrary parabolic loading
Homework Problems (Beer & Johnston, Statics 5th. ed.)
Problem 2.1
Problem 2.5
Problem 2.6
Problem 2.7
Problem 2.19 & 2.29
Problem 2.30
Problem 2.32
Problem 2.33
Problem 2.35
Review Problem 3
Problem 2.101 & 102
Problem 2.101 Rotated
Moment Example 1
Problem 3.7
Problem 3.56
Problem 3.68
Problem 3.78
Oven Door Example
Backpack Example
Copy of Problem 3.56
Friction
block-incline - numbas
Next
Parallelogram Rule - General Components
New Resources
seo tool
Torus
Proof of a Rhombus by Construction and Deduction
Geometric linkage
Dividing a 2-digit number by a 1-digit number (2)
Discover Resources
cross-curve2
geogebramz
AnjRaman
Ferris Wheel 2
Volume of rectangular prisms
MODULE 14 CIRCLE WITH RADIOS
Discover Topics
Reflection
Definite Integral
Combinatorics
Trapezoid
Square
