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RC_Slab_Load_Rating

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					   Bridge No:     MUS-093-2880                                      Project No:
         SFN:     60004296                                            Sheet No:                               Of                   2
    Year Built:   1985                                           Load Rated By:           CW                 Date:             12/5/2008
  Bridge Type:    Simple Span Reinforced Concrete                     Chk'd By:                              Date:
                  Slab

                                                                                    Member Information Input:
                                                                                    Span C/C (ft)                                          14.0
                             0.85 fc'                                               Slab width b (in)                                      12.0
                                                                                    Slab Depth h (in)                                      10.5
                                                                                    Tension Bar size @ Bottom                                6
                         a
      c                                 Cc                                          Bottom Bars Spacing (in)                               5.50
                                             d                               h      Concrete fc' (ksi)                                      3.0
                                                                                    Rebar fy (ksi)                                          33
                     T                                      As
                                                                                    d (in)                                                 9.125
                                                                                    W DL other than Beam self-weight (k/ft2)               0.080
                                                             b



                         E = (4+0.06S) #         7.0 ft =           4.84
          Live Load Distribution Factor DF = 1/E =                 0.207            (AASHTO 3.24.3.2 Case B )


Section Capacity Calculations:
                                         φ (flexure) = 0.9
                                                                           f c '4000
                                                    1  0.85  0.05(                 )  0.65            0.850
                                                                              1000

                             Bottom steel area As = 0.96                            in2/ft
                                                               As fy
                                                     a=                                 1.04         in
                                                            0 . 85 fc ' b
                                                                       a
                                                  M n  [ As f y (d  )]              20.5         k-ft
                                                                       2


Calculate Dead Loads:
                                M Beam Self-weight = WBeam Self-weight L² /8 =           3.22         k-ft
                             M DL-other = WDL other than Beam self-weight L² /8 =        1.96         k-ft
                                  M DL total = MBeam self-weight + MDL-other =           5.18         k-ft


Calculate Live Loads:
                                 LL Impact Factor =        0.3
                                       MLL (k-ft) = Live Load Moment per Lane per Axle × ½ * × LLDF
                                                        ½* factor gets moments in terms of wheels from Axle
                                         MLL+I (k-ft) = MLL × (1 + LL Impact Factor)




 (revised on 3/2/2009 by ODOT)                                   Page 1 of 12
   Bridge No:     MUS-093-2880                                 Project No:
         SFN:     60004296                                       Sheet No:                         Of            2
    Year Built:   1985                                      Load Rated By:         CW             Date:      12/5/2008
  Bridge Type:    Simple Span Reinforced Concrete                Chk'd By:                        Date:
                  Slab

                               Live Load Moment per Lane per Axle (k-ft) =        112.00
                                                             MLL (k-ft) =          11.57         HS20
                                                            MLL+I (k-ft) =         15.04
                               Live Load Moment per Lane per Axle (k-ft) =        70.00
                                                             MLL (k-ft) =          7.23           2F1
                                                            MLL+I (k-ft) =         9.40
                               Live Load Moment per Lane per Axle (k-ft) =        85.00
                                                             MLL (k-ft) =          8.78           3F1
                                                            MLL+I (k-ft) =        11.42
                               Live Load Moment per Lane per Axle (k-ft) =        91.00
                                                             MLL (k-ft) =          9.40           4F1
                                                            MLL+I (k-ft) =        12.22
                               Live Load Moment per Lane per Axle (k-ft) =        85.00
                                                             MLL (k-ft) =          8.78           5C1
                                                            MLL+I (k-ft) =        11.42

Load Rating Factor based on Moment Capacity:
                  Inventory:
                                                Flexural    Strength      M n         3 
                                                                                M DL  
                                   RFMOM      
                                                             1 .3                       5 
                                                                  M LL  I

                  Operating:
                                                Flexural    Strength      M n             
                                                                                 M   DL   
                                                                                          
