2
sin
2
cos
2
x
q
(2b)
2
sin
2
sin
xy
q
(2c)
1
2
2
(2d)
1
2
2
(2e)
を用いて、圧密降伏応力の増加量を求め強度設定を行っ
た。
図-7 ブシネスクの弾性応力解 イメージ図
0.000.000.000.000.000.000.000.000.000.000.000.000.010.010.010.010.020.020.030.050.080.150.320.924.0622.2340.4243.6044.3244.8846.5556.8287.2897.5499.1899.6299.90100.41102.33114.45150.47162.58164.47164.91165.05165.09165.09165.04164.91164.59163.61159.47133.0054.2427.7623.6222.6422.3122.1722.1022.0622.0422.0222.0021.9721.9221.7921.2617.966.031.050.290.110.050.030.020.010.010.010.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
0.010.010.010.010.010.010.020.020.020.030.030.040.050.060.070.100.130.170.240.360.570.991.904.1910.2122.5234.9041.2144.2046.8451.8663.4380.5492.0596.8999.05100.65103.05108.65122.15142.22155.65161.06163.06163.84164.09164.05163.71162.90161.07156.61144.76115.4571.6642.3430.4725.9824.1023.2022.7322.4622.2822.1422.0121.8321.5420.8919.2415.088.383.501.460.690.370.220.140.100.070.050.040.030.030.020.020.020.010.010.010.010.010.010.010.010.000.000.000.00
0.030.030.030.040.040.050.060.060.080.090.110.130.160.190.240.310.400.540.741.071.622.594.407.8614.0923.1832.4639.3744.3049.0755.7565.8477.8787.8394.1898.22101.63106.01113.21124.64138.40149.61156.29159.68161.26161.81161.66160.79158.85154.99147.35132.70108.2978.4854.0539.3431.6127.6025.4224.1723.3922.8722.4622.0821.6220.9519.7717.5913.969.355.422.981.691.010.650.440.310.230.170.130.110.090.070.060.050.040.040.030.030.030.020.020.020.020.010.010.01
0.060.070.080.090.100.110.130.150.180.210.240.290.350.430.540.680.881.161.562.173.134.657.1211.0616.8624.2231.8938.7344.7250.7757.9866.8676.5185.2292.0697.41102.32107.98115.47125.10135.63144.85151.41155.41157.52158.28157.94156.44153.38147.94138.74124.28104.3381.8461.8347.2537.8632.1128.5826.3624.8923.8623.0422.3021.4920.4318.8916.6213.539.996.784.392.831.871.270.900.660.490.380.300.240.200.170.140.120.100.090.080.070.060.050.050.040.040.030.030.03
0.120.130.150.170.190.220.250.290.330.390.460.550.660.800.991.231.562.022.663.584.926.899.7613.8119.1625.5432.3338.9645.3751.9659.2267.3075.7083.6190.5696.65102.48108.77116.08124.41133.01140.73146.70150.73153.00153.79153.21151.16147.29140.98131.46118.19101.6183.6366.9653.4843.6336.8232.2029.0626.8525.2223.9222.7521.5620.1718.4216.1913.4810.577.845.613.972.822.031.501.130.870.690.550.450.370.310.260.220.190.170.150.130.110.100.090.080.070.070.060.05
0.200.220.250.280.320.360.420.480.560.650.760.901.081.301.581.952.443.093.975.186.859.1312.2216.2621.2627.0433.2839.6746.1452.8459.9567.4875.1482.5589.4495.87102.13108.61115.58122.95130.26136.84142.13145.87148.04148.70147.87145.43141.12134.55125.36113.4799.4484.5370.3658.1848.5141.2235.8731.9729.0826.8625.0623.4621.9020.2418.3416.1513.7111.178.776.705.053.802.882.201.711.351.090.880.730.610.510.440.370.320.280.250.220.190.170.150.140.120.110.100.09
