IRC-58 2015 Excel Sheet

IRC:58-2015 Guidelines for Design ofPlain Jointed Rigid Pavements for Highways Example of Design of Slab Thickness for Pavement (with and without doweled transverse joints. Beta value will be 0.66 for doweled joint and 0.90 for without dowels case) Type of pavement considered Carriageway Pavement Structural Details 4-lane divided Modulus of subgrade reaction of subgrade, MPa/m 50.3 Thickness of Granular Subbase, mm 150 Shoulders :- Tied concrete shoulders ? (yes/no) yes Thickness of Dry Lean Concrete subbase, mm 150 Transverse joint spacing (m) 4.5 Effective modulus of subgrade reaction of foundation, MPa/m 285 Lane width (m) Transverse Joints have dowel bars? (yes/no) 3.5 yes Unit weight of Concrete, kN/m 28-day Flexural strength of cement concrete, MPa Design Traffic Estimation Design Period (years) Total Two-way Commercial Traffic (cvpd) in the year of completion of construction Av. Annual rate of growth of commercial traffic (expressed as decimal) Cumulative No of Commercial vehicles during design period (two-way), A Average No of axles per commercial vehicle, B Cumulative No of Commercial Axles during design period (two-way), C = A*B Proportion of traffic in predominant direction (For 2-lane 2-way highways use a value of 1.0), D Lateral Placement factor (0.25 for 2-lane 2-way. For multilane highways the value is 0.25 X C), E 30 6000 0.075 226444692 2.35 532145025 0.50 0.125 24 4.5 3 Max. day-time Temperature Differential in slab, 0C (for bottom-up cracking) 16.8 Night-time Temperature Differential in slab, 0C (for topdown cracking) = day-time diff/2 + 5 13.4 Trial Thickness of Concrete Slab, m 0.28 Load Transfer Efficiency Factor for TDC analysis, Beta = 0.66 for dowel Joints, 0.90 for joints without dowels Elastic Modulus of Concrete, Ec (MPa) 0.66 30000 Poisson's Ratio of Concrete, Mu Radius of relative stiffness, m 0.15 0.66621 Design Axle Load Repetitions for Fatigue Analysis For Bottom-up Cracking Analysis Factor for selection of traffic for BUC analysis (for sixhour period during day), F 0.2 Front single (steering) Axles = H * K1 5986632 Factor for selection of traffic for TDC analysis (for sixhour period during day), G 0.3 Rear single Axles = H * K2 1995544 Tandem Axles = H * K3 3325906 Tridem Axles = H * K4 1995544 Design axle repetitions for BUC analysis (for 6 hour day time traffic), H = B*E*F Proportion of vehicles with spacing between front and the first rear axle less than the spacing of transverse joints, I Design axle repetitions for TDC analysis (for 6-hour night time traffic), J = B*E*G*I 13303626 0.55 10975491 For Top-Down Cracking Analysis Proportion of Front single (steering) Axles, K1 0.450 Front single (steering) Axles = J * K1 4938971 Proportion of Rear single Axles,K2 0.150 Rear single Axles = J * K2 1646324 Proportion of tandem Axles, K3 Proportion of Tridem Axles, K4 = (1-K1-K2-K3) 0.250 0.150 Tandem Axles = J * K3 Tridem Axles = J * K4 2743873 1646324 000 41906 1.9 230-260 245 3.15 Depth to Neutral axis.400 175-185 165-175 180 17.424 infinite 0.240 230 6.018 0.340 330 150 2.616 482256 2.23 < 230 215 17.375 infinite 0.58 282369 1.0448 0.259 349220 2. 1 Slab Thickness (m) = 0.1 64855 1.295 infinite 0.413 infinite 0.5 530-560 360 . h1 0.62 115-125 120 105-115 95-105 Rear Single Axles Rear Tandem Axles Frequency (%) Expected Repetitions (ni) Flex Stress MPa Stress Ratio (SR) Allowable Repetitions (Ni) Fatigue Damage (ni/Ni) Expected Repetitions (ni) Flex Stress MPa Stress Ratio (SR) Allowable Repetitions (Ni) Fatigue Damage (ni/Ni) 545 5.260 250 5.976 + 0.976 Sum of CFD for BUC & TDC= 1.359 infinite 0.000 172615 1.65 220 .000 260 . 