Chapter 9:
Distributed Forces:
Mass Moment of Inertia
APPLICATIONS
If a torque M is applied to a fan
blade initially at rest, its angular
speed (rotation) begins to
increase.
Which property (which we will
call P) of the fan blade do you
think effects the
Chapter 9:
Distributed Forces:
Moments of Inertia
Contents
Introduction
Moments of Inertia of an Area
Moment of Inertia of an Area by
Integration
Polar Moment of Inertia
Radius of Gyration of an Area
Sample Problem 9.1
Sample Problem 9.2
Parallel Axis The
Chapter 7 An Introduction to Forces in Beams and Cables
Internal Forces in Members
Cables With Concentrated Loads
Various Types of Beam Loading and
Support
Cables With Distributed Loads
Parabolic Cable
Shear and Bending Moment in a
Beam
Relations Among Lo
Chapter 6
Terms and
Analysis of Trusses,
Frames, Machines and
other Structures
Analysis of Trusses by the Method of Joints
FBD:
Dismember the truss and create a free-body
diagram for each member and pin.
The two forces exerted on each member are
equal,
Chapter 6
Terms and
Analysis of Trusses,
Frames, Machines and
other Structures
Contents
Introduction
Definition of a Truss
Simple Trusses
Analysis of Trusses by the Method of
Joints
Joints Under Special Loading
Conditions
Space Trusses
Sample Problem 6.1
SIMPLE TRUSSES, THE METHOD OF JOINTS,
& ZERO-FORCE MEMBERS
Todays Objectives:
b) Determine the forces in members
of a simple truss.
c) Identify zero-force members.
In-Class Activities:
Simple Trusses
Method of Joints
Zero-force Members
APPLICATIONS
Tru
Chapter 6
Terms and
Analysis of Trusses,
Frames, Machines and
other Structures
Contents
Introduction
Definition of a Truss
Simple Trusses
Analysis of Trusses by the Method of
Joints
Joints Under Special Loading
Conditions
Space Trusses
Sample Problem 6.1
Chapter 4: Equilibrium of Rigid Bodies
How to write Free Body Diagrams for real
bodies (instead of point particles)
Reactions at supports
Types of Supports (2D and 3D)
Statically Indeterminate Reactions
Equilibrium of 2-force and 3-force members
Equ
Brief Review: Moment of a Force About a Point
A force vector F is defined by its magnitude and direction.
Its effect on the rigid body also depends on it point of
application.
The moment of F about point O is defined as
MO = r F
The moment vector MO is
Chapter 4: Equilibrium of Rigid Bodies
How to write Free Body Diagrams for real
bodies (instead of point particles)
Reactions at supports
Types of Supports (2D and 3D)
Statically Indeterminate Reactions
Equilibrium of 2-force and 3-force members
Equ
Brief Review: Fundamental Principles
Newtons First Law: If the resultant force on a
particle is zero, the particle will remain at rest
or continue to move in a straight line.
Parallelogram Law
Newtons Second Law: A particle will have
an acceleration pr
Brief Review: Fundamental Principles
Newtons First Law: If the resultant force on a
particle is zero, the particle will remain at rest
or continue to move in a straight line.
Parallelogram Law
Newtons Second Law: A particle will have
an acceleration pr
Brief Summary: Fundamental Principles
Newtons First Law: If the resultant force on a
particle is zero, the particle will remain at rest
or continue to move in a straight line.
Parallelogram Law
Newtons Second Law: A particle will have
an acceleration p
THREE-DIMENSIONAL (3D) FORCE SYSTEMS
Todays Objectives: from 2D to 3D.
Solve 3-D particle equilibrium problems by
a) Drawing a 3-D free body diagram, and,
b) Applying the three scalar equations (based on one vector
equation) of equilibrium.
In-class Activ
Statics of Particles
Contents
Introduction
Resultant of Two Forces
Vectors
Addition of Vectors
Resultant of Several Concurrent
Forces
Sample Problem 2.1
Sample Problem 2.2
Rectangular Components of a Force:
Unit Vectors
Addition of Forces by Summing
Compo
Welcome to ME 2120 Statics !
Mechanics: Study of what happens to a thing (the technical
name is BODY) when FORCES are applied to it.
Mechanics
Rigid Bodies
(Things that do not change shape)
Statics
Dynamics
Deformable Bodies
(Things that do change shape)