M4.18 (Sl units) A bridge to be fabricated of steel girders is designed to be 500 m long and 12 m wide at ambient temperature (assumed 20°C). Expansion joints will be provided to compensate for the change in length in the girders as the temperature varies. Each expansion joint can compensate for a maximum of 20 mm of change in length. From historical records it is estimated that the minimum and maximum temperatures in the region wll be-35°C and 40°C, respectively. Determine (a) the minimum number of expansion joints required. Use Table 4.1from the book for reference. Round to the nearest whole number of joints. Table 4.1 Volumetric properties in U.S. customary units for selected engineering materials Coclicient of Thermal Expansion, a Cx10F10 Melting Point, T Density, p g/em Material Metals Aluminum 2.70 (0.098) (13.3) 660 (1220) 24 Copper 8.97 (0.324) 17 1083 (1981) (94) Iron 7.87 (0.284) 12.1 (6.7) 1539 (2802) Lead 11.35 (0.410) 29 (621) (16.1) 327 Magnesium 1.74 (0.063) 26 (144) 650 (1202) Nickel 8.92 (0.322) 13.3 (7.4) (2651) 1455 Steel (0.284) 7.87 12 (6.7) a Tin 7.3 (0.264) 23 (12.7) 232 (449) Titanium 4.51 (0.163) 8.6 (4.7) 1668 (3034) Tungsten 19.30 (0.697) 4.0 (2.2) 3410 (6170) Zinc 7.15 (0.258) 40 (22.2) 420 (787) Ceramics and Silicon Glass 2.5 (0.090) 1.8-9.0 (1.0-5.0) Alumina 3.8 (0.137) 9.0 (5.0) 2072 (3762) Silica 2.66 (0.096) 0.55 (0.31) 1600 (2912) Silicon 2.33 (0.085) 2.6 (1.4) 1414 (2577) Polymers Phenol resins 1.3 (0.047) 60 (33) Nylon Polyethylene I.16 (0042) 100 (55) 260 (500) 0.92 (0.033) 180 (100) 115 (240) Polystyrene 1.05 (0.038) 70 (39) 240 (464) Polyvinylchloride 140 (0.051) 50 (28) 212 (414) Compiled from. 121.131. 141. 15). and other sources Melting tesmperature depends on composition Low-density polyethylene Chemically degrades at high temperanures because it is a thermosetting polymer, ocher polymers listed are thermoplastic
M4.18 (Sl units) A bridge to be fabricated of steel girders is designed to be 500 m long and 12 m wide at ambient temperature (assumed 20°C). Expansion joints will be provided to compensate for the change in length in the girders as the temperature varies. Each expansion joint can compensate for a maximum of 20 mm of change in length. From historical records it is estimated that the minimum and maximum temperatures in the region wll be-35°C and 40°C, respectively. Determine (a) the minimum number of expansion joints required. Use Table 4.1from the book for reference. Round to the nearest whole number of joints. Table 4.1 Volumetric properties in U.S. customary units for selected engineering materials Coclicient of Thermal Expansion, a Cx10F10 Melting Point, T Density, p g/em Material Metals Aluminum 2.70 (0.098) (13.3) 660 (1220) 24 Copper 8.97 (0.324) 17 1083 (1981) (94) Iron 7.87 (0.284) 12.1 (6.7) 1539 (2802) Lead 11.35 (0.410) 29 (621) (16.1) 327 Magnesium 1.74 (0.063) 26 (144) 650 (1202) Nickel 8.92 (0.322) 13.3 (7.4) (2651) 1455 Steel (0.284) 7.87 12 (6.7) a Tin 7.3 (0.264) 23 (12.7) 232 (449) Titanium 4.51 (0.163) 8.6 (4.7) 1668 (3034) Tungsten 19.30 (0.697) 4.0 (2.2) 3410 (6170) Zinc 7.15 (0.258) 40 (22.2) 420 (787) Ceramics and Silicon Glass 2.5 (0.090) 1.8-9.0 (1.0-5.0) Alumina 3.8 (0.137) 9.0 (5.0) 2072 (3762) Silica 2.66 (0.096) 0.55 (0.31) 1600 (2912) Silicon 2.33 (0.085) 2.6 (1.4) 1414 (2577) Polymers Phenol resins 1.3 (0.047) 60 (33) Nylon Polyethylene I.16 (0042) 100 (55) 260 (500) 0.92 (0.033) 180 (100) 115 (240) Polystyrene 1.05 (0.038) 70 (39) 240 (464) Polyvinylchloride 140 (0.051) 50 (28) 212 (414) Compiled from. 121.131. 141. 15). and other sources Melting tesmperature depends on composition Low-density polyethylene Chemically degrades at high temperanures because it is a thermosetting polymer, ocher polymers listed are thermoplastic
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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Transcribed Image Text:M4.18 (Sl units) A bridge to be fabricated of steel girders is designed to be 500 m long and 12 m wide
at ambient temperature (assumed 20°C). Expansion joints will be provided to compensate for the
change in length in the girders as the temperature varies. Each expansion joint can compensate for a
maximum of 20 mm of change in length. From historical records it is estimated that the minimum and
maximum temperatures in the region wll be-35°C and 40°C, respectively. Determine (a) the
minimum number of expansion joints required. Use Table 4.1from the book for reference. Round to
the nearest whole number of joints.
Transcribed Image Text:Table 4.1 Volumetric properties in U.S. customary units for selected engineering materials
Coclicient of Thermal
Expansion, a
Cx10F10
Melting Point, T
Density, p
g/em
Material
Metals
Aluminum
2.70
(0.098)
(13.3)
660
(1220)
24
Copper
8.97
(0.324)
17
1083
(1981)
(94)
Iron
7.87
(0.284)
12.1
(6.7)
1539
(2802)
Lead
11.35
(0.410)
29
(621)
(16.1)
327
Magnesium
1.74
(0.063)
26
(144)
650
(1202)
Nickel
8.92
(0.322)
13.3
(7.4)
(2651)
1455
Steel
(0.284)
7.87
12
(6.7)
a
Tin
7.3
(0.264)
23
(12.7)
232
(449)
Titanium
4.51
(0.163)
8.6
(4.7)
1668
(3034)
Tungsten
19.30
(0.697)
4.0
(2.2)
3410
(6170)
Zinc
7.15
(0.258)
40
(22.2)
420
(787)
Ceramics and Silicon
Glass
2.5
(0.090)
1.8-9.0
(1.0-5.0)
Alumina
3.8
(0.137)
9.0
(5.0)
2072
(3762)
Silica
2.66
(0.096)
0.55
(0.31)
1600
(2912)
Silicon
2.33
(0.085)
2.6
(1.4)
1414
(2577)
Polymers
Phenol resins
1.3
(0.047)
60
(33)
Nylon
Polyethylene
I.16
(0042)
100
(55)
260
(500)
0.92
(0.033)
180
(100)
115
(240)
Polystyrene
1.05
(0.038)
70
(39)
240
(464)
Polyvinylchloride
140
(0.051)
50
(28)
212
(414)
Compiled from. 121.131. 141. 15). and other sources
Melting tesmperature depends on composition
Low-density polyethylene
Chemically degrades at high temperanures because it is a thermosetting polymer, ocher polymers listed are thermoplastic
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