0.506 588331 0.179 0.65 240 .26 380-410 395 12.422 0.000 470-500 485 3.391 infinite 0.98 320 .6808 0.384 infinite 0.25 200 .3895 0.354 infinite 0.000 < 85 80 14.3 290-320 305 4.326 infinite 0. Axles = 0.360 350 3.000 100 1995544 Fat Dam from Sing.342 infinite 0.260 0.775 0.9 350-380 365 15.000 89467 1.15 < 180 170 34.000 1138458 1.369 infinite 0.15 380 .15 Flex Stiffness of DLC Granular Subabse Thickness (mm) = 250 Provide DLC thickness (m).976 3325906 Fat Dam from Tand Axles = 0. m (See 30000 Flex Stiffness of design Slab 13600 Flex Stiffness of Partial Slab Pr 0.000 2.0 MPa/m and for Doweled Joint and Tied Concrete Shoulders.000 = 0.000 310 2.000 500-530 515 4.695 0.000 85-95 90 3.473 4072762 0.012 83148 1.000 129710 1.457 22079767 0.23 362191 2.325 infinite 0.0 Elastic Modulus of Pavement Concrete (MPa).280 270 3.4623 0.19 320-350 335 13.55 52882 1.8992 0.730 Design for Bonded Pavement Option Subgrade CBR (%)= 8 Trial Slab thickness (m) over DLC.000 100 3.281 infinite 0.937 0.62 125-135 130 2.266 infinite 0.090 120730 1.000 100 100 Total Bottom-up Fatigue Damage due to single and tandem axle loads = Front Single Axles and Rear Tridem axles not considered for bottom-up analysis 0.28 52882 1. E1 Elastic Modulus of DLC (MPa).398 infinite 0.503 0.44 364586 2.408 infinite 0.856 0.608 0.000 280 .972 0.200 190 8.440 infinite 0.300 290 1. h2 Effective k-value from Tables 2 and 3 (MPa/m) = For k of 72.341 0.000 296006 1.85 347823 2.25 180 .11 59467 2. 72.220 210 6.43 170 18.380 370 10.428 infinite 0.000 209532 1.340 infinite 0.69 410-440 425 10.57 52283 2.235 Poisson's Ratio of DLC.000 2.310 infinite 0.12 259022 2.8264 0.000 212858 1.Fatigue Axle Load Spectrum Data Rear Single Axle Rear Tandem Axle Load Group (kN) Mid-Point of Load Group (kN) Load Group (kN) Mid-Point of Load Group (kN) Frequency (%) 185-195 190 18.000 110 2.320 135-145 140 1.5352 0.489 1344185 0.7536 0.5 340 .01 32328 2. E2 Poisson's Ratio of Paving Concrete.98 300 .3167 0.27 155-165 160 145-155 Bottom-up Cracking Fatigue Analysis for Day-time (6 hour) traffic and Positive Temperature Differential Rear Tridem Axle Frequency (%) Load Group (kN) Mid-Point of Load Group (kN) 390 14.614 0.4 260-290 275 3.63 12.1177 0.16 64855 1.5 440-470 455 7.3 .099 0. 2 0.000 939228 0.000 197723 2.37136 0.475 286954 2.000 0.000 0.074 288107 2.177 0.274 + 0.419 infinite 0.93 69.8534 0.955 0.417 infinite 0.000 218632 1.87189 0.000 26670 2.233 0.395 infinite 0.000 175608 1.26037 0.000 34573 2.16 69.000 0.288 0.7979 0.412 43628 1.453 38025932 0.8164 0.027 99603 2.000 289424 1.026 0.65 which is more than the Flexural Stiffness of the Design Slab = + 23.373 infinite 0.389 infinite 0.274 2743873 1646324 Fat Dam from Sing.000 166443 2.036 Fat Dam from Tand Axles = Total Top-Down Fatigue Damage = 0.92739 53506 1.000 244205 232955 1.378 infinite 0.066 0.122 0.3529 0.000 172864 1.03838 0.429 infinite 0.42686 0.479 2564487 0.473 3899961 0.755 .15 Slab thickness (h1) over DLC layer may be obtained by iteratively changing h1 and matching the design stiffness with the combined stiffness provided 0.408 infinite 0.352 infinite 0. Axles = Ratio of DLC.1864 0.9644 0.401 infinite 0. m (See Fig.31586 0.000 256333 2.000 infinite 0.464 9089367 0.000 0.003 117218 49060 2.2419 213693 2.423 infinite 43628 2.000 1.000 0.000 107011 2.05 46.445 infinite 0.016 56634 2.001 2.6) ess of design Slab ess of Partial Slab Provided ess of DLC Expected Repetitions (ni) computed for 33% of axle load) Flex Allowable Stress Ratio Stress Repetitions (SR) MPa (Ni) Expected Repetitions (ni) 3370878 0.367 infinite 0.112 79847 2.169 397862 2.900 0.1309 0.0754 0.451 52048021 0.05 Hence.406 infinite 0. eutral axis.7424 0.000 52024 1.445 + 0.28 Fatigue Damage (ni/Ni) Total Flexural Stiffness Provided = 46.844 0.434 infinite 43134 2.009 0.399 0.011 0.440 infinite 0.789 0.036 = DESIGN IS UNSAFE SINCE SUM OF CFD FOR BUC AND TDC>1 0.445 1646324 Fat Dam from Tridem Axles = 0.14938 0.457 21946523 0.462 11091781 0. Provide a Slab of thickness (m) 0.442 infinite 0.20487 0.9089 0.468 6308978 0.000 1.000 142407 2.98289 53506 1.28 = 69.374 infinite 0.0199 0.485 1768731 0.000 73810 2.235 over DLC of thickness (m) 0.000 74908 1.344 0.65 23.361 infinite 0.386 infinite 0.000 51036 1.397 infinite 0.430 infinite 0.004 68597 2.09388 0.363 infinite 0.490 1267085 0.314 86103 2.Fatigue Damage Analysis Top-Down Cracking Fatigue Analysis for Night-time (6 hour) traffic and Negative Temperature Differential Rear Tandem Axles Rear Single Axles Rear Tridem Axles (Stess computed for 50% of axle load) Flex Stress Allowable Fatigue Stress Ratio Repetitions Damage MPa (SR) (Ni) (ni/Ni) (Stress Flex Stress MPa Stress Ratio (SR) Allowable Repetitions (Ni) Fatigue Damage (ni/Ni) Expected Repetitions (ni) 298808 2.2974 300783 2.384 infinite 0.