grammar
Spring 2016
ENGR 2411 Mechanics of Materials Lab
Section No. 001
Lab No. 2
Lab Title: Calibration of UTM Using Morehouse Proving Ring
Submitted to:
Dr. Zahid Hossain
And
Mr. AM Feroze Rashid
College of Engineering
Submitted By:
Name: Kudakwashe Makuvire
Student ID: 50378716
03/07/2016
TABLE OF CONTENTS
|
Title |
Pg. No. |
|
List of Tables |
3 |
|
List of Figures |
4 |
|
Abstract |
5 |
|
Introduction |
5 |
|
Background and Methodology |
5 |
|
Results and Discussions |
8 |
|
Conclusions and Recommendations |
9 |
|
References Cited |
9 |
|
Appendix A Raw Data |
10 |
|
Appendix B Detail Calculations |
11 |
List of Tables
|
Table No. and Title |
Pg. No |
|
Table 1 Calculations of the Tinius Olsen UTM using a Proving Ring at 25°C |
7 |
List of Figures
|
Figure No. and Title |
Pg. No |
|
Figure 1. Proving Ring |
1 |
|
Figure 2. Actual load vs. Machine Load |
8 |
|
Figure 3. Error (lb.) vs. Proving Ring Load (lb.) |
8 |
ABSTRACT
For this lab we studied the accuracy of the Tinius and Olsen machine using the proving ring; and we found the error of the T&O machine to be 0.054%. This is in the acceptable range as per the verification methods section of our handout.
Keywords: Morehouse Proving Ring, UTM, T&O machine, accuracy, % error
INTRODUCTION
A proving ring is a device which is used to measure force by being subjected to compressional or tensional loads. The ring is circular shaped, and usually made out of a steel alloy, with a measuring system. The measuring system consists of a vibrating reed, internal and external bosses and a micrometer screw-gauge. The detailed description of the ring is shown in figure 1.
Figure 1. Proving Ring
BACKGROUND AND METHODOLOGY
The Tinius and Olsen Machine, shown in figure 2, is used for testing compressions of different objects be applying loads to find deformation and other material characteristics. The load is produced by hydraulics inside the machine and can be manipulated within a few pounds accuracy. It has a capacity of 60,000 pounds. This machine is calibrated and verified by using the Morehouse proving ring that is shown in Figure 1 as specified by the ASTM. It has a capacity of 100,000 pounds
The following steps were followed to obtain the values we were given by our instructor:
1. Make sure all items are off the table and the machine is ready for start-up.
2. Then, Power ON; wait for “clicking” to stop before proceeding any further.
3. Zero the “LOAD” and “UNLOAD” knobs in the lower left-hand side.
4. Turn Pump ON. Allow machine to warm up for about 15 minutes.
5. Switch to Manual Control. Make sure that the Lower Head is in an approachable position.
6. Leave machine in ‘FAST’ mode to Zero table. Switch to ‘SLOW’ for Experiments.
7. Zero all Channels. Verify proper range on loading.
8. Depress “LOAD” and rotate “LOAD” knob to approx. 70 (up to 100 is OK) to raise table to 6” according to readout. 2” is Fine.
9. Decrease “LOAD” to zero. Then hit STOP.
10. Press and hold “FAST UNLOAD” to allow table to return to neutral position.
11. When pitch of motor changes, then release “FAST UNLOAD” button and allow table to return to equilibrium.
12. Switch to “SLOW.”
13. Re-Zero all channels and reset Max load with the “CLEAR” button.
14. Place Proving Ring on the table; center is approximately.
15. Obtain “Temperature” and “No-Load” reading. Rotate dial away from reed 4 revolutions.
16. Lower the lower head to close to top of the Proving Ring. Demonstrate Momentum of head.
17. Verify that knobs are at Zero and press “LOAD.”
18. Increase load slowly until Ring contacts lower head. Approx. 20% should be sufficient.
19. Once load starts registering, watch only the load reading.
20. Monitor Proving Ring during loading to ensure reed clearance.
21. Reduce loading rate when the desired load is approached. Null range is at approx. 12 on the dial.
22. At desired load(s), take reading on the ring dial while another maintains static load.
23. Once all loads have been recorded (from Ring and machine), prepare to unload.
24. To unload, decrease “LOAD” dial to zero. If unloading stops, press “STOP.” Then press “UNLOAD” and increase “UNLOAD” dial until ring is unloaded.
