ME 488 Design of Experiments
Homework Set #5 - Solution
1. Reanalyze the data for sand erosion, Problem #2, Homework #4, by using a halffractional design. Use the AB=C configuration, where A=Car, B=Route, and
C=Rain. Compare your results to those that you
Measurement of Fly Rod Spines
Graig Spolek
Modern fly rods
Hollow, tubular, and tapered Manufactured of carbon fiber reinforced plastic Formed by layering pre-preg (graphite imbedded cloth) around a mandrel
Mandrel
Pre-Preg
Finished Rod Exhibits: Variabl
Solution Fly Rod Data Analysis The equation for the average or the mean is the same for both the population and the sample:
The equation for the standard deviation, on the other hand, differs for the sample and the population because the number of degrees
AdatasetfortheaveragecommutingtimefrommyhousetoPSUhasthreedifferentvariables:
differentcars(JandM),differentroutes(BandK),anddifferentweatherconditions(rainYorN).
Route
B
B
B
B
K
K
K
K
Car
J
J
M
M
J
J
M
M
Rain?
N
Y
N
Y
N
Y
N
Y
Avg
Time
6.28
5.30
6.23
6.70
Homework Problem 9.7
Problem Objective:
Statement: Given y = ax2 and that the uncertainty in a is 3 % and that in x is 2 %,
determine the % uncertainty in y for the nominal values of a = 2 and x = 0.5.
Solution:
Known:
y = ax2
ua = 3 %
ux = 2 %
Analysis:
EXAMPLE
TURBINE INDEX TEST
ASME PTC 18-1992
WINTER-KENNEDY METHOD RELATIVE FLOW RATE
Two Pressure Taps on Spiral Case Outer Tap: High Velocity, Low Pressure Inner Tap: Low Velocity, High Pressure Measure Differential Pressure:
hq
TURBINE EFFICIENCY
P = Q