                                                             1 .3
                                    RF MOM
                                                                M LL  I


                                              Load Rating Summary:
                                   Load                        GVW           Rating Factor      Safe Load   HS Rating
  Inventory                       HS20                        36 Tons         RF=0.42           15.2 Tons    HS8.4
                                  HS20                        36 Tons         RF=0.70           25.3 Tons    HS14.0
                                   2F1                        15 Tons         RF=1.12           16.8 Tons
                                   3F1                        23 Tons         RF=0.92           21.3 Tons
  Operating
                                   4F1                        27 Tons         RF=0.86           23.3 Tons
                                   5C1                        40 Tons         RF=0.92           37.0 Tons
                               Ohio Legal %                                  85%


                                      ODOT BMS ENTRIES
                           Rating_Type          Max Safe Load                  BMS
                           HS Operating              25                      LOADR_Sc
                                                                                225
                           HS Inventory              15                         215
                       Percentage Legal Load         85                          85
                            Rating Year                                        2008
                         Method of Analysis                                      2
                            Analyzed by                                         CW


 (revised on 3/2/2009 by ODOT)                              Page 2 of 12
CARD TYPE

               SPAN           14


                                                                                                                                 LIVE
                                                                            SPAN 1
                                                            SPAN 1 SPAN 1                                                        LOAD
            STRUCTURE ID   MEMBER     SPANS 13-                              16TH   TYPE 48-
                                                           FEET 20- INCHES                        Fy 51-55          Fc' 56-60    DIST
                 3-8        ID 9-11      14                                INCH 26-   50
                                                              23     24-25                                                      FACTOR
                                                                              27
                                                                                                                                 61-65
08            6000429        S01         01                 0014       00       00     RC          33000              3000        0.207
                                                                                      LOAD                                       LENGTH     LENGTH
            STRUCTURE ID   MEMBER     SPAN # 13-                                                 LOAD P,WL          LENGTH
                                                                                     TYPE P,                                    INCHES 50- 16TH INCH
                 3-8        ID 9-11      14                                                        34-38           FEET 46-49
                                                                                     W, V, 33                                      51         52-53
10            6000429        S01         01                                            W            80.0              0014         00              00
                                                                           SPAN 1
                                                           SPAN 1 SPAN 1
            STRUCTURE ID   MEMBER     SPAN # 13- RANGE                      16TH   SEC NO        SEC NO RT.
                                                          FEET 19- INCHES
                 3-8        ID 9-11      14      NO 15-16                 INCH 25- LT. 27-28       29-30
                                                             22     23-24
                                                                             26
11            6000429        S01         01         01      0014       00       00     01            01
                                     SECTION
            STRUCTURE ID   MEMBER              h IN. 19- b IN. 29- b' IN. 34-                   AsI IN^2     47-     dI IN
                                    NO.    14-                                       I 44-45                                    Compressive Code        58
                 3-8        ID 9-11                23        33         38                            51             52-57
                                        15
13            6000429        S01         01        10.50              12.00            01           0.960            9.125
Maximum Axle Moments
Span   HS20_Max_Moment   2F1_Max_Moment   3F1_Max_Moment   4F1_Max_Moment   5C1_Max_Moment
   0          0.00               0.00             0.00             0.00             0.00
   1          8.00               5.00             4.25             3.50             4.25                             Chart Title
   2          16.00             10.00             8.50             7.00             8.50
   3          24.00             15.00            12.75            10.50            12.75                  3000.00
   4          32.00             20.00            17.00            14.00            17.00
   5          40.00             25.00            21.25            17.50            21.25
   6          48.00             30.00            25.50            21.00            25.50
   7          56.00             35.00            29.75            24.50            29.75
                                                                                                          2500.00                  HS20_Max_Moment, 2475.00
   8          64.00             40.00            34.00            28.00            34.00
   9          72.00             45.00            42.50            38.50            42.50                                            5C1_Max_Moment, 2324.48
  10          80.00             50.00            51.00            49.00            51.00
  11          88.00             55.00            59.50            59.50            59.50
  12          96.00             60.00            68.00            70.00            68.00                  2000.00
  13         104.00             65.00            76.50            80.50            76.50                                            4F1_Max_Moment, 1885.87
  14         112.00             70.00            85.00            91.00            85.00
  15         120.00             75.00            93.50           101.50            93.50




