24. Refer to Table 12.6 and Figure 12.12 attached. What would be the fatigue damage according to the PCA  design method for 50,000 repetitions of a 26-kip single axle, a subgrade k=200 psi/in, a flexural  strength=600 psi, and a 6.5-inch thick concrete slab without concrete shoulders? Select the best answer. a. 0.0 b. 0.5 c. 0.75 d. 10.0

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter20: Design Of Rigid Pavements
Section: Chapter Questions
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24. Refer to Table 12.6 and Figure 12.12 attached. What would be the fatigue damage according to the PCA 
design method for 50,000 repetitions of a 26-kip single axle, a subgrade k=200 psi/in, a flexural 
strength=600 psi, and a 6.5-inch thick concrete slab without concrete shoulders? Select the best answer.
a. 0.0
b. 0.5
c. 0.75
d. 10.0

25. Refer to Table 12.8 and Figure 12.13 attached. What would be the erosion damage according to the PCA 
design method for the same conditions stated in Question 24 above? Select the best answer.
a. 0.0
b. 0.125
c. 0.835
d. 10.0

TABLE 12.8 Erosion Factors for Slabs with Doweled Joints and no Concrete Shoulders
k of Subgrade-subbase (pci)
Slab
thickness
(in.)
5
55
9
6.5
7
1.2
5
10
10.5
11
13.5
50
3.74/3.83
3.59/3.70
3.45/3.58
3.333.47
3.22/3.38
3.11/3.29
3.02/3.21
2.93/3.14
2.85/3.07
2.77/3.01
2.70/2.96
2.63/2.90
2.56/2.85
2.50/2.81
2.442.76
2.182.57
2.132.54
100
3.73/3.79
3.57/3.65
3.43/3.52
3.31/3.41
3.19/3.31
3.09/3.22
2.99/3.14
2.91/3.06
2.82/2.99
2.74/2.93
2.67/2.87
2.60/2.81
2.422.67
2.36/2.62
2.30/2.58
2.20/2.50
2.15/2.47
2.11/243
200
3.72/3.75
3.56/3.61
3.42/3.48
3.29/3.36
3.18/3.26
3.07/3.16
2.97/3.08
2.88/3.00
2.80/2.93
2.72/2.86
2.65/2.80
2.58/2.74
2.51/2.68
2.45/2.63
2.39/2.58
2.33/2.54
2.28/2.49
2.23/2.45
2.18/2.41
2.13/2.37
2.08/2.34
300
3.71/3.73
3.55/3.58
3.41/3.45
3.28/3.33
3.17/3.23
3.06/3.13
2.96/3.05
2.87/2.97
2.79/2.89
2.71/2.82
263/2,76
2.56/2.70
2.50/2.64
2.44/2.59
2.38/2.54
2.32/2.49
2.26/2.44
2.21/2.40
2.16/2.36
2.11/2.32
207/2.29
3.70/3.70
3.54/3.55
3.40/3.42
3.27/3.30
3.15/3.20
3.0573.10
2.95/3.01
2.86/2.93
2.77/2.85
2.69/2.78
2.62/2.71
2.36/2.49
2.25/2.39
2.19/2.35
2.14/2.30
2.09/2.26
2.05/2.23
in. ≈ 25 2 mm. 1 pá – 271.3 kN/m²³,
Now Number at left is for sine axie and number at right is for tandem axle (single/tandem).
Source After PCA (1984).
#
N
NINY UVOTTINTIONIS
P
2
10
2
2
SIIN GYOTTINN KJŪNVI
HODVINO SOMA
LLLLLL
14
__IT=
1.8
u
ILLI
2
S
4
IN
9
100.000,000
110,000,000
1.000.000
195
****
⠀⠀
H
THE
10000
1000
FIGURE 12.13
LADer PCA (1SILY
Erosion factors versus allowable load repetitions without concrete shoulders (1 kip – 4.45 KN).
AHWABU. LOAD RIPETITIONS
Transcribed Image Text:TABLE 12.8 Erosion Factors for Slabs with Doweled Joints and no Concrete Shoulders k of Subgrade-subbase (pci) Slab thickness (in.) 5 55 9 6.5 7 1.2 5 10 10.5 11 13.5 50 3.74/3.83 3.59/3.70 3.45/3.58 3.333.47 3.22/3.38 3.11/3.29 3.02/3.21 2.93/3.14 2.85/3.07 2.77/3.01 2.70/2.96 2.63/2.90 2.56/2.85 2.50/2.81 2.442.76 2.182.57 2.132.54 100 3.73/3.79 3.57/3.65 3.43/3.52 3.31/3.41 3.19/3.31 3.09/3.22 2.99/3.14 2.91/3.06 2.82/2.99 2.74/2.93 2.67/2.87 2.60/2.81 2.422.67 2.36/2.62 2.30/2.58 2.20/2.50 2.15/2.47 2.11/243 200 3.72/3.75 3.56/3.61 3.42/3.48 3.29/3.36 3.18/3.26 3.07/3.16 2.97/3.08 2.88/3.00 2.80/2.93 2.72/2.86 2.65/2.80 2.58/2.74 2.51/2.68 2.45/2.63 2.39/2.58 