0.310.350.390.440.490.560.640.730.850.981.151.351.601.922.312.823.474.325.436.898.8111.3114.5118.4923.2428.6334.4740.6146.9653.5560.4267.5374.7081.7488.4994.98101.34107.76114.33120.95127.32133.01137.64140.96142.87143.33142.28139.61135.15128.70120.13109.5797.5184.8572.6061.6552.4545.0739.3234.8731.4228.6826.4124.4122.5220.6118.5916.4314.1411.849.667.726.094.783.762.982.381.921.571.291.080.910.770.660.570.500.430.380.340.300.270.240.220.190.180.160.15
0.450.500.560.630.710.810.921.051.211.401.621.902.232.653.173.814.635.666.978.6410.7513.4016.6520.5625.1130.2135.7541.6347.7754.1560.7567.5074.3081.0287.5793.95100.21106.41112.56118.55124.18129.15133.18136.06137.67137.90136.68133.92129.52123.39115.54106.1795.6984.7474.0264.1655.5448.3142.3937.6133.7430.5727.8925.5423.3621.2519.1216.9514.7512.5910.548.697.095.764.673.793.102.552.121.771.491.271.090.940.810.710.620.550.490.430.390.350.310.280.260.230.21
0.630.700.780.870.981.111.261.431.641.882.182.532.963.484.114.905.867.068.5510.3912.6415.3818.6622.4926.8731.7437.0342.6548.5554.6760.9867.4173.8880.3086.6092.7798.80104.70110.43115.88120.90125.26128.77131.23132.53132.56131.23128.48124.26118.55111.43103.1093.9084.3174.8465.9457.9250.9545.0340.0835.9332.4529.4526.8024.3822.0819.8517.6615.5013.4111.459.668.086.725.584.643.863.232.722.301.961.681.451.261.100.960.850.750.670.600.540.480.440.390.360.330.30
0.830.931.031.151.291.461.651.872.132.442.803.243.764.385.136.057.168.5010.1312.1014.4617.2620.5324.2928.5233.1938.2543.6249.2755.1261.1467.2673.4179.5285.5591.4597.19102.75108.06113.03117.52121.38124.42126.52127.54127.39126.01123.34119.36114.11107.67100.2592.1283.6475.2067.1359.7153.0747.2642.2537.9534.2431.0128.1325.5123.0620.7418.5016.3514.3012.3910.639.067.686.505.504.663.963.372.892.482.151.871.631.431.261.120.990.890.790.710.640.580.530.480.440.40
1.071.191.321.481.651.862.092.362.683.053.494.014.625.346.217.248.479.9411.6913.7616.1919.0222.2725.9530.0534.5439.3844.5249.9155.4961.2267.0372.8778.6884.4190.0195.43100.63105.54110.07114.11117.52120.17121.95122.74122.46121.06118.51114.81110.00104.1997.5590.3282.7775.2067.8761.0054.7249.0944.1239.7535.9132.5129.4726.7024.1321.7219.4517.2815.2513.3511.6110.048.657.436.375.474.714.063.513.052.662.332.041.801.601.421.271.131.020.920.830.750.680.620.570.52
1.351.491.651.842.052.302.582.903.283.724.234.825.526.357.318.459.7911.3613.2015.3517.8320.6723.8927.4931.4635.7840.4145.3250.4655.7761.2166.7372.2777.7783.1988.4693.5598.40102.93107.06110.70113.73116.04117.54118.14117.77116.39113.99110.56106.18100.9494.9888.5181.7574.9268.2461.8855.9750.5645.6941.3337.4333.9430.7827.9025.2522.7720.4518.2716.2314.3412.6011.029.618.357.266.305.484.774.173.653.202.822.492.211.971.761.571.411.271.151.040.950.860.790.720.66
1.651.822.022.242.492.783.113.493.924.435.015.686.467.378.439.6611.1012.7514.6716.8619.3722.2025.3828.8932.7436.9041.3446.0250.9155.9661.1366.3571.5976.7881.8986.8491.6096.10100.28104.05107.32110.02112.05113.32113.77113.34112.00109.75106.60102.6197.8792.5286.7080.6174.4268.3262.4356.8851.7246.9942.6938.8035.2632.0429.0926.3723.8421.4819.2817.2315.3413.5912.0010.569.288.147.146.275.514.854.273.783.352.982.652.372.121.911.721.551.411.281.161.060.970.890.82