                                                                                             Axis Title
                                                                                                                                    3F1_Max_Moment, 1631.10
  16         128.00             80.00           102.00           112.00           102.00                  1500.00
  17         136.00             85.00           110.50           122.50           110.50
  18         144.00             90.00           119.00           133.00           119.00
  19         152.00             96.89           127.50           143.50           127.50
  20         160.00            104.17           136.73           154.00           136.00                                            2F1_Max_Moment, 1075.56
  21         168.00            111.47           148.20           164.50           144.50                  1000.00
  22         176.00            118.79           159.67           175.00           153.00
  23         184.00            126.13           171.14           185.50           161.50
  24         192.67            133.48           182.61           196.00           171.31
  25         207.36            140.84           194.09           206.50           182.76                   500.00
  26         222.15            148.21           205.57           217.00           194.21
  27         237.04            155.59           217.04           229.34           205.66
  28         252.00            162.98           228.52           242.67           217.12
  29         267.03            170.38           240.01           256.01           228.58
                                                                                                             0.00
  30         282.13            177.78           251.49           269.36           240.05




                                                                                                                      0
                                                                                                                      2

                                                                                                                      6
                                                                                                                      8
                                                                                                                      4




                                                                                                                     14
                                                                                                                     16



                                                                                                                     22
                                                                                                                     24



                                                                                                                     30
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                                                                                                                     38
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                                                                                                                     46
                                                                                                                     48



                                                                                                                     54
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                                                                                                                     62



                                                                                                                     68
                                                                                                                     70



                                                                                                                     76
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                                                                                                                     84
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                                                                                                                     92
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                                                                                                                     10
                                                                                                                     12



                                                                                                                     18
                                                                                                                     20



                                                                                                                     26
                                                                                                                     28



                                                                                                                     34
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                                                                                                                     42
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                                                                                                                     50
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                                                                                                                     58
                                                                                                                     60

                                                                                                                     64
                                                                                                                     66



                                                                                                                     72
                                                                                                                     74



                                                                                                                     80
                                                                                                                     82



                                                                                                                     88
                                                                                                                     90



                                                                                                                     96
                                                                                                                     98
                                                                                                                    100
                                                                                                                    102



                                                                                                                    108
                                                                                                                    110



                                                                                                                    116
                                                                                                                    118

                                                                                                                    122
                                                                                                                    124



                                                                                                                    130
                                                                                                                    132



                                                                                                                    138
                                                                                                                    140



                                                                                                                    146
                                                                                                                    148
                                                                                                                    104
                                                                                                                    106



                                                                                                                    112
                                                                                                                    114



                                                                                                                    120



                                                                                                                    126
                                                                                                                    128



                                                                                                                    134
                                                                                                                    136



                                                                                                                    142
                                                                                                                    144



