マニング公式による流速流量表

ベンチフリューム
１．粗度係数 n=0.014（水路工）２．粗度係数 n=0.013
３．粗度係数 n=0.014※粗度係数は、参照する基準によって異なりますので必ず確認してください。

松阪興産株式会社
MATSUSAKA
KOSAN

2020.7版

ベンチフリューム（水路工）マニング（ｍａｎｎｉｎｇ）公式による流速・流量表

V = 1/n × Ｒ2/3 × I1/2
Q=A×V
ここで，

V ： 流速 （m/sec)n ： 粗度係数0.014
R ： 径深 （m) = Ａ/Ｐ
2
A ： 通水断面積 （m )P ： 潤辺 （m）
I ： 水路勾配 （‰) ※1‰（パーミル）＝0.1％
Ｑ ： 流量 （m3/sec)
呼び名
200,250,300
350,400
450,500
550,600
700,800
900,1000

余裕高
50
60
70
80
90
100

1‰(=パーミル）

幅Ｂ
1mm

余裕高
深さＨ
潤辺Ｐ
通水断面積Ａ

1000mm№1
呼び名
幅Ｂ×深さＨ（mm）
2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n1/2
勾配Ｉ（‰）
Ｉ
100.0
75.0
50.0
40.0
35.0
30.0
25.0
20.0
18.0
16.0
14.0
12.0
10.0
9.0
8.0
7.0
6.0
5.5
5.0
4.8
4.6
4.5
4.4
4.2
4.0
3.8
3.5
3.4
3.0
2.8
2.6
2.5
2.4
2.2
2.0
1.8
1.6
1.5
1.4
1.2
1.0
0.8
0.6

0.31620.27390.22360.20000.18710.17320.15810.14140.13420.12650.11830.10950.10000.09490.08940.08370.07750.07420.07070.06930.06780.0671
0.06630.06480.0632
0.0616
0.05920.05830.05480.05290.05100.05000.04900.04690.04470.04240.04000.03870.03740.0346
0.03160.02830.0245200
200×1500.01700.35100.04800.13210.0140V
Ｑ
2.98332.5836
2.10951.88681.76491.63401.4916
1.33411.26571.1933
1.1162
1.0334
0.94340.89490.84380.78930.73070.6996
0.66700.6536
0.63980.63280.62570.61130.5966
0.58150.55810.55000.51670.4992
0.48100.4717
0.46210.44240.42190.40020.37730.36530.35290.32680.29830.26680.23100.05070.04390.03580.03200.03000.02770.02530.02260.02150.02020.01890.01750.01600.01520.01430.01340.01240.01180.01130.01110.01080.01070.01060.01030.01010.00980.00940.00930.00870.00840.00810.00800.00780.00750.00710.00680.00640.00620.00590.00550.00500.00450.0039250
250×175
0.02800.44600.06300.15830.0140V
Ｑ
3.5762
3.09712.52882.26182.11571.95881.78811.59931.51721.4305
1.33811.23881.13091.07281.01150.94610.87600.83870.7996
0.78350.76700.75860.75010.73290.7152
0.69710.66900.65940.6194
0.59840.5766
0.56540.55400.53040.50570.47980.45230.43800.42310.39170.35760.31980.27700.10010.08670.07080.06330.05920.05480.05000.04470.04240.04000.03740.0346
0.03160.03000.02830.02640.02450.02340.02230.02190.02140.02120.02100.02050.02000.01950.01870.01840.01730.01670.01610.01580.01550.01480.01410.01340.01260.01220.01180.01090.01000.00890.0077300
300×200
0.04000.53400.07500.17780.0140V
Ｑ
4.0171
3.47892.84052.54062.37652.20022.00851.79651.7043
1.60681.50301.39151.27031.20511.1362
1.06280.98390.94200.89820.88010.86150.85210.84260.82320.80340.78300.75150.74070.69570.67210.64770.63510.62230.59580.5681
0.53890.5081
0.49190.47530.44000.40170.35930.31110.16060.1391
0.11360.1016
0.09500.08800.08030.07180.0681
0.06420.06010.05560.05080.04820.04540.04250.03930.03760.03590.03520.03440.03400.03370.03290.03210.03130.03000.02960.02780.02680.02590.02540.02480.02380.02270.02150.02030.01960.01900.01760.01600.01430.0124350
350×235
0.05400.61900.08700.19630.0140V
Ｑ
4.43493.84073.13592.80482.62372.42912.2174
1.9833
1.88151.77391.6593
1.5362
1.40241.33041.2543
1.17331.08631.04000.9916
0.9716
0.95110.94070.93020.90880.88690.86450.82960.81770.76810.74210.71510.70120.68700.65780.62710.59500.56090.5431
0.52470.48580.4434
0.3966
0.34350.23940.20730.16930.15140.14160.13110.11970.10700.1016
0.09570.08960.08290.07570.07180.06770.06330.0586
0.0561
0.05350.05240.05130.05070.05020.04900.04780.04660.04470.0441
0.04140.04000.0386
0.03780.03700.03550.03380.03210.03020.02930.02830.02620.02390.02140.0185

№2
呼び名
幅Ｂ×深さＨ(mm)2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n1/2
勾配Ｉ（‰）
Ｉ
100.0
75.0
50.0
40.0
35.0
30.0
25.0
20.0
18.0
16.0
14.0
12.0
10.0
9.0
8.0
7.0
6.0
5.5
5.0
4.8
4.6
4.5
4.4
4.2
4.0
3.8
3.5
3.4
3.0
2.8
2.6
2.5
2.4
2.2
2.0
1.8
1.6
1.5
1.4
1.2
1.0
0.8
0.6

