4.1 Equilibrium and Free-Body Diagram
System: An isolated portion of a machine or structure Equilibrium: If the system to be studied is motionless, or has constant velocity, Then the system has zero acceleration. Under this condition, the system is said t
Solid Round Rod
Fixed Variables
Length (in)
Force (lbs.)
Safety Factor n
47.875
60000
2.5
Euler's Equation
Long Column
Variables
Johnson Equation
Intermediate Column
S.R>(l/k)1
Material
P Critical (lbs.)
Outer Dia.(in)
150000
6
E (psi)
Yield Strength (psi
MECH 321 Notes: Radius of curvaturehow it is derived
In the class, I have intentionally skipped (or will, depending on when you downloaded this notes) the derivation of the relation between the radius of curvature and the first and second derivatives of a
MECH 321 Notes: The sign convention in mechanical system Many times we found that the signs are confusing. After many years of struggling, I would like to provide you some simple ways of determining the signs, which will be shown below. I hope these shall
Matlab
Introduction to Programming
Topics covered
Use
of colon notation If statement Loops
For While
Creating
and Executing Functions Writing data to files Reading data from files
Use of Colon notation
To create an array from 2 to 5
X = 2 : 5 (Matlab
Stress concentration
A Plate with a circular hole
When =a
= = 0 , = q 2q cos 2
If =/2
( )
max
= 3q
K=
max
= 3 Stress concerntration q factor
A Plate with an elliptical hole
y
q 2a x q
2b
y= a
max =
2a = 1 + b
Stress singular : will be studied in fr
4.13 Torsion
Torque vector: Moment vector that is collinear with an axis of a mechanical element The angle of the twist is given as
=
Tl GJ
torque T Length l Modulus of rigidity G Polar second moment of area J For solid round bar =
T J Shear stress propor
Matlab
A brief introduction
Starting Matlab
In OCC Computer Labs
Double-Click the Mathematics folder on desktop Double-click on Matlab icon
After a brief pause, the Command Window should appear. The following may appear on the Command Window:
Using Tool