Process Steps Documentation - Icivil-hu.com

Process Steps

DocumentationChap2 ‐ EFM Problem Log

9th Ed 8th Ed Comment1.1 new problem1.2 new problem1.3 new problem1.4 new problem1.5 new problem1.6 new problem1.7 new problem1.8 new problem1.9 new problem1.10 new problem1.11 new problem1.12 new problem1.13 new problem

Chap2 ‐ EFM Problem Log

9th Ed 8th Ed Comment2.1 new problem2.2 new problem2.3 new problem2.4 2.12.5 2.22.6 2.3 modified2.7 2.42.8 2.52.9 2.6 modified2.10 new problem2.11 2.72.12 2.82.13 2.92.14 2.102.15 2.112.16 2.122.17 new problemp2.18 2.132.19 2.14 modified2.20 2.152.21 2.162.22 2.182.23 2.19 modified2.24 2.202.25 2.212.26 2.222.27 2.232.28 2.242.29 2.252.30 2.262.31 2.28

2.32 2.292.33 new problem2.34 2.302.35 2.312.36 2.322.37 2.33

2.382.34, 2.35, and 2.36 combined

modified

2.39 2.382.40 2.39 modified2.41 2.412.42 2.432.43 2.442.44 new problem2.45 2.45 modified2.46 2.46 modified2.47 new problem2.48 new problem2 492.49 2 472.472.50 2.482.51 2.492.52 2.502.53 2.512.54 2.522.55 2.532.56 2.552.57 2.562.58 2.57 modified2.59 new problem2.60 new problem2.61 new problem2.62 new problem2.63 new problem

2.64 2.58

2.17 deleted2.27 deleted2.37 deleted2.4 deleted2.42 deleted2.54 deleted


9th Ed 8th Ed Comment3.1 new problem3.2 new problem3.3 new problem3.4 3.13.5 new problem3.6 3.33.7 new problem3.8 new problem3.9 new problem3.10 new problem3.11 3.73.12 3.83.13 3.93.14 3.103.15 3.11 modified3.16 3.123.17 3.143 183.18 3 153.153.19 new problem3.20 new problem3.21 3.163.22 3.183.23 3.203.24 3.213.25 3.223.26 3.233.27 3.453.28 new problem3.29 new problem3.30 3.273.31 3.28 modified3.32 3.29 modified

52 53

3.33 3.303.34 3.31 modified3.35 3.323.36 3.343.37 3.353.38 3.36 modified3.39 3.393.40 3.403.41 3.413.42 3.423.43 3.433.44 3.443.45 3.333.46 3.47 modified3.47 3.483.48 3.493.49 3.503.50 3.523.51 3.54 modified3.523. 3.533.3.53 3.553.54 new problem3.55 3.573.56 3.583.57 new problem3.58 new problem3.59 3.593.60 3.603.61 3.61 modified3.62 3.62 modified3.63 3.633.64 3.643.65 3.653.66 3.66 modified

86 86 modified

3.67 3.67 modified3.68 3.683.69 3.713.70 3.723.71 3.23.72 3.43.73 3.693.74 3.773.75 3.783.76 3.763.77 3.813.78 3.823.79 3.833.80 new problem3.81 new problem3.82 3.873.83 3.97 modified3.84 3.983.85 3.1003.863. 3.863. modified3.87 new problem3.88 3.84 modified3.89 3.913.90 3.893.91 3.923.92 3.933.93 3.733.94 3.943.95 3.953.96 3.753.97 3.993.98 3.853.99 3.1013.100 3.102

3.101 3.1033.102 3.1043.103 3.1063.104 3.1073.105 3.1083.106 3.1093.107 3.110

new problem

EFM Problem Log9th Ed 8th Ed Comment

4.1 new problem4.2 new problem4.3 4.1174.4 4.14.5 4.2 Problem modified to remove acceleration questions4.6 4.34.7 4.44.8 4.164.9 new problem4.10 new problem4.11 4.64.12 4.7

4.13 4.84.14 new problem4.15 new problem4.16 4.174.174.17 new problem4.18 4.194.19 4.21 Problem changed to replace Q with V4.20 4.224.21 4.234.22 4.244.23 4.254.24 4.264.25 new problem4.26 new problem4.27 4.274.28 4.28 Acceleration changed to 0.3g.4.29 4.294.30 4.304.31 4.31 Pressure changed to 8 psig

