Curved Beams: Development similar to straight beams
The approach:
Kinematics - Deformation - plane sections remain plane (no appreciable shear)
Assume - Isotropic Elastic Material Law
Equilibrium - to put it together
L
L
Inner stiffer shorter load path
pi

3 types of fatigue:
*rocket chamber or powerplants that cycle both pressure and temperature
LCF: Low Cycle Fatigue
strain life
given stress sprectrum:
break up into array of shifted cyclic stress levels:
CONSTANT LIFE DIAGRAM
ductile materials:
empiracle

Castigliano's Theorem
*Body elastically deformed by any combination of loads
*deflection at any point in any direction is equal to the partial derivative of the strain energy wrt a load located at
the point acting in that direction

wind turbine hub shrink:
what kind of torque could be developed using a 400*F "shrunk on" hub?
what would the resulting stress be?
how do tolerances affect results?

assume:
-away from ends
-load through centroid
-rod end no shear or moment
-uniform stress
Now try thinner!
.35 wall
A=.106 in sq
ny=1.24, nu=1.45
too small!
.42 wall
A=.126 in sq
ny=1.48
nu=1.77
Other things to consider besides stress:
*ENDS
*STIFFNESS

Andy Kamegawa
Econ 303
Big Idea
1. Robinson, K. (2010). Changing educational paradigms. Retrieved 1 May 2015
from rsa.org website: https:/www.youtube/watch?v=zdfDgPgs
Robinson argues the education system is preparing children for the future by
using metho