Annexure 8.6

InputsDesign Period 30 YearsCBR Value of subgrade 10 %Thickness of DLC 150 mmTrial Thickness h 32 cmPosson's Ratio of Concrete U 0.15Modulus of Elasticity of concrete 300000 kg/cm2

CalculationsModulus of subgrade reaction (kg/cm3)(from Table 2) 5.5 kg/cm3Effective k over 150 m DLC 41.7 kg/cm3Wheel Load

Single Axle 21 tonneTandem Axle 40 tonne

Radius of relative stiffness k 111.10 cm

GUIDELINES FOR THE DESIGN OF PLAIN JOINTED RIGID PAVEMENTS FOR HIGHWAYS

Annexure 8.6

Analysis of Axle Load Survey for Rigid Pavement Design

Single Axles

Number of AxlesTotal % TotalLGV 2-Axle 3-Axle Multiaxle Bus

0-2 7 0 1 0 0.5 8 0.35 8.00 0.352-4 79.5 35 9 4.5 5 133 5.87 141.00 6.224-6 49.5 140.5 29 11.5 12 242.5 10.70 383.50 16.926-8 61.5 590.5 40 13.5 16.5 721.5 31.84 1105.00 48.76

8-10 12 170.5 36 7.5 4 229.5 10.13 1334.50 58.8910-12 7.5 443 19 5 8 482.5 21.29 1817.00 80.1912-14 1 59.5 4 2.5 0 67 2.96 1884.00 83.1414-16 0 66.5 1 4.5 0 71.5 3.16 1955.50 86.3016-18 0 58.5 0 107.5 0 166 7.33 2121.50 93.6218-20 0 48.5 0 0.5 0 49 2.16 2170.50 95.7920-22 0 65 0 0 0 65 2.87 2235.50 98.6522-24 0 28 0 0 0 28 1.24 2263.50 99.8924-26 0 2.5 0 0 0 2.5 0.11 2266.00 100.0026-28 0 0.00 2266.00 100.0028-30 0 0.00 2266.00 100.0030-32 0 0.00 2266.00 100.0032-34 0 0.00 2266.00 100.0034-36 0 0.00 2266.00 100.0036-38 0 0.00 2266.00 100.0038-40 0 0.00 2266.00 100.00

Total 2266

Dual Axles

Number of Axles Total % Total3-Axle Multiaxle

0-2 0 0 0 0.00 0.00 0.002-4 4 1 5 1.78 5.00 1.784-6 4 1 5 1.78 10.00 3.566-8 8 3 11 3.91 21.00 7.47

8-10 7 4 11 3.91 32.00 11.3910-12 2 3 5 1.78 37.00 13.1712-14 4 3 7 2.49 44.00 15.6614-16 5 4 9 3.20 53.00 18.8616-18 110 7.5 117.5 41.81 170.50 60.6818-20 8 2 10 3.56 180.50 64.2320-22 10.5 0.5 11 3.91 191.50 68.1522-24 6.5 0 6.5 2.31 198.00 70.4624-26 15 1.5 16.5 5.87 214.50 76.3326-28 6.5 0.5 7 2.49 221.50 78.8328-30 8.5 1 9.5 3.38 231.00 82.2130-32 6.5 0 6.5 2.31 237.50 84.5232-34 5 0.5 5.5 1.96 243.00 86.4834-36 8 0 8 2.85 251.00 89.3236-38 11 0 11 3.91 262.00 93.2438-40 12 0 12 4.27 274.00 97.5142-44 5.5 0 5.5 1.96 279.50 99.4744-46 1 0 1 0.36 280.50 99.8246-48 0 0.5 0.5 0.18 281.00 100.0048-50 0 0 0.00 281.00 100.0050-52 0 0 0.00 281.00 100.0052-54 0 0 0.00 281.00 100.0054-56 0 0 0.00 281.00 100.0056-58 0 0 0.00 281.00 100.0058-60 0 0 0.00 281.00 100.00

Total 281

Axle Load (tonnes)

Cumulative Total

Cumulative Total %

Axle Load (tonnes)

