a) Three blocks A, B, and C and a grooved block D have dimensions a, b, c, and d as follows:       a= 1.500 ± 0.001 in        b= 2.000 ± 0.003 in         c= 3.000 ±  0.004 in        d= 6.520 ± 0.010 in Determine the mean gap  ̄w and its tolerance. Determine the mean size of d that will assure that w ≥ 0.010 in.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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a) Three blocks A, B, and C and a grooved block D have dimensions a, b, c, and d as follows:

      a= 1.500 ± 0.001 in

       b= 2.000 ± 0.003 in

        c= 3.000 ±  0.004 in

       d= 6.520 ± 0.010 in

  1. Determine the mean gap w and its tolerance.
  2. Determine the mean size of d that will assure that w ≥ 0.010 in.

b) A 1-in-diameter rod, 3 ft long, of unknown material is found in a machine shop. A variety of inexpensive nondestructive tests are readily available to help determine the material, as described below with results in bracket:

i. Visual inspection. (Dark gray, rough surface finish, moderate scale)

ii. Check if it is attracted to a magnet. (Yes)

iii. Measure Weight. (7.95lbf)

iv. Inexpensive bending deflection test: Clamp one end in a vise, leaving 24 in cantilevered. (5/16in)

v. Brinell hardness test. (HB = 200)

 

A
Transcribed Image Text:A
Table A-5
*onen prefemst.
Physical Constants of Materials
Modulus of
Elasticity E
Mpsi GPa
Modulus of
Rigidlity G
Mpsl
Paisson's
Unit Welght w
Materlal
GPa
Ratlo
bf/In Ibf/ft kN/m
Aluminum (all alkays)
Beryllium copper
104
71.7
3.9
26.9
0.333
0.098
169
26.6
180
124.0
7.0
48.3
0.285
0.297
513
80.6
Brass
15.4
106.0
5.82
40.1
0.324
0.309
534
83.8
Cartn steel
300
207.0
11.5
79.3
0.292
0.282
487
76.5
Cast imn (gray)
145
100.0
6.0
41.4
0.211
0.260
450
70.6
Copper
17.2
119.0
6.49
44.7
0.326
0.322
556
87.3
Douglas fir
1.6
11.0
0.6
4.1
0.33
0.016
28
4.3
Glass
67
46.2
2.7
18.6
0.245
0.094
162
25.4
Inconel
31.0
214.0
11.0
75.8
0.290
0.307
530
83.3
Lead
53
36.5
1.9
13.1
0.425
0.411
710
111.5
Magnesium
6.5
44.8
2.4
16.5
0.350
0.065
112
17.6
Molybdenum
480
331.0
17.0
117.0
0.307
0.368
636
100.0
Monel metal
26.0
179.0
9.5
65.5
0.320
0.319
551
86.6
Nickel silver
185
127.0
7.0
48.3
0.322
0.316
546
85.8
Nickel sieel
300
207.0
11.5
79.3
0.291
0.280
484
76.0
Phasphor beanne
Stainless steel (18-8)
16.1
111.0
6.0
41.4
0.349
0.295
510
80.1
27.6
190.0
10.6
T3.1
0.305
0.280
484
76.0
Titanium alkays
165
114.0
6.2
42.4
0.340
0.160
276
43.4
Transcribed Image Text:Table A-5 *onen prefemst. Physical Constants of Materials Modulus of Elasticity E Mpsi GPa Modulus of Rigidlity G Mpsl Paisson's Unit Welght w Materlal GPa Ratlo bf/In Ibf/ft kN/m Aluminum (all alkays) Beryllium copper 104 71.7 3.9 26.9 0.333 0.098 169 26.6 180 124.0 7.0 48.3 0.285 0.297 513 80.6 Brass 15.4 106.0 5.82 40.1 0.324 0.309 534 83.8 Cartn steel 300 207.0 11.5 79.3 0.292 0.282 487 76.5 Cast imn (gray) 145 100.0 6.0 41.4 0.211 0.260 450 70.6 Copper 17.2 119.0 6.49 44.7 0.326 0.322 556 87.3 Douglas fir 1.6 11.0 0.6 4.1 0.33 0.016 28 4.3 Glass 67 46.2 2.7 18.6 0.245 0.094 162 25.4 Inconel 31.0 214.0 11.0 75.8 0.290 0.307 530 83.3 Lead 53 36.5 1.9 13.1 0.425 0.411 710 111.5 Magnesium 6.5 44.8 2.4 16.5 0.350 0.065 112 17.6 Molybdenum 480 331.0 17.0 117.0 0.307 0.368 636 100.0 Monel metal 26.0 179.0 9.5 65.5 0.320 0.319 551 86.6 Nickel silver 185 127.0 7.0 48.3 0.322 0.316 546 85.8 Nickel sieel 300 207.0 11.5 79.3 0.291 0.280 484 76.0 Phasphor beanne Stainless steel (18-8) 16.1 111.0 6.0 41.4 0.349 0.295 510 80.1 27.6 190.0 10.6 T3.1 0.305 0.280 484 76.0 Titanium alkays 165 114.0 6.2 42.4 0.340 0.160 276 43.4
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