1.992.192.422.672.973.303.684.114.605.175.826.567.428.419.5510.8712.3714.1016.0618.3020.8123.6326.7530.1833.9037.9042.1546.6251.2756.0760.9665.9070.8475.7380.5385.1789.6193.7897.61101.05104.02106.42108.21109.29109.62109.16107.88105.78102.8899.2594.9790.1484.8979.3873.7668.1662.7157.5052.6048.0543.8539.9936.4633.2130.2327.4724.9122.5220.3118.2416.3314.5812.9711.5110.209.037.997.076.265.554.924.383.903.493.122.802.522.272.051.861.691.541.401.281.181.080.99
2.352.582.843.143.473.854.274.765.315.936.657.468.399.4510.6612.0413.6115.3917.3919.6422.1624.9428.0031.3434.9338.7842.8547.1151.5456.0860.7165.3870.0374.6379.1283.4687.5991.4494.9798.11100.79102.95104.52105.45105.69105.21104.00102.0599.4096.1092.2187.8483.0978.0972.9667.8162.7657.8853.2448.8844.8041.0237.5334.2931.3028.5225.9423.5521.3219.2417.3215.5613.9312.4611.129.918.837.877.016.265.595.004.484.023.613.262.942.662.412.192.001.821.671.531.401.291.18
2.743.003.303.634.004.424.905.436.036.727.498.379.3610.4811.7513.1914.8016.6218.6520.9023.4026.1429.1432.3835.8539.5543.4447.5051.7156.0160.3964.7969.1773.4877.6981.7385.5689.1392.3795.2497.6799.61101.00101.80101.97101.49100.3598.5596.1293.1189.5885.6181.3076.7572.0567.3262.6358.0653.6849.5145.5841.9038.4735.2732.2929.5226.9424.5422.3020.2218.3016.5214.8813.3812.0210.789.678.677.776.986.265.635.074.574.133.733.383.072.792.542.322.121.951.791.641.511.39
3.143.443.774.144.555.025.536.126.777.518.339.2710.3111.4912.8114.2915.9417.7819.8222.0724.5527.2430.1633.3136.6640.2043.9247.8051.7955.8760.0064.1468.2572.3076.2379.9983.5586.8489.8392.4594.6696.4197.6598.3498.4697.9996.9195.2593.0390.2887.0783.4679.5375.3771.0766.7062.3558.0853.9449.9746.1942.6339.2836.1433.2030.4527.8825.4823.2521.1719.2417.4515.8014.2912.9011.6410.509.478.537.706.956.275.675.144.664.233.843.503.192.922.672.452.252.071.901.751.62
3.573.904.264.675.125.626.196.817.518.309.1810.1611.2512.4713.8315.3517.0318.8820.9223.1625.6028.2431.0834.1337.3640.7644.3148.0051.7855.6459.5463.4467.3071.0974.7678.2681.5684.6187.3589.7591.7693.3494.4595.0595.1394.6893.6892.1590.1187.6084.6781.3877.7973.9870.0265.9961.9457.9554.0450.2846.6643.2339.9736.9034.0131.3028.7626.3824.1522.0820.1518.3616.7015.1713.7712.4911.3210.259.298.427.636.926.285.715.204.734.323.943.613.303.032.782.562.362.182.011.86
4.024.374.775.215.706.246.847.518.269.0910.0111.0312.1613.4214.8216.3518.0519.9121.9424.1626.5529.1431.9034.8437.9541.2144.6148.1151.7055.3559.0362.7066.3269.8773.2976.5579.6182.4284.9587.1588.9890.4191.4191.9491.9991.5590.6289.2287.3585.0582.3779.3676.0872.5868.9465.2061.4457.7054.0250.4547.0043.7040.5537.5634.7432.0729.5727.2125.0022.9421.0219.2317.5616.0314.6113.3112.1111.0210.039.138.317.576.906.295.755.254.804.404.043.713.413.142.892.672.472.282.12
