interior column loads are 500 tons and pile groups are not to exceed eight, determine the cross- sectional dimensions and length of piles required to support the interior column loads using a factor of safety of 3. Assume the piles have a center-to-center spacing such that the group efficiency is 1.0. (i.e. disregard whether or not the pile group acts as a block). NO cross-sectional dimension should exceed 24 inches.

Structural Analysis
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ISBN:9781337630931
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Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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(note: Table 12.3 should help finiding the area...etc)

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1. A twelve-story condominium is planned for construction on the Gulf Coast. The foundation for
the building is to be friction piles (no end bearing). A prestressed concrete fabrication facility is
within 30 miles of the project (i.e. use square prestressed concrete piles). If the bottom floor
interior column loads are 500 tons and pile groups are not to exceed eight, determine the cross-
sectional dimensions and length of piles required to support the interior column loads using a factor
of safety of 3. Assume the piles have a center-to-center spacing such that the group efficiency is
1.0. (i.e. disregard whether or not the pile group acts as a block). NO cross-sectional dimension
should exceed 24 inches.
The piles are fully embedded in sand for which y = 118 lb/ft°, ø'= 32° and &' = 0.75ø'
You need to fill in your answers in the table below. Include applicable units. Do not work the
problem on this page.
Type of pile to be used (i.e. material)
Allowable load for pile group based on problem statement
Number of piles you have selected to be used for each interior column
Allowable load for individual pile based on the number of piles selected
Cross-section dimension of each pile in the group – DO NOT EXCEED
24 INCHES. (all pile should have the same dimensions)
Length of an individual pile (all pile should have the same length)
Ultimate load required for individual pile (Factor of Safety applied to
allowable load indicated in problem statement)
Calculated ultimate load for individual pile based on the design
dimensions selected
Calculated allowable load for individual pile based on the design
dimensions selected
Total length of pile needed to support calculated allowable load
Total allowable load for pile group
Transcribed Image Text:1. A twelve-story condominium is planned for construction on the Gulf Coast. The foundation for the building is to be friction piles (no end bearing). A prestressed concrete fabrication facility is within 30 miles of the project (i.e. use square prestressed concrete piles). If the bottom floor interior column loads are 500 tons and pile groups are not to exceed eight, determine the cross- sectional dimensions and length of piles required to support the interior column loads using a factor of safety of 3. Assume the piles have a center-to-center spacing such that the group efficiency is 1.0. (i.e. disregard whether or not the pile group acts as a block). NO cross-sectional dimension should exceed 24 inches. The piles are fully embedded in sand for which y = 118 lb/ft°, ø'= 32° and &' = 0.75ø' You need to fill in your answers in the table below. Include applicable units. Do not work the problem on this page. Type of pile to be used (i.e. material) Allowable load for pile group based on problem statement Number of piles you have selected to be used for each interior column Allowable load for individual pile based on the number of piles selected Cross-section dimension of each pile in the group – DO NOT EXCEED 24 INCHES. (all pile should have the same dimensions) Length of an individual pile (all pile should have the same length) Ultimate load required for individual pile (Factor of Safety applied to allowable load indicated in problem statement) Calculated ultimate load for individual pile based on the design dimensions selected Calculated allowable load for individual pile based on the design dimensions selected Total length of pile needed to support calculated allowable load Total allowable load for pile group
TABLE 12.3b Typical Prestressed Concrete Pile in Use (English Units)
Design bearing
capacity (kip)
Minimum
Strength of
Number of strands
Area of cross
effective
Section
concrete
|in.
diameter
Te in.
diameter
prestress force
(kip)
Pile
D
section
Perimeter
modulus
shape"
(in.)
(in²)
(in.)
(in')
5000 psi 6000 psi
10
100
40
4
4
70
167
125
175
10
83
33
4
4
58
109
104
125
12
144
48
5
6.
101
288
180
216
12
119
40
4
5
83
189
149
178
14
196
56
6.
137
457
245
295
14
162
46
5
7
113
300
203
243
16
256
64
11
179
683
320
385
16
212
53
7
9.
148
448
265
318
S
18
324
72
10
13
227
972
405
486
18
268
60
8
11
188
638
336
402
S
20
400
80
12
16
280
1333
500
600
20
331
66
10
14
234
876
414
503
22
484
88
15
20
339
1775
605
727
22
401
73
12
16
281
1166
502
602
24
576
96
18
23
403
2304
710
851
24
477
80
15
19
334
2123
596
716
= square section; 0 =
octagonal section
Transcribed Image Text:TABLE 12.3b Typical Prestressed Concrete Pile in Use (English Units) Design bearing capacity (kip) Minimum Strength of Number of strands Area of cross effective Section concrete |in. diameter Te in. diameter prestress force (kip) Pile D section Perimeter modulus shape" (in.) (in²) (in.) (in') 5000 psi 6000 psi 10 100 40 4 4 70 167 125 175 10 83 33 4 4 58 109 104 125 12 144 48 5 6. 101 288 180 216 12 119 40 4 5 83 189 149 178 14 196 56 6. 137 457 245 295 14 162 46 5 7 113 300 203 243 16 256 64 11 179 683 320 385 16 212 53 7 9. 148 448 265 318 S 18 324 72 10 13 227 972 405 486 18 268 60 8 11 188 638 336 402 S 20 400 80 12 16 280 1333 500 600 20 331 66 10 14 234 876 414 503 22 484 88 15 20 339 1775 605 727 22 401 73 12 16 281 1166 502 602 24 576 96 18 23 403 2304 710 851 24 477 80 15 19 334 2123 596 716 = square section; 0 = octagonal section
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