51 92 Chnaged rotational rate to 50 rad/s

4.32 4.324.33 4.33 Acceleration changed to 5 m/s.s4.34 4.344.35 4.354.36 4.364.37 4.38 Changed specific gravity of liquid to 1.24.38 4.394.39 new problem4.40 new problem4.41 4.80 Changed rortation rate to 10 rad/s4.42 4.814.43 new problem4.44.4.45 4.834.46 4.474.47 4.84 Changed rotational rate to 50 rev/min4.48 4.88 Changed elevation difference to 20 cm4.49 4.894.50 4.94.514. 4.924. Chnaged rotational rate to 50 rad/s 4.52 4.964.53 4.97 Changed rotational rate to 3000 rev/min4.54 4.984.55 4.994.56 4.100 Changed maximum velocity to 25 ft/s4.57 new problem4.58 new problem4.59 4.444.60 new problem4.61 new problem4.62 new problem4.63 4.454.64 4.47 Changed to calculation of height in lieu of velocity4.65 4.49

85 73

4.66 4.504.67 4.514.68 4.52 Changed pressure difference to 3 kPa from 2 kPa4.69 4.534.70 4.554.71 4.564.72 4.57 Changed pitot tube deflection to 4 in.4.73 4.584.74 4.594.75 4.60 Changed pressure difference to 1 psid4.76 4.614.77 4.624.78 4.634.79 4.644.80 4.664.81 4.684.82 4.704.83 new problem4.84 4.724.854. 4.734.4.86 new problem4.87 new problem4.88 4.744.89 4.754.90 4.76 Changed velocity field4.91 4.77 Removed question concerning acceleration4.92 4.784.93 4.794.94 4.1014.95 4.1024.96 4.1034.97 4.1044.98 4.1054.99 4.106

4.100 4.1074.101 new problem4.102 new problem4.103 new problem4.104 4.1114.105 4.1124.106 4.1144.107 4.1154.108 new problem4.109 new problem4.110 4.116

EFM Problem Log

9th edition 8th edition Description of Change (if any)5.1 new problem5.2 new problem5.3 new problem5.4 new problem5.5 5.1 Discharge changed to 0.055.6 5.25.7 5.35.8 5.45.9 5.55.10 5.65.11 5.7 Discharge chnaged to 10005.12 5.85.13 5.95.14 5.105.15 5.115.16 5.125.17 5.13 Changed width to 30 ft5 185.18 5 145.145.19 5.155.20 5.16 Changed time to 20 min5.21 5.175.22 5.185.23 5.195.24 5.205.25 5.215.26 5.22 Changed diameter to 1.5 in5.27 5.235.28 5.24 Changed time to 15 min5.29 new problem5.30 new problem5.31 5.25 Changed mean velocity to 10 ft/s5.32 new problem

52 40

5.33 new problem5.34 new problem5.35 new problem5.36 new problem5.37 5.345.38 5.365.39 5.335.40 new problem5.41 new problem5.42 new problem5.43 new problem5.44 5.355.45 5.265.46 5.285.47 5.29 changed h to 0.6 cm5.48 5.305.49 5.315.50 5.32 Volume of tire chnaged to 0.045 ft^35.51 5.39 changed velocity to 4 m/s5.525. 5.405.5.53 5.415.54 5.42 Dimension duct changed from from 50 to 60 cm5.55 5.435.56 5.445.57 5.45 Changed to 10 in pipe5.58 5.465.59 5.475.60 5.48 Inlet changed to 10 cfm5.61 5.495.62 5.505.63 5.51 Inlet flow rate changed to 1200 cfs5.64 5.525.65 5.535.66 5.54

86 73 Pressure difference changed to 3 in

5.67 5.55 Pressure changed to 250 kPa5.68 new problem5.69 new problem5.70 new problem5.71 5.565.72 5.575.73 5.58 Diameter of orifice changed to 0.12 mm5.74 5.595.75 5.605.76 5.625.77 5.635.78 5.655.79 5.665.80 5.67 Temperature changed to 2200 C5.81 5.68 Propellant density changed to 2200 kg/m3

