Notes
Outline
Factor of Safety
What is a factor of safety?
Material properties are variable
Often, it is difficult to know exact loadings
A factor of safety enables the engineer to acknowledge these uncertainties
F.O.S. can be used to evaluate the quality of a design
F.O.S. can be used to measure the likelihood of failure
Design stress
First of all, what is stress:
F/A =s (Force/Area)
Design Stress, sd
Used to account for uncertainties in material properties and inexact information about loadings
If loading is static, or material is ductile then sd = N’*sc (maximum stress calculated * a design factor)
Engineer should select a material with a yield strength,Sy, of at sd.
Safe Stress
The safe stress, or working stress is:
sw = Sy/N
N = factor of safety
Yield Strength
Where elastic behavior ends, and plastic behavior begins
the proportional limit
The proportional limit is difficult to identify in many cases
Use the 2% off-set rule
Yield Strength
s
What is meant by ductile?
Ductility is a measure of the degree of plastic deformation that is sustained at fracture
ductility is measured using % elongation
%EL = 100*(lf – lo)/lo
if %EL >5%, material is considered ductile
lf = fracture length of test specimen
lo = original gauge length of test specimen
If a material does not experience much plastic deformation at fracture, the material is called brittle
Sketch out s-e diagrams for:
A brittle material
A ductile material