Cumulative Total

Cumulative Total %

Annexure 8.6

Cumulative Frequency %

Single Axle

0-2 1 8 8 0.00022 0.0017868 0.35 0.352-4 3 133 399 0.01809 2.4061541 5.87 6.224-6 5 242.5 1212.5 0.13959 33.851549 10.70 16.926-8 7 721.5 5050.5 0.53626 386.91475 31.84 48.76

8-10 9 229.5 2065.5 1.46540 336.30979 10.13 58.8910-12 11 482.5 5307.5 3.27007 1577.8105 21.29 80.1912-14 13 67 871 6.37911 427.40047 2.96 83.1414-16 15 71.5 1072.5 11.30712 808.45875 3.16 86.3016-18 17 166 2822 18.65445 3096.6389 7.33 93.6218-20 19 49 931 29.10725 1426.2553 2.16 95.7920-22 21 65 1365 43.43741 2823.4319 2.87 98.6522-24 23 28 644 62.50261 1750.073 1.24 99.8924-26 25 2.5 62.5 87.24626 218.11565 0.11 100.0026-28 27 0 0 118.69757 0 0.00 100.0028-30 29 0 0 157.97151 0 0.00 100.0030-32 31 0 0 206.26881 0 0.00 100.0032-34 33 0 0 264.87596 0 0.00 100.00Total 2266 21811 12887.668

Dual Axle

0-2 1 0 0 0.00022 0 0.00 0.002-4 3 5 15 0.01809 0.0904569 1.78 1.784-6 5 5 25 0.13959 0.6979701 1.78 3.566-8 7 11 77 0.53626 5.8989081 3.91 7.47

8-10 9 11 99 1.46540 16.119424 3.91 11.3910-12 11 5 55 3.27007 16.350368 1.78 13.1712-14 13 7 91 6.37911 44.653781 2.49 15.6614-16 15 9 135 11.30712 101.76404 3.20 18.8616-18 17 117.5 1997.5 18.65445 2191.898 41.81 60.6818-20 19 10 190 29.10725 291.07251 3.56 64.2320-22 21 11 231 43.43741 477.81156 3.91 68.1522-24 23 6.5 149.5 62.50261 406.26694 2.31 70.4624-26 25 16.5 412.5 87.24626 1439.5633 5.87 76.3326-28 27 7 189 118.69757 830.88302 2.49 78.8328-30 29 9.5 275.5 157.97151 1500.7294 3.38 82.2130-32 31 6.5 201.5 206.26881 1340.7473 2.31 84.5232-34 33 5.5 181.5 264.87596 1456.8178 1.96 86.4834-36 35 8 280 335.16523 2681.3219 2.85 89.3236-38 37 11 407 418.59466 4604.5412 3.91 93.2438-40 39 12 468 516.70803 6200.4964 4.27 97.5142-44 41 5.5 225.5 631.13492 3471.2421 1.96 99.4744-46 43 1 43 763.59066 763.59066 0.36 99.8246-48 45 0.5 22.5 915.87634 457.93817 0.18 100.0048-50 47 0 0 1089.87883 0 0.00 100.0050-52 49 0 0 1287.57076 0 0.00 100.0052-54 51 0 0 1511.01053 0 0.00 100.0054-56 53 0 0 1762.34229 0 0.00 100.0056-58 55 0 0 2043.79599 0 0.00 100.0058-60 57 0 0 2357.68732 0 0.00 100.00

Axle load in tonnes

Average axleload (tonnes)

Total No.of Axles (N)

Average Axle load X N

Euivalency factor

Damage factor

% Frequency

Cumulative %

Frequency

Axle load in tonnes

Average axleload (tonnes)

Total No.of Axles (N)

Average Axle load X N

Euivalency factor

Damage factor

% Frequency

Cumulative %

Frequency

Annexure 8.6

Total 281 5771 28300.495

Annexure 8.6

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 330.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

45.00

50.00

55.00

60.00

65.00

70.00

75.00

80.00

85.00

90.00

95.00

100.00

Design Wheel Load - Single Axle

Average Wheel Load tonne

Cu

mu

lati

ve F

req

uen

cy

%

98th percentile

21 t

Annexure 8.6

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 570.005.00

10.0015.0020.0025.0030.0035.0040.0045.0050.0055.0060.0065.0070.0075.0080.0085.0090.0095.00

100.00

Design Wheel Load - Tandem Axle

Average Wheel Load, tonne

Cu

mu

lati

ve F

req

uen

cy %

40 t

Annexure 8.6

Check for Temerature StressesL 450 cmB 350 cmL/l 4.1 0.454

4 0.445 0.721 0.28

0.1 0.014078

Edge Warping Stress (C*E*ALPH*t)/2 14.30 kg/cm2

Heighst Axle Load Stress 15.00 kg/cm2

Total Temerature Warping Stress 29.30 kg/cm2Safe < 45 kg/cm2

Expected repetitions Check for fatigue life of pavementVehicle Type 2-Axle 3-Axle Multiaxle

29721187 6848943 959022

Vehicle Type

S.No.