5.82 5.695.83 5.705.84 5.715.85 new problem5.865. 5.735. Pressure difference changed to 3 in 5.87 5.745.88 5.76 Velocity changed to 80 ft/s5.89 5.775.90 5.785.91 5.795.92 5.80 Changed speed to 6 ft/s5.93 new problem5.94 new problem4.85 new problem5.96 5.755.97 5.84 Depth changed to 12 ft5.98 5.855.99 5.865.100 5.87 Speed changed to 25 ft/s

5.101 5.885.102 5.895.103 5.905.104 5.915.105 5.925.106 5.935.107 new problem

Chap 6 ‐ EFM Problem Log

9th Ed 8th Ed Comment6.1 new problem6.2 new problem6.3 new problem6.4 new problem6.5 6.16.6 6.26.7 6.36.8 6.46.9 6.5 Changed velolcity to 1 m/s6.10 6.66.11 6.7 Changed force to 600 lbf6.12 6.86.13 6.96.14 6.106.15 6.146.16 6.156.17 6.166 186.18 6 826.826.19 6.896.20 6.176.21 6.186.22 6.196.23 6.206.24 6.21 water flow rate changed to 1.5 kg/s6.25 6.226.26 6.236.27 6.256.28 6.296.29 6.726.30 6.736.31 6.74 Jet diamter changed to 0.15 ft6.32 6.75

52 45

6.33 6.766.34 6.776.35 6.78 snow is 4 in deep6.36 new problem6.37 new problem6.38 6.316.39 6.326.40 6.336.41 6.346.42 6.35 Flow rate changed to 12 cfs6.43 6.366.44 6.376.45 6.386.46 6.396.47 6.40 Changed velocity to 20 ft/s6.48 6.36.49 6.416.50 6.426.51 6.446.526. 6.456.6.53 6.46 Changed total flow rate to 12 lbm/s and 6 lbm/s in each leg6.54 6.476.55 6.486.56 new problem6.57 new problem6.58 6.11 Changed pressure to 2500 psfg6.59 6.126.60 6.136.61 6.506.62 5.516.63 6.526.64 6.536.65 6.886.66 6.54

86 80

6.67 6.55 Changed flow rate to 8 cfs6.68 6.566.69 6.57 Changed flow rate to 4 cfs6.70 6.586.71 6.596.72 6.606.73 6.626.74 6.63 Changed upstream depth to 5 ft6.75 6.646.76 6.65 Relative velocity is 100 ft/s6.77 6.666.78 6.676.79 6.686.80 6.696.81 6.706.82 6.26 Changed flow rate to 60 kg/s6.83 6.846.84 new problem6.85 6.716.866. 6.806.6.87 6.816.88 new problem6.89 6.856.90 6.866.91 6.90 Changed velocity to 12 m/s6.92 6.916.93 6.926.94 6.936.95 6.946.96 6.956.97 6.966.98 6.976.99 6.986.100 6.103

6.101 6.1046.102 6.996.103 6.1006.104 6.1016.105 new problem6.106 6.1026.107 6.1056.108 6.1066.109 new problem

new problem


9th Ed 8th Ed Comment7.1 new problem7.2 new problem7.3 new problem7.4 new problem7.5 new problem7.6 7.1 modified7.7 7.3 modified7.8 new problem7.9 7.77.10 7.87.11 7.97.12 7.107.13 7.12 modified7.14 7.137.15 7.147.16 new problem7.17 new problem7 187.18 new problem 7.19 new problem7.20 7.307.21 7.237.22 7.177.23 7.187.24 7.327.25 7.197.26 7.22 modified7.27 7.15 modified7.28 7.167.29 7.207.30 7.247.31 7.257.32 7.26

52 39 modified

7.33 7.287.34 7.297.35 7.317.36 7.567.37 7.577.38 7.737.39 new problem7.40 new problem7.41 7.35 modified7.42 7.367.43 7.217.44 7.337.45 7.34 modified7.46 7.777.47 7.437.48 7.427.49 7.447.50 7.37 modified7.51 7.387.527. 7.397. modified7.53 7.407.54 7.457.55 7.467.56 7.547.57 7.557.58 7.49 modified7.59 7.507.60 7.47 modified7.61 7.487.62 7.277.63 7.517.64 7.667.65 7.537.66 7.78

7.67 new problem7.68 new problem7.69 7.63 modified7.70 7.647.71 7.587.72 7.747.73 7.657.74 7.667.75 7.757.76 7.627.77 7.417.78 7.597.79 7.677.80 7.687.81 7.697.82 7.707.83 7.717.84 7.72


