3.9 STATICS REVIEW TOPICS

Forces

2D

cartesian

polar

concurrent/coplanar/parallel

3D

right hand axes and position rotations about axis

direction cosines

projected

cartesian

Topics

resultants

forces with magnitude and unit vector

projecting forces with dot/scalar products

angles between forces with dot products

two force members

Moments

Calculating

shortest distance

perpendicular components

cross/vector product

Couples

movability

equivalent force couple pairs

Equilibrium

Particle

concurrent forces/parallel forces

force triangles

Rigid bodies

free body diagrams

action/reaction

supports, decomposition, and indeterminate problems

pulleys/springs/rollers

sum of forces/moments

Method of members

Trusses

Supports/tension/compression

Zero force members

Method of joints

Method of sections

Friction

Dry friction/dynamic friction

Slip/tip

Wedges

Belts

Mass properties

Center of mass/gravity/centroids

Centroids

integration

composite bodies

Second Moment of Inertia

integration

parallel axis theorem

composite bodies

polar moments of inertia

Internal forces

Shear force and bending moments

PVM diagrams