                                                                                                                    150
  31         297.29            185.19           262.97           282.72           251.51
  32         312.50            192.61           274.46           296.08           262.98
  33         327.76            200.03           285.95           309.46           274.45
  34         343.53            207.46           297.43           322.84           285.92
  35         361.20            214.89           308.92           336.23           297.40
  36         378.89            222.32           320.41           349.63           308.87
  37         396.59            229.76           331.90           363.03           320.35
  38         414.32            237.20           343.39           376.44           331.83
  39         432.05            244.64           354.88           389.85           343.30
  40         449.80            252.09           366.37           403.27           354.78
  41         467.56            259.54           377.86           416.69           366.27
  42         485.33            266.99           389.35           430.11           377.75
  43         503.12            274.44           400.84           443.54           389.23
  44         520.91            281.90           412.33           456.97           400.71
  45         538.71            289.36           423.83           470.40           412.20
  46         556.52            296.82           435.32           483.84           423.68
  47         574.34            304.28           446.81           497.28           435.17
  48         592.17            311.74           458.31           510.72           446.65
  49         610.00            319.21           469.80           524.17           458.14
  50         627.84            326.67           481.29           537.61           469.63
  51         645.69            334.14           492.79           551.06           481.12
  52         663.54            341.61           504.28           564.51           492.60
  53         681.40            349.08           515.78           577.97           504.09
  54         699.26            356.55           527.27           591.42           515.58
  55         717.13            364.02           538.77           604.88           527.07
  56         735.00            371.49           550.26           618.33           538.56
  57         752.88            378.97           561.76           631.79           550.05
  58         770.76            386.44           573.25           645.25           561.54
  59         788.64            393.92           584.75           658.71           573.03
  60         806.53            401.39           596.24           672.18           584.52
  61         824.43            408.87           607.74           685.64           596.01
  62         842.32            416.35           619.24           699.11           607.51
  63         860.22            423.83           630.73           712.57           619.00
  64         878.13            431.31           642.23           726.04           630.49
  65         896.03            438.79           653.73           739.51           644.72
  66         913.94            446.27           665.22           752.98           664.18
  67         931.85            453.75           676.72           766.45           683.66
  68         949.76            461.23           688.22           779.92           703.15
  69         967.68            468.71           699.71           793.39           722.65
  70         985.60            476.20           711.21           806.87           742.17
  71        1003.52            483.68           722.71           820.34           761.70
  72        1021.44            491.16           734.20           833.81           781.25
  73        1039.37            498.65           745.70           847.29           800.81
  74        1057.30            506.13           757.20           860.77           820.38
  75        1075.23            513.62           768.70           874.24           839.96
  76        1093.16            521.10           780.19           887.72           859.55
  77        1111.09            528.59           791.69           901.20           879.16
  78        1129.03            536.07           803.19           914.68           898.77
  79        1146.96            543.56           814.69           928.15           918.39
  80        1164.90            551.05           826.18           941.63           938.03
  81        1182.84            558.53           837.68           955.11           957.67
  82        1200.78            566.02           849.18           968.59           977.32
  83        1218.72            573.51           860.68           982.07           996.98
  84        1236.67            581.00           872.17           995.56          1016.64
  85        1254.61            588.49           883.67          1009.04          1036.32
  86        1272.56            595.97           895.17          1022.52          1056.00
  87        1290.51            603.46           906.67          1036.00          1075.69
  88        1308.45            610.95           918.17          1049.48          1095.39
  89        1326.40            618.44           929.67          1062.97          1115.09
  90        1344.36            625.93           941.16          1076.45          1134.80
  91        1362.31            633.42           952.66          1089.94          1154.52
  92        1380.26            640.91           964.16          1103.42          1174.24
  93        1398.22            648.40           975.66          1116.91          1193.97
  94        1416.17            655.89           987.16          1130.39          1213.70
  95        1434.13            663.38           998.65          1143.88          1233.44
  96        1452.08            670.87          1010.15          1157.36          1253.19
  97        1470.04            678.36          1021.65          1170.85          1272.94
  98        1488.00            685.86          1033.15          1184.33          1292.69
  99        1505.96            693.35          1044.65          1197.82          1312.45
 100        1523.92            700.84          1056.15          1211.31          1332.22
 101        1541.88            708.33          1067.65          1224.79          1351.99
 102        1559.84            715.82          1079.14          1238.28          1371.76
 103        1577.81            723.31          1090.64          1251.77          1391.54
 104        1595.77            730.81          1102.14          1265.26          1411.33
 105        1613.73            738.30          1113.64          1278.74          1431.11
 106        1631.70            745.79          1125.14          1292.23          1450.91
 107        1649.66            753.28          1136.64          1305.72          1470.70
 108        1667.63            760.78          1148.14          1319.21          1490.50
 109        1685.60            768.27          1159.63          1332.70          1510.30
 110        1703.56            775.76          1171.13          1346.19          1530.11
 111        1721.53            783.26          1182.63          1359.68          1549.92
 112        1739.50            790.75          1194.13          1373.17          1569.73
 113        1757.47            798.24          1205.63          1386.66          1589.55
 114        1775.44            805.74          1217.13          1400.15          1609.37
 115        1793.41            813.23          1228.63          1413.64          1629.19
 116        1811.38            820.72          1240.13          1427.13          1649.02
 117        1829.35            828.22          1251.63          1440.62          1668.85
 118        1847.32            835.71          1263.12          1454.11          1688.68
 119        1865.29            843.21          1274.62          1467.60          1708.51
 120        1883.27            850.70          1286.12          1481.09          1728.35
 121        1901.24            858.19          1297.62          1494.58          1748.19
 122        1919.21            865.69          1309.12          1508.07          1768.03
 123        1937.19            873.18          1320.62          1521.56          1787.88
 124        1955.16            880.68          1332.12          1535.05          1807.73
 125        1973.14            888.17          1343.62          1548.55          1827.58
 126        1991.11            895.67          1355.12          1562.04          1847.43
 127        2009.09            903.16          1366.62          1575.53          1867.28
 128        2027.06            910.66          1378.11          1589.02          1887.14
 129        2045.04            918.15          1389.61          1602.51          1907.00
 130        2063.02            925.65          1401.11          1616.01          1926.86
 131        2080.99            933.14          1412.61          1629.50          1946.73
 132        2098.97            940.64          1424.11          1642.99          1966.59
 133        2116.95            948.13          1435.61          1656.48          1986.46
 134        2134.93            955.63          1447.11          1669.98          2006.33
 135        2152.90            963.12          1458.61          1683.47          2026.20
 136        2170.88            970.62          1470.11          1696.96          2046.07
 137        2188.86            978.11          1481.61          1710.45          2065.95
 138        2206.84            985.61          1493.11          1723.95          2085.83
 139        2224.82            993.10          1504.61          1737.44          2105.71
 140        2242.80           1000.60          1516.10          1750.93          2125.59
 141        2260.78           1008.10          1527.60          1764.43          2145.47
 142        2278.76           1015.59          1539.10          1777.92          2165.35
 143        2296.74           1023.09          1550.60          1791.41          2185.24
 144        2314.72           1030.58          1562.10          1804.91          2205.13
 145        2334.50           1038.08          1573.60          1818.40          2225.01
 146        2362.28           1045.58          1585.10          1831.89          2244.90
 147        2390.22           1053.07          1596.60          1845.39          2264.80
 148        2418.32           1060.57          1608.10          1858.88          2284.69
 149        2446.58           1068.06          1619.60          1872.38          2304.58
 150        2475.00           1075.56          1631.10          1885.87          2324.48
              0.00               0.00             0.00             0.00             0.00
              0.00               0.00             0.00             0.00             0.00
              0.00               0.00             0.00             0.00             0.00
              0.00               0.00             0.00             0.00             0.00
              0.00               0.00             0.00             0.00             0.00
38.5        423.18            240.92           349.13           383.14           337.57
              0.00              0.00             0.00             0.00             0.00
              0.00              0.00             0.00             0.00             0.00
              0.00              0.00             0.00             0.00             0.00
              0.00              0.00             0.00             0.00             0.00
              0.00              0.00             0.00             0.00             0.00
Bars Sizes and Areas               Live Load Moments (AASHTO)
                                                     HS-20       HS-25     2F1
                                                   Moment (k- Moment (k- Moment (k-
  bar size #      Area (in^2)         Span (ft)        ft)         ft)      ft)
             4             0.2                   0             0         0         0
             5           0.31                    1             8        10         5
             6           0.44                    2            16        20       10
             7             0.6                   3            24        30       15
             8           0.79                    4            32        40       20
             9               1                   5            40        50       25
            10           1.27                    6            48        60       30
            11           1.56                    7            56        70       35
                                                 8            64        80       40
                                                 9            72        90       45
                                                10            80       100       50
fc' (ksi)         Beta1                         11            88       110       55
              2            0.85                 12            96       120       60
            2.5            0.85                 13           104       130       65
              3            0.85                 14           112       140       70
            3.5            0.85                 15           120       150       75
              4            0.85                 16           128       160       80
            4.5           0.825                 17           136       170       85
              5              0.8                18           144       180       90
            5.5           0.775                 19           152       190      96.8
              6            0.75                 20           160       200    104.1
            6.5           0.725                 21           168       210    111.4
              7              0.7                22           176       220    118.8
            7.5           0.675                 23           184       230    126.1
              8            0.65                 24         192.7  240.875     133.4
            8.5            0.65                 25         207.4   259.25     140.8
              9            0.65                 26         222.2   277.75     148.2
                                                27           237   296.25     155.6
                                                28           252       315    162.9
                                                29           267   333.75     170.3
                                                30         282.1  352.625     177.8
                                                31         297.3  371.625     185.2
                                                32         312.5  390.625     192.6
                                                33         327.8   409.75       200
                                                34         343.5  429.375     207.4
                                                35         361.2     451.5    214.9
                                                36         378.9  473.625     222.3
                                                      37   396.6    495.75   229.7
                                                      38   414.3   517.875   237.2
                                                      39   432.1   540.125   244.6
                                                      40   449.8    562.25   252.1