Single Axle Total Repetitions Single Axle0-2 0.35 10492917 2417985 338578 13249480 12-4 5.87 174444742 40199003 5628857 220272601 24-6 10.70 318066541 73295174 10263141 401624855 36-8 31.84 946329935 218072032 30535489 1194937456 48-10 10.13 301015551 69365948 9712952 380094451 510-12 21.29 632854045 145834727 20420476 799109248 612-14 2.96 87878178 20250625 2835589 110964393 714-16 3.16 93780444 21610742 3026039 118417225 816-18 7.33 217728024 50173191 7025490 274926705 918-20 2.16 64269115 14810159 2073789 81153064 1020-22 2.87 85254949 19646129 2750945 107652023 1122-24 1.24 36725209 8462948 1185022 46373179 1224-26 0.11 3279037 755620 105806 4140462 1326-28 0.00 0 0 0 0 1428-30 0.00 0 0 0 0 1530-32 0.00 0 0 0 0 1632-34 0.00 0 0 0 0 1734-36 0.00 0 0 0 0 1836-38 0.00 0 0 0 0 19

Tandem Axles0-2 0.00 0 0 02-4 1.78 12186731 1706444 138931754-6 1.78 12186731 1706444 138931756-8 3.91 26810808 3754178 305649868-10 3.91 26810808 3754178 3056498610-12 1.78 12186731 1706444 1389317512-14 2.49 17061423 2389022 1945044614-16 3.20 21936116 3071600 2500771616-18 41.81 286388179 40101443 32648962218-20 3.56 24373462 3412889 2778635120-22 3.91 26810808 3754178 3056498622-24 2.31 15842750 2218378 1806112824-26 5.87 40216212 5631266 4584747926-28 2.49 17061423 2389022 1945044628-30 3.38 23154789 3242244 2639703330-32 2.31 15842750 2218378 1806112832-34 1.96 13405404 1877089 1528249334-36 2.85 19498770 2730311 2222908136-38 3.91 26810808 3754178 3056498638-40 4.27 29248154 4095466 3334362142-44 1.96 13405404 1877089 1528249344-46 0.36 2437346 341289 277863546-48 0.18 1218673 170644 138931848-50 0.00 0 0 050-52 0.00 0 0 0

52-54 0.00 0 0 054-56 0.00 0 0 056-58 0.00 0 0 058-60 0.00 0 0 0

Check for fatigue life of pavement

Percentage

Single Axle1 1 0.000 0.35 132494803 3 0.000 5.87 2202726015 5 7 0.156 10.70 4016248557 7 12 0.267 31.84 11949374569 9 13 0.289 10.13 380094451

11 11 17 0.378 21.29 79910924813 13 18 0.400 2.96 11096439315 15 21 0.467 3.16 118417225 1433500017 17 25 0.556 7.33 274926705 9410019 19 27 0.600 2.16 81153064 9410021 21 25 0.556 2.87 107652023 9410023 23 29 0.644 1.24 46373179 9410025 25 0.11 414046227 27 0.00 029 29 0.00 031 31 0.00 033 39.6 0.00 035 42 0.00 037 44.4 0.00 0

1 1.2 0 0.00 0.00 03 3.6 0 0.00 1.78 138931755 6 0 0.00 1.78 138931757 8.4 0 0.00 3.91 305649869 10.8 0 0.00 3.91 30564986