9th Ed 8th Ed Comment aslddf8.1 new problem8.2 new problem8.3 new problem8.4 8.18.5 8.28.6 8.38.7 8.58.8 8.68.9 8.88.10 8.108.11 new problem8.12 8.118.13 8.138.14 8.168.15 8.178.16 8.198.17 8.218 188.18 8 238.238.19 8.248.20 8.168.21 new problem8.22 new problem8.23 8.278.24 8.98.25 new problem8.26 new problem8.27 new problem8.28 new problem8.29 new problem8.30 8.288.31 8.29 pipe size changed to 4 cm8.32 8.30

52 50

8.33 8.31 pressure chnaged to 400 kPa8.34 8.338.35 8.34 changed to 1/4 scale model8.36 8.358.37 8.368.38 new problem8.39 new problem8.40 8.378.41 8.38 changed velocity to 4 ft/s8.42 8.39 blimp speed is 800 mm/s8.43 8.418.44 8.428.45 8.43 changed scale to 1/48.46 8.448.47 8.458.48 8.46 changed velocity to 30 ft/s8.49 8.478.50 8.48 changed scale to 1/508.51 8.498.528. 8.508.8.53 8.518.54 8.538.55 8.55 changed velocity to 30 m/s8.56 8.568.57 8.578.58 8.588.59 8.59 changed scale to 1/108.60 8.608.61 8.618.62 8.62 changed scale to 1/258.63 8.63 changed scale to 1/128.64 8.648.65 8.658.66 8.66

8.67 8.67 discharge to 200 m3/s8.68 8.688.69 8.69 changed length to 5 ft8.70 8.708.71 8.728.72 8.738.73 8.748.74 8.75

Problem modified


9th Ed 8th Ed Comment9.1 9.1 Problem modified9.2 9.29.3 9.39.4 9.49.5 9.59.6 9.69.7 9.7 Problem statement or sketch modified9.8 9.89.9 9.99.10 9.109.11 9.119.12 9.129.13 9.13 Solution corrected (correct property values of glycerin)9.14 9.14 Problem statement or sketch modified9.15 9.15 Problem statement or sketch modified9.16 9.16 Problem modified9.17 9.179 189.18 9 189.18 Problem modified 9.19 9.19 Problem modified9.20 9.209.21 9.21 Problem statement or sketch modified9.22 9.229.23 9.239.24 9.24 Problem modified9.25 9.259.26 9.269.27 9.279.28 9.28 Problem modified9.29 9.299.30 9.309.31 9.319.32 9.32 Problem modified

52 52

9.33 9.33 Problem statement or sketch modified9.34 9.349.35 ‐‐ New Problem9.36 ‐‐ New Problem9.37 9.379.38 9.389.39 ‐‐ New Problem9.40 9.409.41 9.41 Problem statement or sketch modified9.42 9.42 Problem statement or sketch modified9.43 9.43 Problem modified9.44 9.449.45 9.45 Problem modified9.46 9.469.47 9.47 Problem modified9.48 9.489.49 9.499.50 9.509.51 9.51 Problem modified9.529. 9.529.9.53 9.539.54 9.54 Problem modified9.55 9.559.56 9.569.57 9.579.58 9.589.59 9.599.60 9.609.61 9.61 Problem modified9.62 9.62 Problem modified9.63 9.639.64 9.649.65 9.659.66 9.66

9.67 9.679.68 9.689.69 9.69 Problem modified9.70 9.709.71 9.719.72 9.729.73 9.73 Problem modified9.74 9.749.75 9.759.76 9.76 Problem modified9.77 9.779.78 9.789.79 9.79 Problem modified9.80 9.809.81 9.81 Problem statement or sketch modified

10 18 10 8


9th Ed 8th Ed Comment10.1 10.13 modified10.2 new problem10.3 new problem10.4 new problem10.5 new problem10.6 new problem10.7 new problem10.8 new problem10.9 10.3710.10 new problem10.11 10.12 modified10.12 new problem10.13 10.26 modified10.14 new problem10.15 10.2 modifed10.16 10.4 modified10.17 10.6 modified10 18. 10 8.10.19 10.9 modified10.20 10.1010.21 10.1110.22 10.1410.23 10.1510.24 10.1610.25 10.17 modified10.26 10.2210.27 10.2510.28 10.2410.29 10.3410.30 10.2310.31 10.31 modified10.32 10.40

