Cables and pressure vessels
Next to rigid bars, structures can also consist of cables and pressure valves. This is often a dicult
subject, since cables are rarely straight. Of course the normal equilibrium equations still apply, but these
are often not en
Statics denitions
1
Denition list
Two-force member - An object (like a rope, or a bar) on which two forces are acting. Both forces
have the same magnitude, but opposite directions. These forces seem to cancel eachother, but they
work on dierent positions
Virtual Work
Virtual work, if mastered well, can make it very easy to solve certain problems. While normal solving
methods can involve numerous calculations, virtual work sometimes enables you to solve a problem with
just one equation, and thats the benet
Using signs: always a dicult thing
When youre calculating all kinds of formulas, theres always the matter whether to substract values from
eachother, or to add them up. There is a method which saves you that trouble, which works in normal
coordinate syste
Monday, October 26, 2009
10:08 AM
Chapter 6: Analysis of Structures
Some of the most common structures we see around us are buildings & bridges. In addition to these,
one can also classify a lot of other objects as "structures."
For instance:
The space st
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SYSTEMS OF FORCES
FORCES
Statics is the study of rigid
Physics 2 Spring 2013
Thermodynamics Practice Problems - Solutions
1. An ideal gas in a cylinder tted with a
piston is held at xed pressure. If the
temperature of the gas increases from 50
to 100 C, by what factor does the volume
change?
1
2. A scuba dive
Physics 2 Spring 2013
Thermodynamics Practice Problems - Solutions
1. An ideal gas in a cylinder tted with a
piston is held at xed pressure. If the
temperature of the gas increases from 50
to 100 C, by what factor does the volume
change?
Solution
From the
Sections
Shear forces and bending moments aren’t diﬃcult, as long as you got an easy method to calculate them.
In this chapter I just explain a method. Use it if you ﬁnd it handy, and otherwise just use the method
you’re used to.
1
The convention
The most
Truss structures and frames
Truss structures can be incredibly dicult things to handle, and the only way to be able to handle them
well, is to practice a lot. But were going to try to state some general things about them anyway.
1
Cutting
When calculating
Engineering Statics
1
Compiled by Ryan Meier 2013
Engineering Statics
2
Compiled by Ryan Meier 2013
Engineering Statics
3
Compiled by Ryan Meier 2013
Engineering Statics
4
Compiled by Ryan Meier 2013
Engineering Statics
5
Compiled by Ryan Meier 2013
Engin
Diagrams
A diagram is just a visual representation of the normal force/bending moment/shear force in the entire
structure. Drawing them doesnt have to be dicult. But before you start drawing, you rst have to
make sure that you have a clear drawing of the
Distributed Loads
Distributed loads dont have to be dicult, as long as you know how to deal with them. Its all about
replacing them by normal forces, so you can use the normal statics rules on them. There are multiple
kinds of distributed loads. Well hand
How to handle 3D problems
3D problems are rather tricky. You cant draw them well on a 2D sheet, which makes it a bit annoying.
3D problems can be very fun though. You just have to be able to imagine the problem in a good
3-dimensional way, however that is
Monday, August 24, 2009
1:30 PM
CE-297 BASIC MECHA ICS I - STATICS
Chapter 1: Introduction
1.1 What is mechanics? Why should we study it?
Fill in the blank: _ mechanics
Structural
Fluid
Thermal
Solid
Continuum
Space / Celestial
Molecular
Quantum
Mechani
Tuesday, November 17, 2009
10:53 PM
Chapter 9: Distributed Forces: Moments of Inertia
Recall from Chapter 5, we considered
Centers of Areas, Volumes, Mass
We considered distributed forces which were proportional to the area or volume over which
they act.
Tuesday, November 17, 2009
10:53 PM
Chapter 8: Friction
8.1 - 8.2 Coulomb Friction Model
Thus far we have been considering problems in equilibrium without friction.
In reality, friction is always present between any two surfaces in contact
which may be mo
Wednesday, October 07, 2009
12:39 PM
Chapter 5: Distributed Forces; Centroids and Centers of Gravity
What are distributed forces?
Forces that act on a body per unit length, area or volume.
They are not discrete forces that act at specific points. Rather t
Friday, September 04, 2009
11:26 AM
Chapter 3: Rigid Bodies; Equivalent Systems of forces
3.1 -3.3 Introduction, Internal & External Forces
Rigid Bodies: Bodies in which the relative position of any two points does not change.
Note:
In real life no body
Statics S.I.
Chapter 5- Equilibrium of a Rigid Body
5.1 Conditions for rigid-body equilibrium
Previously we found that a system of forces can be reduced to a force-couple
system.
When the force and couple are equal to zero, the body is said to be in equil
Statics S.I. Notes
Chapter 3 Equilibrium of a Particle
Useful Link:
http:/emweb.unl.edu/NEGAHBAN/EM223/Intro.htm
http:/www.secretsofengineering.net/Statics/PDF_files/Statics-Unit-06.pdf
http:/ocw.utm.my/course/view.php?id=14
When a body is in equilibrium,
2.
a. Draw the shear and moment graphically.
b. Use equation method to calculate shear and moment.
Draw the shear and moment
a. Graphically.
b. Using equations.
Calculate the Moment of Inertia about the y-axis.
Calculate the moment of Inertia about the y-