4.474.865.295.766.296.877.518.219.009.8610.8211.8813.0514.3415.7517.3119.0120.8722.8925.0727.4229.9432.6335.4738.4641.5844.8248.1551.5555.0058.4761.9265.3268.6371.8274.8677.6980.3082.6384.6486.3287.6288.5288.9989.0288.6087.7486.4484.7382.6380.1777.4174.4071.1867.8264.3660.8657.3653.9050.5147.2244.0541.0238.1235.3732.7630.3027.9825.8023.7521.8420.0518.3916.8515.4214.1012.8911.7810.769.838.998.227.516.886.305.785.304.874.484.123.803.503.242.992.772.572.39
4.945.365.826.326.887.498.168.919.7210.6311.6212.7113.9015.2116.6518.2119.9121.7623.7625.9028.2130.6633.2636.0038.8741.8644.9548.1151.3454.6057.8761.1164.3067.3970.3773.2075.8378.2380.3882.2483.7784.9685.7786.1986.2085.8185.0183.8282.2480.3178.0675.5372.7669.7966.6863.4760.2156.9353.6750.4747.3444.3141.3938.5935.9233.3830.9728.6926.5424.5222.6220.8419.1817.6416.2014.8813.6512.5211.4810.539.658.868.137.466.866.305.805.344.924.544.203.883.593.333.092.872.66
5.415.866.356.887.478.118.829.5910.4411.3712.3913.5014.7216.0517.4919.0620.7522.5824.5526.6628.9131.2933.8136.4539.2042.0645.0048.0251.0754.1557.2360.2863.2666.1668.9471.5774.0176.2478.2279.9381.3482.4283.1683.5383.5483.1782.4381.3379.8878.1176.0473.7171.1668.4265.5462.5659.5156.4453.3750.3447.3744.4841.6738.9736.3933.9131.5629.3327.2225.2223.3421.5819.9318.3916.9515.6214.3813.2412.1811.2110.319.498.738.047.416.836.305.825.384.974.604.273.963.673.413.172.95
5.896.366.887.448.068.739.4610.2611.1412.0913.1314.2715.5016.8418.2819.8521.5323.3425.2827.3429.5331.8434.2836.8239.4642.1945.0047.8650.7553.6656.5659.4262.2364.9467.5369.9872.2474.3176.1477.7279.0180.0080.6781.0181.0180.6779.9878.9777.6376.0074.1071.9569.5967.0664.3961.6158.7755.8953.0150.1447.3244.5641.8739.2836.7834.3832.0929.9127.8325.8724.0222.2820.6419.1017.6716.3315.0813.9312.8611.8710.9510.119.338.627.967.366.816.305.845.415.024.664.334.023.753.493.25
6.386.877.418.008.649.3310.0910.9211.8212.7913.8515.0016.2417.5819.0320.5822.2524.0325.9327.9530.0832.3234.6737.1239.6542.2644.9347.6550.3953.1455.8758.5661.1963.7266.1568.4270.5372.4574.1475.6076.7977.7078.3178.6278.6278.2977.6676.7275.4973.9972.2370.2568.0765.7363.2460.6658.0055.3052.5949.8847.2044.5742.0039.5037.0934.7732.5530.4228.3926.4724.6422.9221.3019.7718.3417.0115.7614.5913.5112.5111.5810.729.929.198.517.897.316.786.305.855.435.054.714.384.093.813.56
6.867.377.948.559.219.9310.7111.5612.4713.4614.5415.6916.9418.2819.7221.2722.9124.6726.5328.5030.5732.7435.0037.3539.7842.2744.8147.3949.9952.5855.1657.6960.1562.5364.7966.9168.8870.6572.2273.5774.6775.5176.0776.3576.3476.0475.4674.5973.4572.0670.4468.6166.5964.4162.1159.7057.2154.6852.1249.5647.0244.5242.0639.6737.3435.1032.9430.8728.8927.0125.2223.5221.9220.4118.9817.6516.4015.2314.1413.1312.1811.3110.509.749.058.417.817.266.756.295.855.465.094.754.434.143.87
7.347.878.469.099.7710.5111.3112.1713.1014.1115.1916.3517.6018.9420.3721.9023.5225.2427.0628.9830.9933.0835.2737.5239.8542.2344.6547.1049.5552.0154.4356.8159.1361.3563.4665.4467.2768.9270.3871.6372.6473.4273.9374.1974.1873.9073.3672.5671.5170.2268.7267.0265.1563.1360.9858.7356.4154.0351.6249.2046.7944.4142.0639.7737.5335.3733.2831.2729.3427.5025.7424.0722.4921.0019.5918.2617.0115.8414.7513.7212.7711.8811.0610.299.588.928.307.747.216.726.275.865.475.114.784.484.19
