A metal alloy has been tested in a tensile test with the following results for the flow parameters: strength coefficient 620.5 MPa and strain-hardening exponent 0.26 same metal is now tested in a compression test in which the starting height of the spe = 62.5 mm and its diameter = 25 mm. Assuming that the cross section increases unifc determine the load required to compress the specimen to a height of (a) 50 mm and (b mm. The starting length of a shaft is 25.00 mm. This shaft is to be inserted into a hole expansion fit assembly operation. To be readily inserted, the shaft must be reduced in by cooling. Determine the temperature to which the shaft must be reduced from temperature (20° C) in order to reduce its length to 24.98 mm. Refer to the Table belov

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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2. A metal alloy has been tested in a tensile test with the following results for the flow curve
parameters: strength coefficient = 620.5 MPa and strain-hardening exponent 0.26. The
same metal is now tested in a compression test in which the starting height of the specimen
= 62.5 mm and its diameter = 25 mm. Assuming that the cross section increases uniformly,
determine the load required to compress the specimen to a height of (a) 50 mm and (b) 37.5
mm.
3. The starting length of a shaft is 25.00 mm. This shaft is to be inserted into a hole in an
expansion fit assembly operation. To be readily inserted, the shaft must be reduced in length
by cooling. Determine the temperature to which the shaft must be reduced from room
temperature (20° C) in order to reduce its length to 24.98 mm. Refer to the Table below.
Volumetric properties in U.S. customary units for selected engineering materials.
Coefficient of Thermal
Expansion, a
Density, p
Ib/in
Melting Point, T
Material
g/cm
C'x 10
F'x 10 6
°C
°F
Metals
Aluminum
Copper
Iron
Lead
0.098
0.324
0.284
1220
1981
2802
2.70
24
13.3
660
1083
1539
8.97
17
9.4
7.87
12.1
6.7
11.35
0.410
29
16.1
327
621
Magnesium
Nickel
1.74
8.92
0,063
0.322
26
13.3
14.4
7.4
650
1455
1202
2651
Steel
Tin
7.87
7.31
19.30
0.284
12
6.7
0.264
0.697
23
12.7
232
449
Tungsten
Zinc
4.0
2.2
3410
6170
7.15
0.258
40
22.2
420
787
Ceramics
Glass
2.5
0.090
1.8-9.0
1.0-5.0
0.137
0,096
9.0
5.0
Alumina
Silica
3.8
NA
NA
2.66
NA
NA
Polymers
Phenol resins
1.3
0.047
60
33
Nylon
Teflon
Natural rubber
Polyethylene (low density)
Polystyrene
1.16
0.042
100
55
0.079
0.043
55
2.2
1.2
100
80
45
0.033
0.038
180
100
0.92
1.05
60
33
4. Two flat plates, separated by a space of 4 mm, are moving relative to each other at a velocity
of 5 m/sec. The space between them is occupied by a fluid of unknown viscosity. The motion
of the plates is resisted by a shear stress of 10 Pa because of the viscosity of the fluid.
Assuming that the velocity gradient of the fluid is constant, determine the coefficient of
viscosity of the fluid.
Transcribed Image Text:2. A metal alloy has been tested in a tensile test with the following results for the flow curve parameters: strength coefficient = 620.5 MPa and strain-hardening exponent 0.26. The same metal is now tested in a compression test in which the starting height of the specimen = 62.5 mm and its diameter = 25 mm. Assuming that the cross section increases uniformly, determine the load required to compress the specimen to a height of (a) 50 mm and (b) 37.5 mm. 3. The starting length of a shaft is 25.00 mm. This shaft is to be inserted into a hole in an expansion fit assembly operation. To be readily inserted, the shaft must be reduced in length by cooling. Determine the temperature to which the shaft must be reduced from room temperature (20° C) in order to reduce its length to 24.98 mm. Refer to the Table below. Volumetric properties in U.S. customary units for selected engineering materials. Coefficient of Thermal Expansion, a Density, p Ib/in Melting Point, T Material g/cm C'x 10 F'x 10 6 °C °F Metals Aluminum Copper Iron Lead 0.098 0.324 0.284 1220 1981 2802 2.70 24 13.3 660 1083 1539 8.97 17 9.4 7.87 12.1 6.7 11.35 0.410 29 16.1 327 621 Magnesium Nickel 1.74 8.92 0,063 0.322 26 13.3 14.4 7.4 650 1455 1202 2651 Steel Tin 7.87 7.31 19.30 0.284 12 6.7 0.264 0.697 23 12.7 232 449 Tungsten Zinc 4.0 2.2 3410 6170 7.15 0.258 40 22.2 420 787 Ceramics Glass 2.5 0.090 1.8-9.0 1.0-5.0 0.137 0,096 9.0 5.0 Alumina Silica 3.8 NA NA 2.66 NA NA Polymers Phenol resins 1.3 0.047 60 33 Nylon Teflon Natural rubber Polyethylene (low density) Polystyrene 1.16 0.042 100 55 0.079 0.043 55 2.2 1.2 100 80 45 0.033 0.038 180 100 0.92 1.05 60 33 4. Two flat plates, separated by a space of 4 mm, are moving relative to each other at a velocity of 5 m/sec. The space between them is occupied by a fluid of unknown viscosity. The motion of the plates is resisted by a shear stress of 10 Pa because of the viscosity of the fluid. Assuming that the velocity gradient of the fluid is constant, determine the coefficient of viscosity of the fluid.
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