Span (ft) Thick (in)    Spac (in)      Bar size (#)
         11       11.25           6.25                 7
         12       11.75              6                 7
         13        12.5              6                 7
         14          13              6                 7
         15        13.5              6                 7
         16          14            7.5                 8
         17       14.75           7.75                 8
         18       15.25            7.5                 8
         19       15.75            7.5                 8
         20       16.25           7.25                 8
         21       16.75              7                 8
         22       17.25           8.75                 9
         23       17.75           8.75                 9
         24       18.25            8.5                 9
         25       18.75           8.25                 9
         26       19.25              8                 9
         27       19.75           7.75                 9
         28        20.5            7.5                 9
         29          21           9.25                10
         30        21.5           8.75                10
         31          22            8.5                10
         32       22.75            8.5                10
         33       23.25           8.25                10
         34       23.75              8                10
         35       24.25           7.75                10
         36          25            7.5                10
         37        25.5           7.25                10
         38          26              7                10
  3F1        4F1        5C1
Moment (k- Moment (k- Moment (k-
   ft)        ft)        ft)
           0          0          0
         4.3        3.5        4.3
         8.5          7        8.5
       12.8       10.5       12.8
                                     600
         17          14         17
       21.3       17.5       21.3
       25.5          21      25.5
       30.4          25      30.4    500
       38.3       31.5       38.3
       46.3       38.5       46.3
       54.4          49      54.4
       62.6       59.5       62.6    400
       70.8          70      70.8
       79.1       80.5       79.1
       87.4          91      87.4
       95.8     101.5        95.8    300
     104.1         112     104.1
     112.5      122.5      112.5
     120.9         133     120.9
     129.3      143.5      129.3
     137.7         154     137.7
                                     200
     148.2      164.5      146.1
     159.7         175     154.5
     171.1      185.5         163
     182.6         196     171.4     100
     194.1      206.5      182.7
     205.6         217     194.2
        217     229.3      205.6
     228.5      242.7      217.1      0
        240        256     228.5           0   5   10
     251.5      269.4         240
        263     282.7      251.5
     274.5      296.1      262.9
     285.9      309.5      274.4
     297.4      322.8      285.9
     308.9      336.2      297.4
     320.4      349.6      308.8
331.9     363   320.3
343.4   376.4   331.8
354.9   389.8   343.3
366.4   403.3   354.8
                              HS-20 Moment (k