11 13.2 9 0.20 1.78 1389317513 15.6 10 0.22 2.49 1945044615 18 11 0.24 3.20 2500771617 20.4 12 0.27 41.81 32648962219 22.8 13 0.29 3.56 2778635121 25.2 14.5 0.32 3.91 3056498623 27.6 15 0.33 2.31 1806112825 30 17 0.38 5.87 4584747927 32.4 18 0.40 2.49 1945044629 34.8 19 0.42 3.38 2639703331 37.2 20 0.44 2.31 1806112833 39.6 21 0.47 1.96 15282493 520000035 42 22 0.49 2.85 22229081 128700037 44.4 24 0.53 3.91 30564986 22900039 46.8 0.00 4.27 33343621

Axleload(tonnes)

Axle load x Load safety

factor

Edge load stress kg/cm2

Stress ratio

Expected repetitions(n)=x percentage

Fatigue life orAllowable

repetitions(N)

The design is safe since the cumulative fatigue life consumed is less than 1.0

8.262921.64

862.411144.02

492.81

2.938917.2720

133.4716

Fatigue life consumed

(n/N)

5582.824946

Annexure 8.6

Check for Corner StressTyre Pressure 8 kg/cm298 percentile axle load 40 tWheel Load 20 tC/c distance between two tyres 31 cmRadius of area contact of wheela =(0.8521*P/(q*Pi)+S/Pi(P/0.5227*q)0.5)0.5

36.8779472888466 cm

Corner Stress 27.387997473277

The corner stress is less than the flexural strength of the concrete

It is safe

Annexure 8.7C

DESIGN TRAFFIC & MILLION STANDARD AXLEProject Road Khalghat to MP/MH Border (NH-3)Location Sendhawa (Km 153.0)Base Year 2005Directional Distribution (D) 0.5 The Cumulative number if standard axles in msa Lane Distribution 0.75

VDF Values (F) in each directionBus rLGV N*LD in each lane in each direction

2-Axle3-Axle

M-Axle

Base Traffic (Both Direction)

Vehicle TypeBus LGV 2-axle 3-axle M-axle137 143 3502 807 113

Design Life Vehicle Type Bus LGV 2-axle 3-axle M-axleDesign Period Base (2005) 137 143 3502 807 113

Construction Period

2006 147 153 3737 861 1212007 157 163 3987 919 1292008 168 174 4254 980 137

1 2009 180 185 4539 1046 1462 2010 192 198 4843 1116 1563 2011 205 210 5148 1186 1664 2012 219 223 5473 1261 1775 2013 234 238 5818 1341 1886 2014 250 253 6184 1425 2007 2015 267 268 6574 1515 2128 2016 284 283 6929 1597 2249 2017 301 298 7303 1683 236

10 2018 320 314 7697 1774 24811 2019 340 331 8113 1869 26212 2020 361 349 8551 1970 27613 2021 379 366 8970 2067 28914 2022 399 384 9409 2168 30415 2023 420 403 9870 2275 31816 2024 442 423 10354 2386 33417 2025 465 444 10861 2503 35018 2026 485 465 11383 2623 36719 2027 507 487 11929 2749 38520 2028 529 510 12502 2881 40321 2029 552 535 13102 3019 42322 2030 576 561 13731 3164 44323 2031 602 588 14390 3316 46424 2032 628 616 15080 3475 48725 2033 656 645 15804 3642 51026 2034 685 676 16563 3817 53427 2035 715 709 17358 4000 56028 2036 746 743 18191 4192 58729 2037 779 778 19064 4393 61530 2038 813 816 19979 4604 645

Cumulative Traffic 8 years 1831 1858 45507 10487 14689 years 2132 2156 52810 12170 170410 years 2452 2471 60507 13943 195215 years 4350 4305 105420 24293 340220 years 6777 6633 162449 37435 524225 years 9792 9578 234556 54051 756830 years 12884 12658 309986 71433 10002

Design Traffic (MSA) per lane in each direction Total8 years 0.00 0.00 0.00 0.00 0.00 0 msa9 years 0.00 0.00 0.00 0.00 0.00 0 msa10 years 0.00 0.00 0.00 0.00 0.00 0 msa15 years 0.00 0.00 0.00 0.00 0.00 0 msa20 years 0.00 0.00 0.00 0.00 0.00 0 msa

N = 365 * [(1+r) n-1] * A * D * F

Annexure 8.7C

25 years 0.00 0.00 0.00 0.00 0.00 0 msa30 years 0.00 0.00 0.00 0.00 0.00 0 msa