10 new problem

10.33 10.32 modified10.34 10.3810.35 10.4510.36 10.48 modified10.37 10.5610.38 10.5710.39 10.5810.40 10.3610.41 10.6510.42 10.2910.43 10.3010.44 10.3310.45 10.6010.46 10.3510.47 10.5010.48 10.4110.49 10.5310.50 new problem10.51 new problem10.52.52 new problem 10.53 10.51 modified10.54 new problem10.55 new problem10.56 10.6310.57 10.6810.58 10.6910.59 10.8510.60 10.6110.61 10.4210.62 10.5910.63 10.5210.64 10.5410.65 10.4410.66 10.64

10 10

10.67 10.6610.68 10.6710.69 10.7210.70 10.7410.71 10.7510.72 10.7610.73 10.7710.74 10.7910.75 10.8010.76 10.8110.77 10.8310.78 10.9110.79 10.9210.80 10.9810.81 10.9910.82 10.10010.83 10.11610.84 10.11810.85 10.8410.86.86 10.119.11910.87 10.8610.88 10.8710.89 10.8910.90 10.9010.91 10.10510.92 10.10610.93 10.10710.94 10.10810.95 10.10910.96 10.11010.97 10.11110.98 10.11210.99 10.11310.100 10.135

10.101 10.114


9th Ed 8th Ed Comment11.1 11.111.2 11.211.3 11.311.4 11.411.5 new problem11.6 new problem11.7 new problem11.8 11.1411.9 11.4411.1 11.15 modified11.11 11.16 modified11.12 11.1011.13 11.2611.14 new problem11.15 11.17 modified11.16 11.1811.17 new problemp11.18 11.711.19 11.8 modified11.20 11.5411.21 11.1211.22 11.19 modified11.23 11.2711.24 11.6411.25 11.6511.26 new problem11.27 11.3411.28 11.611.29 11.1111.30 11.20 modifed11.31 11.21 modified

11 11

11.32 11.2211.33 11.2311.34 11.2411.35 11.2811.36 11.29 modified11.37 11.3211.38 11.3311.39 11.35 modified11.40 new problem11.41 new problem11.42 11.4211.43 11.56 modified11.44 11.5011.45 11.46 modified11.46 11.5711.47 11.3911.48 11.4011.49 11.4311.50 11.4511.51.51 11.47.4711.52 11.4811.53 11.5111.54 11.4111.55 new problem11.56 new problem11.57 new problem11.58 new problem11.59 11.6111.60 11.60 modified11.61 11.6211.62 11.6711.63 11.6811.64 11.6911.65 11.70

11.66 11.7111.67 11.7211.68 11.7311.69 11.7411.70 11.7511.71 11.7611.72 11.7711.73 11.7811.74 11.7911.75 11.8011.76 11.81

12 18 12 12


9th Ed 8th Ed Comment12.1 new problem12.2 new problem12.3 new problem12.4 new problem12.5 12.112.6 12.2 Tempurature changed to 60 degrees12.7 12.312.8 12.412.9 12.512.10 12.612.11 12.712.12 12.812.13 12.912.14 12.1012.15 12.1112.16 new problem12.17 new problem12 18. 12 12.12.19 12.1312.20 12.1412.21 12.1512.22 12.1612.23 12.1712.24 12.1812.25 12.1912.26 new problem12.27 new problem12.28 12.2012.29 12.2112.30 12.2212.31 12.2312.32 12.24

12 12

12.33 12.2512.34 12.2612.35 new problem12.36 12.2712.37 12.2812.38 12.2912.39 12.30 Nozzle area changed to 5 square centimeters12.40 12.31 Nozzle area changed to 10 square centimeters12.41 12.3212.42 12.6112.43 new problem12.44 new problem12.45 12.3312.46 12.3412.47 12.3512.48 12.3612.49 12.3712.50 12.3812.51 12.3912.52.52 12.40.4012.53 12.41 Back pressure changed to 30 kPa12.54 12.4212.55 12.4312.56 12.4412.57 12.45 Area ratio changed to 512.58 12.4612.59 12.4712.60 12.60