7.818.378.979.6210.3211.0811.8912.7713.7114.7215.8116.9818.2219.5520.9722.4824.0725.7627.5329.4031.3533.3735.4737.6439.8742.1444.4446.7649.0951.4153.7055.9458.1160.1962.1764.0265.7267.2668.6169.7770.7171.4271.9072.1472.1371.8771.3670.6269.6568.4667.0765.4963.7661.8759.8757.7755.5953.3551.0848.8046.5144.2542.0139.8137.6635.5833.5631.6129.7327.9326.2224.5823.0221.5520.1518.8317.5916.4215.3314.3013.3412.4411.6010.8210.099.428.798.217.667.166.696.265.865.485.144.814.51
8.288.859.4710.1410.8611.6312.4513.3414.2915.3116.4017.5618.8020.1221.5223.0124.5726.2227.9529.7631.6533.6135.6337.7139.8442.0044.2046.4048.6150.8052.9655.0657.1059.0660.9162.6364.2265.6666.9167.9968.8669.5269.9670.1870.1769.9369.4668.7767.8766.7765.4864.0262.4060.6558.7856.8154.7752.6750.5348.3746.2044.0441.9139.8037.7435.7333.7831.8930.0728.3226.6425.0423.5122.0620.6819.3718.1416.9715.8814.8513.8812.9812.1311.3410.609.919.278.678.117.597.116.666.245.855.495.154.84
123.81 132.07 140.32 148.57
165.08
165.09
140.32
74.29
82.54
90.80
99.05
107.30 115.56
148.57
0.00
8.25
16.51
24.76
33.02
41.27
49.52
57.78
66.03
99.05 107.30 115.56 123.81 132.07
90.80
0.00 8.25 16.51 24.76 33.02 41.27 49.52 57.78 66.03 74.29 82.54
L.W.L+0.10m
13.0m
▽+4.00m
▽‐7.00m
▽‐17.00m
▽‐27.8m
▽‐34.30m
8.0m
上部工
消波ブロック
14.53
▽+5.00m
H1=7.1m
H2=2.4m
ケーソン
▽+2.50m
H3=1.5m
H4=4.9m
165.25(kN/m)
99.745(kN/m)
44.375(kN/m)
16.1m
H4=2.2m
22.0(kN/m)
Ac層
①
②
③
④
⑤
⑥
⑦
⑧
⑨
⑩
⑪
⑫
⑭
⑮
⑯
⑰
⑱
⑲
⑬
⑳
図-8 ブシネスクの弾性応力解を用いて
強度増加量を設定した土質条件
(和歌山下津港本港地区防波堤(外)(1)鉱滓部)
3. 設計津波に対する検討
「設計津波」に対しては構造物で人命・財産を守り切
り、津波来襲後も防波堤の機能を継続して維持する構造
となるよう検討を行った。具体的には「設計津波」に先
行する地震による沈下後の天端高が設計津波より高く、
かつ背後の静穏度が確保できる高さ(現況天端以上)と
なるよう上部工嵩上げ高を設定し、対策断面の沈下前・
後の変動波力に対する安定照査および沈下後の津波波力
による安定照査により断面を設定した。
今回の検討においては、設計津波高より現況天端高が
高いため、沈下後の天端高が現況天端高以上となるよう
嵩上げ高を設定した。この嵩上げにより堤体重量の増加
と波圧受面積が増大し、偏心傾斜荷重の増加に伴う基礎
の支持力不足が想定される。この際、考えられる対策案
として不完全被覆堤である今回の検討断面を完全被覆し、
波圧増大に備えるという案が考えられたが、1.0~2.0m程
度の上部工の嵩上げに対し、消波ブロックを1.0~2.0m程
度嵩上げし、完全被覆をするのは容易ではなく、コスト
が高い。そこで、消波ブロックの積み増しを必要としな
い、嵩上げを行う上部工の港外側を斜めにカットし、水
平波力を鉛直方向への力に変えて偏心傾斜荷重を低減す
る工夫を行った。ただし、この対策工でも基礎の支持力
不足が生じたものについては、港内側のマウンド上にカ
ウンタ盛土を設置することで安定性を確保した。表-1に
沈下量と嵩上げ高さの関係と図-9、10に代表的な「設計
津波」に対する対策断面を示す。
表
-1 沈下量と嵩上げ高さの関係
防波堤
防波堤・区間
現況断面
天端高
(D.L.m)
現況断面
総沈下量
(m)
沈下後
天端高
(D.L.m)
嵩上げ高
(m)
対策断面
天端高
(D.L.m)
対策断面
総沈下量
(m)
沈下後
天端高
(D.L.m)
鉱滓部
5.00
-0.59
4.41
>
4.13
1.00
6.00
-0.68
5.32
>
5.00
SD部
5.00
-0.67
4.33
>
4.11
1.00
6.00
-0.80
5.20
>
5.00
SD部(開口部)
5.00
-0.67
4.33
>
4.11
1.00
6.00
-0.80
5.20
>
5.00
No.0-200
8.00
-0.47
7.53
>
5.91
1.00
9.00
-0.47
8.53
>
8.00
No.0-200(開口部)
8.00
-0.47
7.53
>
5.91
1.00
9.00
-0.47
8.53
>
8.00
No.200-350
8.00
-0.63
7.37
>
5.74
1.00
9.00
-0.61
8.39
>
8.00
No.200-350(開口部)
8.00
-0.65
7.35
>
5.74
1.00
9.00
-0.66
8.34
>
8.00
No.350-450
8.00
-1.62
6.38
>
5.72
2.00
10.00
-1.78
8.22
>
8.00
No.350-450(堤頭部)
8.00
-1.73
6.27
>
5.72
2.00
10.00
-1.89
8.11
>
8.00
発生頻度の高い
津波水位
(D.L.m)
現況断面
天端高
(D.L.m)
和歌山下津港本港地区
防波堤(外)(1)
日高港塩屋地区
防波堤(西)