Make sure to show all work
Multiple Choice / Short Answer
1
. (1 pt each) Below are 4 graphs, each illustrating a Riemann Sum.
(a) (b)
(c) (d)
Match the graph above with its Riemann Sum below.
2. (2 pts) Consider points C and D. One is the centroid of the shaded region; the other is the average midpoint of n approximating rectangles as n →∞. Label each point, and briefly explain your choices in the section below right.
A particle moves along a line with velocity function v(t) = t2−t, where v is measured in meters per second. Find the displacement and the distance traveled by the particle during the time interval [0,5]
8
8
8
Extra Credit: (3 pts) Which of the following areas are equal? To receive credit, your answer must be justified by the correct explanation.
(e) (f)
1
1
1
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11. Material Removal Energy requirements
11.1 Specific energy requirements for different materials
1. What is a specific energy requirement (E1)?
– Required energy to remove mm3 material (W.s/mm3) or (hp.min/in3) Table 16-1 page 632
11.2 Machining fluids (coolants) for different material removal processes
1. Why need use Machining fluids?
i) Reduce cutting temperature,
ii) Reduce cutting force and increase production rate,
iii) Reduce tool wearing and elongate tool life,
iv) Flush out cutting chips,
v) Improve surface finish and product quality. Table 16-2 page 637
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11.3 Tap Chart – UNC/UNF Threads
Tap size
NF/NC
UNF/UNC
Threads
per inch
Basic major
dia
(inches)
Basic
effective dia
(inches)
Basic minor dia of
ext. threads
(inches)
Basic minor dia
of int. threads
(inches) Drill size
0-80 UNF 80 .0600 .0519 .0447 .0465 3/64
1-64 UNC 64 .0730 .0629 .0538 .0561 #54
2-56 UNC 56 .0860 .0744 .0641 .0667 #50
2-64 UNF 64 .0860 .0759 .0668 .0691 #50
4-40 UNC 40 .1120 .0958 .0813 .0849 #43
4-48 UNF 48 .1120 .0985 .0864 .0894 #42
5-40 UNC 40 .1250 .1088 .0943 .0979 #38
5-44 UNF 44 .1250 .1102 .0971 .1004 #37
6-32 UNC 32 .1360 .1177 .0997 .1042 #36
6-40 UNF 40 .1360 .1218 .1073 .1109 #33
8-32 UNC 32 .1640 .1437 .1257 .1302 #29
8-36 UNF 36 .1640 .1460 .1299 .1339 #29
10-24 UNC 24 .1900 .1629 .1389 .1449 #25
10-32 UNF 32 .1900 .1697 .1517 .1562 #21
1/4-20 UNC 20 .2500 .2175 .1887 .1959 #7
1/4-28 UNF 28 .2500 .2268 .2062 .2113 #3
5/16-18 UNC 18 .3125 .2764 .2443 .2524 F
5/16-24 UNF 24 .3125 .2854 .2614 .2674 I
3/8-16 UNC 16 .3750 .3344 .2983 .3073 5/16
3/8-24 UNF 24 .3750 .3479 .3239 .3299 Q
7/16-14 UNC 14 .4375 .3911 .3499 .3602 U
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EX 2. The drawings of a part are given below. All dimensions are in inches. The part will be made from a
solid steel rod of 4” diameter. Based on your knowledge of processes to produce round shapes, select the
appropriate manufacturing equipment and processes to make the part. Describe the manufacturing processes
and list them in the sequence of operations.
Op
#
Equip
ment
Description Tools In your assignment and
exams, draw hand
sketches for each
process step to illustrate:
10 Saw 1. Saw 4” steel rod into 5” length. a) wp
position,
b) wp holding method,
c) wp motion direction
(→must touch the
WP),
d) cutter shape and
position,
e) cutter holding
method,
f) cutter motion
direction (→ must
touch the tool).
20 Lathe 1. Clamp WP in three-jaw chuck with 4”
extend to right side;
2. Face the open end to clear up;
3. Turn OD 3.50” to 1.7” length;
4. Turn OD 2.50” to 1.00” length;
5. Groove 0.125×0.062 relief;
6. Drill ID 1.50” hole to 2.5” length;
7. Bore 1.50” hole to 1.666” to 2” length;
8. Bore 1.666’ hole to 1.750” starting
0.125” from the right end;
9. Chamfer to remove sharp edges;
10. Cut off at 1.500” from the right end.
Facing cutter
OD cutter
OD cutter
Groove cutter
1.50 drill bit
Boring cutter
Boring cutter
45 chamfer
Parting cutter
30 Drill 1. Drill 4 holes 0.1959” centered on 3.00” 0.196 drill
Note: 0.25-20 UNC =
Unified coarse threads,
nominal diameter 0.25”,
20 threads/inch.
34
40 Work
Bench
1. Tap four 0.25-20UNC holes;
2. Debur, clean and final inspection.
Tap 0.25-20 UNC
File
31
Note: If you re-clamp workpieces in the chuck jaws, you will lose the workpieces’ concentricity. Thus, design your
processes well and DO NOT re-clamp workpieces in the chuck jaws. If you have to re-clamp workpieces, you
much first drill a center hole on each end, then hold the workpiece on the lathe using two center pins as shown in
Topic 4 (Part 1) page 7-9.
Assignments
P1. The drawings of a part are given below. All final dimensions are in inches. The part will be made from a solid
steel of
your chosen original dimensions. Based on your knowledge of material removal processes, design the
manufacturing processes by filling the process route table with: 1) the correct manufacturing equipment, 2) the
correct material removal processes, and 3) the correct the process sequence to make this part. Follow the format as
shown in EX 2. For each operation step, you are required to draw hand sketches to show: a) Work Piece (WP)
position; b) WP holding method; c) wp motion direction (your arrow →must touch the WP); d) cutter shape and
position; e) cutter holding method; f) cutter motion direction (your arrow→ must touch the tool). Create the
process design table as shown in EX 2.
P2. The drawings of a part are given below. All dimensions are in inches. The part will be made from a solid steel of
your chosen original dimensions. Based on your knowledge of material removal processes, design the
manufacturing processes by filling the process route table with: 1) the correct manufacturing equipment, 2) the
correct material removal processes, and 3) the correct the process sequence to make this part. Follow the format as
shown in EX 2. For each operation step, you are required to draw hand sketches to show: a) WP (work piece)
position; b) WP holding method; c) wp motion direction (your arrow →must touch the WP); d) cutter position; e)
cutter shape and holding method; f) cutter motion direction (arrow→ must touch the tool). Create the process
design table as shown in EX 2.
Reminder: First you must face the WP to 6” length. Second you must drill a center hole at each end. Third you
must support the WP with two center pins using two center holes. Then you are able to 1) offset the tail stock, and
taper the 0.788” to 0.948” taper, 2) rotate the WP ends without loss the concentricity.
Note: Internal thread ¾-16-UNF-3B = Unified Fine
threads, nominal diameter 3/4”, 16 threads/inch, 3B
tolerance, which is tighter tolerance than 1B and 2B.
0
.7
8
8
0
.9
4
8
1
.0
0
0