11.5 PRACTICE PROBLEMS
1. Select gauge blocks from an 83 piece set to build up a dimension of 3.2265"
2. Use the Unilateral System for a GO/NO-GO gauge design if the calibrated temperature is 72°F and the actual room temperature is 92°F. The shape to be tested is shown below.
3. Find the Running Clearance fit category for the hole and shaft shown below.
4. Set up a sine bar (with 5 inches between cylinder centres) to provide an angle of 15°.
d) If the room temperature is 95°F and the coefficient of expansion is .000001" per inch per °F, and the gauge blocks are calibrated to 68°F, what is the actual sine bar angle?
5. If the scale below reads .48, label the bottom vernier scale.
6. List four different reasons that a material like cheese would not be good for gauge blocks.
7. When using a dial indicator, is parallax or the principle of alignment more significant? Explain your answer.
8. How can you verify that a standard square is 90°?
9. Design a GO/NO-GO gauge for a 5" by 7" square hole with tolerances of ±.1" on each dimension. Show the tolerances and dimensions for the gauges.
10. Write the values displayed on the vernier scales below.
1. If the thimble on a micrometer is made larger, does it affect the `radial arm', or the `inclined plane' principle?
12. When a comparator approaches a workpiece from one direction, it will read a different value than when it approaches from the other way. Explain why.
13. One type of fit is for Interchangeable Assemblies (it uses tolerances to ensure that parts can be made separately, but still fit together). What are the two other types of fits that were described in class? Describe why they are different.
14. A square hole has one dimension that will be checked with a GO-NOGO gauge set. The basic dimension is 2.005" ±0.003". The gauge and hole are used in a room temperature of 105°F, but they should be accurate when at 60°F. The gauge coefficient of linear thermal expansion is 0.000001", and the coefficient is 0.000002" for the material of the workpiece with the hole.
15. A square is set up the two ways shown below, and a comparator is run from one end to the other. The resulting measurements result in the rises, or drops indicated. If the comparator is run over a total distance of 5" for both measurements, what is the angle of the squares A and B?
16. The hole shaft pair is assembled with an LN fit.
17. A sine bar will be used to give an angle of 82°35'
d) If the temperature in the room is 65°F at calibration, and 85°F at use, what change in angle does the sine bar have (coefficient of linear thermal expansion 0.000001 "/"°F for the sine bar, and 0.0000005 "/"°F for the gauge blocks)?
18. Draw the number on the vernier scale below if the reading is 1.12
19. Parallax effects are more important than the principle of alignment for flow type pneumatic comparators - TRUE or FALSE
20. Draw GO/NO-GO gauges for the shaft below.
13. If we wanted to measure the diameter of the inside of a tip of a medical syringe (in the range of 0.005") what would be the best measuring instrument?
a) the radial arm principle amplifies the rotation of a screw to a larger surface area and radial travel.
b) the inclined plane principle means that a small axial travel for a thread will be amplified to a much larger radial travel
c) the principle of alignment suggests that the dimension to be measured, and the measuring instrument should be aligned along the same axis.
20. Given an 83 piece set of gauge blocks, how many different stacks 1.1117" in height can be built from the same set? (do not consider wear blocks)
24. a) given a metric gauge block set that is calibration grade (a tolerance of +0.00010mm to -0.00005mm) find the dimension and tolerance of a stack that is 3.2761cm in height. (4%)
b) If the stack found in a) is increased in temperature from the ambient of 23°C to a higher temperature of 41°C, what is the new dimension and tolerance? (assume the coefficient of linear thermal expansion is 10-7K-1. (8%)
26. Two blocks are stacked as shown below. In the first test we measure the drop in height (0.005") from one side to the other (5.000"). Then the block on top is turned 180° (left to right)and the new drop in height (0.015") is measured over a distance (4.000"). What are the angles of each of the blocks? (8%)
27. For mass production the inspector will need a fast and accurate instrument for measurement in order to ensure that part dimensions are between acceptable limits. What kind of category of instruments will you choose? Explain why. (3%)
30. What would happen if the gauge blocks being lapped were first lapped in the pattern on the left, then second with the pattern on the right? (3%)
31. A steel scale with 1mm divisions will have a vernier scale added to get readings to 0.1mm. Use a diagram to show this scale and number the divisions. (6%)
33. Design Limit Gauges (GO/NOGO) for the block with a hole in it. Assume that the hole is always perfectly centered. (12%)