25. When table movement (down) is observed, press “STOP.”
26. Obtain ‘NO-LOAD’ reading from Proving Ring and Machine.
27. Remove Ring from the machine and return it to the cabinet.
28. Depress “FAST UNLOAD” to allow table to return to neutral position.
29. Shut OFF machine.
Equations
After the data was collected from the experiment we had to derive a few equations which would help us understand the data and compare it to the accepted values for the Morehouse Ring.
Zero Error Adjusted
This took into account the point at which the vibrating reed was in contact with the screw gauge which was not necessarily the zero point of the screw gauge reading. For this lab the zero error was 2 divisions.
Zero Error adjusted = Actual reading – 2 divisions
Temperature adjusted Reading (
The accredited values that came with the proving ring were retrieved at a temperature of 23 degrees Celsius. It is also known that metals have properties that will be affected by temperature. The purpose of deriving the temperature adjusted reading is so that we can make very accurate comparisons with the original readings, by simulating the same conditions.
Actual Load
The actual load is what the corresponding load should be for the micrometer reading you get. This value is derived by using a correction factor. For our experiment the correction factor at 23 degrees is 138.5.
Percent Error
Correction Factor
RESULTS AND DISCUSSIONS
All of the following data was collected at the constant temperature of 25°C. The fact that
temperature stayed the same throughout the experiment decreases the chance for unwanted error. Table 1 shows all the measurements and calculations from the experiment.
Table 1. Calculations of the Tinius Olsen UTM using a Proving Ring at 25°C
|
machine load (lb.) |
proving ring reading |
Zero Error Adjusted Proving Ring Reading |
Temperature Adjusted Proving Ring Reading |
Correction Factor |
Actual Load (lb.) |
Error (lb.) |
Error (%) |
|
0 |
2 |
0 |
0 |
0 |
0 |
0 |
0 |
|
10000 |
73 |
71 |
70.96166 |
140.84507 |
9994.6 |
5.4 |
0.054 |
|
20000 |
143 |
141 |
140.92386 |
141.84397 |
19989.2 |
10.8 |
0.054 |
|
30000 |
213 |
211 |
210.88606 |
142.18009 |
29983.8 |
16.2 |
0.054 |
|
40000 |
282 |
280 |
279.8488 |
142.85714 |
39978.4 |
21.6 |
0.054 |
|
50000 |
350 |
348 |
347.81208 |
143.67816 |
49973 |
27 |
0.054 |
|
0 |
2 |
0 |
0 |
0 |
0 |
0 |
0 |
Figure 2 shows the plotting of actual load versus machine load, and Figure 3 shows the percent error graph from the results. Figure 3 gave a linear regression line for the actual load readings compared to the machine load readings. They were slightly off from one another, but not too much to be noticeable in this graph.
Figure 2. Actual load vs. Machine Load
Figure 3. Error (lb.) vs. Proving Ring Load (lb.)
CONCLUSIONS AND RECOMMENDATIONS
We never got to perform the actual experiment ourselves but from the given data and by working the results ourselves. We determined that the T&O machine was accurately calibrated and therefore fit for normal use. We did have sources of random error, of which the major one was getting the deflection reading to be as precise as possible. The best way to minimize this error would be to take several more readings as well as practicing getting the readings from the dial.
SOURCES
Design and Construction of the Proving Ring. (n.d.). Retrieved February 28, 2016, from http://www.nist.gov/pml/div684/grp07/provingringdesign.cfm
APPENDIX A RAW DATA and ORIGINAL HANDOUT
APPENDIX B DETAIL CALCULATIONS
Actual load vs. Machine Load
0 10000 20000 30000 40000 50000 0 0 9867.2188229999992 19581.370346999996 29281.529430999995 38829.021000000001 48224.144891999997 0Machine Load (lb)
Actual Load (lb)
Error (lb) vs. Proving Ring Load
0 9994.5999999999985 19989.2 29983.799999999996 39978.400000000001 49973 0 0 5.4000000000014552 10.799999999999272 16.200000000004366 21.599999999998545 27 0 1% error 0 9994.5999999999985 19989.2 29983.799999999996 39978.400000000001 49973 0 0 99.945999999999984 199.89200000000002 299.83799999999997 399.78400000000005 499.73 0 2% error 0 9994.5999999999985 19989.2 29983.799999999996 39978.400000000001 49973 0 0 199.89199999999997 399.78400000000005 599.67599999999993 799.5680000000001 999.46 0Proving Ring Load (lb)
Error (lb)
1