2.33/2.54 2.28/2.49 2.23/2.45 2.18/2.41 2.13/2.37 2.08/2.34 300 3.71/3.73 3.55/3.58 3.41/3.45 3.28/3.33 3.17/3.23 3.06/3.13 2.96/3.05 2.87/2.97 2.79/2.89 2.71/2.82 263/2,76 2.56/2.70 2.50/2.64 2.44/2.59 2.38/2.54 2.32/2.49 2.26/2.44 2.21/2.40 2.16/2.36 2.11/2.32 207/2.29 3.70/3.70 3.54/3.55 3.40/3.42 3.27/3.30 3.15/3.20 3.0573.10 2.95/3.01 2.86/2.93 2.77/2.85 2.69/2.78 2.62/2.71 2.36/2.49 2.25/2.39 2.19/2.35 2.14/2.30 2.09/2.26 2.05/2.23 in. ≈ 25 2 mm. 1 pá – 271.3 kN/m²³, Now Number at left is for sine axie and number at right is for tandem axle (single/tandem). Source After PCA (1984). # N NINY UVOTTINTIONIS P 2 10 2 2 SIIN GYOTTINN KJŪNVI HODVINO SOMA LLLLLL 14 __IT= 1.8 u ILLI 2 S 4 IN 9 100.000,000 110,000,000 1.000.000 195 **** ⠀⠀ H THE 10000 1000 FIGURE 12.13 LADer PCA (1SILY Erosion factors versus allowable load repetitions without concrete shoulders (1 kip – 4.45 KN). AHWABU. LOAD RIPETITIONS
R
PCA Highway Design Approach-Fatigue Analysis
TABLE 12.6 Equivalent Stresses for Slabs Without Concrete Shoulders
k of Suhgrade-suhbnsc (pci)
Slab
thickness
75 -1.
5.5
8.5
9
9.5
10
10.5
50
825/679
985/669
602/516
526461
465/416
417/380
375/349
340/323
311/300
285/281
264/264
245/248
228/235
213/222
200/211
188/201
168/183
159/176
100
726/585
616/500
531 436
464/387
411348
367/317
331220
300/2.68
274/249
252/232
215/205
200/193
187-183
165/165
155/158
147/151
150
671/542
571/460
1911399
131653
382/316
300/202
216195
2018
13655
200
634/516
5407435
92E/191
109331
186502
300
379505
139144
132/136
17123
125/133
116-118
Note. Number at left is for single axle and number at right is for tandemn axle (singlexandem). 1 in.
Source. After PCA (1984).
107002
SINGLE AXLE LOAD, KIPS
60
F
48
51
2
S
A
20
12
In
7
15
Sm
120
3
S
TANDEM AXLE LOAD KITS
STRESS RATIO FACTOR
0.20
0.15
10,000,000
NAO
1,000,000
4
100,000
60
2
11
10,000
1947
N
1000
26
12
N
100
ALLOWABLE LOAD REPETITIONS
FIGURE 12.12
(1 kip = 4.45 KN). (After PCA (1984).)
Stress ratio factors versus allowable load repetitions both with and without concrete shoulders
8
Transcribed Image Text:R PCA Highway Design Approach-Fatigue Analysis TABLE 12.6 Equivalent Stresses for Slabs Without Concrete Shoulders k of Suhgrade-suhbnsc (pci) Slab thickness 75 -1. 5.5 8.5 9 9.5 10 10.5 50 825/679 985/669 602/516 526461 465/416 417/380 375/349 340/323 311/300 285/281 264/264 245/248 228/235 213/222 200/211 188/201 168/183 159/176 100 726/585 616/500 531 436 464/387 411348 367/317 331220 300/2.68 274/249 252/232 215/205 200/193 187-183 165/165 155/158 147/151 150 671/542 571/460 1911399 131653 382/316 300/202 216195 2018 13655 200 634/516 5407435 92E/191 109331 186502 300 379505 139144 132/136 17123 125/133 116-118 Note. Number at left is for single axle and number at right is for tandemn axle (singlexandem). 1 in. Source. After PCA (1984). 107002 SINGLE AXLE LOAD, KIPS 60 F 48 51 2 S A 20 12 In 7 15 Sm 120 3 S TANDEM AXLE LOAD KITS STRESS RATIO FACTOR 0.20 0.15 10,000,000 NAO 1,000,000 4 100,000 60 2 11 10,000 1947 N 1000 26 12 N 100 ALLOWABLE LOAD REPETITIONS FIGURE 12.12 (1 kip = 4.45 KN). (After PCA (1984).) Stress ratio factors versus allowable load repetitions both with and without concrete shoulders 8
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ISBN:
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Author:
Garber, Nicholas J.
Publisher:
Cengage Learning