Names:
Group #:
Section:
Pressure Vessel - Worksheet
1) Analyze the experimental results from the thin-walled pressure vessel using the step by step directions in the
“Calculations” portion of your lab handout and complete the following:
a)
What are the slopes of the regression lines
b) Calculate
c)
Calculate
d) Calculate
 x'
P
,
 y'
P
, and
 x' y'
,
B
P
, and
C
?
P
using the 0 0, 450, 900 strain rosette equations. (show calculations)
P

 x'  y'
,
, and x ' y '
P
P
P
1  2
,
P P
A
P
, and
P
using the biaxial Hooke’s Law equations. (show calculations)
using the stress transformation equations or Mohr’s circle. (show calculations)
2) Analyze the thin-walled pressure vessel theoretically using the step by step directions in the “Calculations” portion of
your lab handout and complete the following:
Calculate
1
P
and
2
P
using the thin-wall theory equations. (show calculations)
b) Calculate
1
P
and
2
P
using the thick-wall theory equations. (show calculations)
a)
3) Analyze the experimental results from the thick-walled pressure vessel using the step by step directions in the
“Calculations” portion of your lab handout and complete the following:
a)
What are the slopes of the regression lines
1
P
and
3
P
?
b) Calculate
1
P
3
P
and
using the biaxial Hooke’s Law equations. (show calculations)
4) Analyze the thick-walled pressure vessel theoretically using the step by step directions in the “Calculations” portion of
your lab handout and complete the following:
Calculate
1
P
and
3
P
using the thick-wall theory equations. (show calculations)
b) Calculate
1
P
and
3
P
using the thin-wall theory equations. (show calculations)
a)
5) Analyze the results and make the following comparisons by completing the following tables:
Experimental
Results
Thin-Wall Comparison
Values predicted by thin% error
wall theory
Values predicted by
thick-wall theory
% error
Values predicted by
thick-wall theory
% error
1
P
2
P
Measured(φ)
Calculated(θ p )
% error
Rosette Offset Angle
Experimental
Results
Thick-Wall Comparison
Values predicted by thin% error
wall theory
1
P
3
P
6) Are there any out of place data points or large percent errors? If so, give some possible reasons why? Which theory is
more accurate? Why?
7) After the analysis be sure to back up your results by completing the following tasks:
a) Attach the Lab Data Sheet completed in full to the end of this worksheet.
b) Attach a printout of the Excel analysis. This should include tables of the all the measured and calculated values
necessary for the analysis, and all the strain vs. pressure plots with the regression lines and equations. (Label the
tables and graphs appropriately.)