                              2F1 Moment (k




                              4F1 Moment (k




15   20   25   30   35   40
   20 Moment (k-ft)   HS-25 Moment (k-ft)




2F1 Moment (k-ft)     3F1 Moment (k-ft)




4F1 Moment (k-ft)     5C1 Moment (k-ft)
Summary of Load Ratings                                               RC Slab
                                                                                  M (live +
                                       M (Dead M (live                             Impact                   R.F. = (Capacity-
              GVW     M (Capacity) ft- load) ft- wheel) ft-   Live             distributed) ft-                 A1*Dead         Safe Load
   Load       Tons        kips           kips      kips     Load DF   Impact I      kips        A1   A2      Load)/(A*(L+I))      Tons

 HS20 (Inv)   36.00             41.20       3.60    52.00   0.209      0.30             14.13 1.30   2.17              1.191            43   HS23.8
HS20 (Ope)    36.00             41.20       3.60    52.00   0.209      0.30             14.13 1.30   1.30              1.988            72   HS39.8




                                                                                                                                                 Posting Loads
    2F1       15.00             41.20       3.60    32.50   0.209      0.30              8.83 1.30   1.30              3.181            48
    3F1       23.00             41.20       3.60    38.25   0.209      0.30             10.39 1.30   1.30              2.703            62
    4F1       27.00             41.20       3.60    40.25   0.209      0.30             10.94 1.30   1.30              2.569            69
    5C1       40.00             41.20       3.60    38.25   0.209      0.30             10.39 1.30   1.30              2.703           108

                                                                               % of Ohio Legal Loads                                260%



                               ODOT BMS CODING
                                                   BMS
                                        Max Safe LOADR_Sc
                      Rating_Type        Load      reen
                      HS Operating         45       245
                      HS Inventory         36       236
                      % Legal Load        150       150

				
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