13 18 13 14 modified


9th Ed 8th Ed Comment13.1 new problem13.2 new problem13.3 new problem13.4 13.113.5 13.213.6 13.313.7 13.413.8 13.513.9 13.613.10 13.7 modified13.11 13.813.12 13.913.13 13.1013.14 13.1113.15 13.1213.16 13.1313.17 new problem13 18. 13 14. modified13.19 new problem13.20 13.1513.21 13.16 modified13.22 13.1713.23 13.1813.24 13.19 modified13.25 13.2013.26 13.2113.27 13.22 modified13.28 13.23 modified13.29 13.2413.30 13.2513.31 13.26 modified13.32 13.27

13 13

13.33 13.2813.34 13.2913.35 13.3013.36 13.3113.37 13.3213.38 13.3313.39 new problem13.40 13.3413.41 13.3513.42 13.3613.43 13.3713.44 13.3813.45 13.3913.46 13.4013.47 13.4113.48 13.4213.49 13.4313.50 13.4413.51 13.4513.52.52 13.46.4613.53 13.47 modifed13.54 13.4813.55 new problem13.56 new problem13.57 13.49 modified13.58 13.50 modifed13.59 13.5113.60 13.5213.61 13.5313.62 13.5413.63 13.5513.64 13.5613.65 13.5713.66 13.59 modified

13.67 13.6013.68 13.6113.69 13.6213.70 13.6313.71 13.6413.72 13.65 modified13.73 13.6613.74 13.6713.75 13.6813.76 13.6913.77 13.7013.78 13.7113.79 13.7413.80 13.7513.81 13.8013.82 13.8113.83 13.82

14 14

CHAPTER 14: CHANGES TO PROBLEMS9th Edition 8th Edition Description of Change (if any)

14.1 new problem14.2 new problem14.3 14.114.4 14.214.5 14.314.6 14.414.7 14.514.8 14.614.9 14.714.10 14.814.11 14.914.12 14.1014.13 new problem14.14 new problem14.15 14.1114.16 14.1314.17 14.1414.18.18 14.15.1514.19 14.1614.20 14.1714.21 14.1814.22 14.3514.23 14.3614.24 14.2014.25 new problem14.26 new problem14.27 14.1914.28 14.2114.29 14.2214.30 14.2314.31 14.2414.32 14.25

14 14

14.33 14.2614.34 14.2714.35 new problem14.36 new problem14.37 new problem14.38 14.2814.39 14.2914.40 14.3014.41 14.3114.42 14.3214.43 14.3314.44 14.3414.45 new problem14.46 14.3714.47 14.3814.48 14.3914.49 new problem14.50 14.4014.51 14.4114.52.52 14.42.4214.53 new problem14.54 new problem14.55 14.4314.56 14.4414.57 14.4514.58 14.4614.59 new problem14.60 14.4714.61 14.4814.62 14.49 modified to include pipe losses

CHAPTER 15: CHANGES TO PROBLEMS9th Edition 8th Edition Description of Change (if any)

15.1 new problem15.2 new problem15.3 new problem15.4 10.11715.5 10.12115.6 10.12215.7 10.12315.8 10.12415.9 10.12515.10 10.12615.11 10.12715.12 10.12815.13 10.12915.14 10.13015.15 10.13115.16 10.13215.17 10.13315.18 10.13415.19 new problem15.20 new problem15.21 15.115.22 15.215.23 15.315.24 15.415.25 15.515.26 15.615.27 15.715.28 15.815.29 15.915.30 15.1015.31 15.1115.32 15.12

15 15

15.33 15.1315.34 15.1415.35 15.1515.36 15.1615.37 15.1715.38 15.1815.39 15.1915.40 15.2015.41 15.2115.42 15.2215.43 15.2315.44 15.2415.45 15.2515.46 15.2615.47 15.2715.48 15.2815.49 15.2915.50 15.3015.51 15.3215.52.52 15.33.3315.53 15.3415.54 15.3515.55 15.3615.56 15.3715.57 15.3915.58 15.4115.59 15.4215.60 15.4315.61 15.4415.62 15.4515.63 15.4615.64 15.4715.65 15.4815.66 15.49

15.67 15.5015.68 15.5115.69 15.5215.70 15.5315.71 15.5415.72 15.5515.73 15.56

old 15.31 was deletedold 15.38 was deletedold 15.40 was deleted

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