0.31620.27390.22360.20000.18710.17320.15810.14140.13420.12650.11830.10950.10000.09490.08940.08370.07750.07420.07070.06930.06780.0671
0.06630.06480.0632
0.0616
0.05920.05830.05480.05290.05100.05000.04900.04690.04470.04240.04000.03870.03740.0346
0.03160.02830.0245400
400×260
0.07100.71400.09900.21400.0140V
Ｑ
4.83384.1862
3.41803.05722.85972.64762.41692.16172.05081.93351.80861.6745
1.52861.4501
1.3672
1.27891.18401.13361.08081.05901.03671.02541.01390.9906
0.9667
0.94220.90430.89130.83720.80880.77940.76430.74880.71690.68360.64850.61140.59200.57190.52950.48330.43230.37440.34310.29720.24260.21700.20300.18790.17150.15340.14560.13720.12840.11880.10850.10290.09700.09080.08400.08040.07670.07510.07360.07280.07190.07030.0686
0.06680.0642
0.06320.05940.05740.05530.0542
0.05310.05080.04850.04600.04340.04200.0406
0.03750.03430.0306
0.0265450
450×295
0.09100.80900.11200.23240.0140V
Ｑ
5.24824.5451
3.71103.3193
3.10492.87462.62412.34712.22662.0993
1.96371.81801.65961.57441.4844
1.38851.28551.23081.1735
1.14981.1256
1.11331.10081.07551.04961.02300.98180.96770.90900.87820.84620.82980.81300.77840.74220.7041
0.66380.64270.62090.57490.52480.46940.40650.47750.4136
0.33770.30200.28250.26150.23870.21350.20260.19100.1786
0.16540.15100.14320.13500.12630.11690.11200.10670.10460.10240.10130.1001
0.09780.0955
0.09300.08930.08800.08270.07990.07700.07550.07390.07080.06750.06400.06040.05840.05650.05230.04770.0427
0.0369500
500×3200.11200.89700.12500.25000.0140V
Ｑ
5.64694.8903
3.99293.57143.3407
3.09292.82342.52532.39572.2587
2.11281.9561
1.78571.69401.59711.49401.3832
1.3243
1.2626
1.23711.2111
1.19781.1845
1.1572
1.12931.10071.05641.04120.97800.94490.91050.89280.87480.83750.79850.75760.71420.6916
0.66810.61850.56460.50500.4374

0.63240.54770.44720.39990.37410.34640.31620.28280.26830.25290.2366
0.21900.19990.18970.17880.16730.15490.14830.14140.13850.13560.13410.13260.12960.12640.12320.11830.1166
0.10950.10580.10190.09990.09790.09380.08940.08480.07990.07740.07480.0692
0.0632
0.05650.0489550
550×355
0.13600.98800.13800.26700.0140V
Ｑ
6.03195.22384.26523.81493.56853.30383.01592.69752.55912.41272.25692.08951.9074
1.80951.70601.59591.47751.4146
1.34871.32151.29371.27951.2652
1.23611.2063
1.17581.1284
1.1122
1.04471.00930.9726
0.95370.93440.89460.85300.80920.76290.73870.71370.66070.60310.53950.46720.82030.71040.58000.51880.48530.44930.41010.36680.34800.32810.30690.28410.25940.24600.23200.21700.20090.19230.18340.17970.17590.17400.17200.16810.16400.15990.15340.15120.14200.13720.13220.12970.12700.12160.11600.11000.10370.1004
0.09700.08980.08200.07330.0635

№3
呼び名
幅Ｂ×深さＨ(mm)
通水断面積 Ａ（m2)
潤辺 Ｐ（m)
径深 Ｒ（m)2/3
Ｒ
粗度係数 n
勾配Ｉ（‰）
Ｉ1/2
25.0
24.0
23.0
22.0
21.0
20.0
19.0
18.0
17.0
16.0
15.0
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.15810.15490.15170.14830.14490.14140.13780.13420.13040.12650.12250.11830.11400.10950.10490.10000.09490.08940.08370.07750.07070.06320.05480.04470.04360.04240.04120.04000.03870.03740.03610.0346
0.03320.03160.03000.02830.02650.02450.02240.02000.01730.01410.0100600
600×380
0.16201.08300.15000.28230.0140V
Ｑ
3.18833.12393.05812.99092.92212.85172.77952.70542.62922.55072.46972.38592.29912.20892.11492.01651.91301.80361.6871
1.56191.42581.2753
1.10440.90180.87890.85550.83140.80660.78090.75450.72700.69850.66870.63760.60490.57030.53350.49390.45090.40330.34920.28510.2016

0.51650.50600.49540.48450.47330.46190.45020.43820.42590.41320.40000.38650.37240.35780.3426
0.32660.30990.29210.27330.25300.23090.20650.17890.14600.14230.13850.13460.13060.12650.1222
0.11770.11310.10830.1032
0.09790.09230.08640.08000.07300.06530.05650.04610.0326700
700×4400.22201.26700.17500.31290.0140V
Ｑ
3.53343.46203.38913.31463.23843.16043.08042.99822.91372.82672.73702.64422.54802.44802.34382.23472.12001.99881.86971.73101.5802
1.41331.22400.9994
0.9741
0.94810.92140.89390.86550.83610.80570.77410.74110.70660.6704
0.63200.59120.54740.49970.44690.38700.31600.22340.78440.76850.75230.73580.71890.7016
0.68380.6656
0.64680.62750.6076
0.58700.5656
0.54340.52030.49610.47060.44370.41500.38420.35080.3137
0.27170.22180.21620.21040.2045
0.19840.19210.18560.17880.17180.16450.15680.14880.14030.13120.12150.11090.09920.08590.07010.0495800
800×4900.29101.45300.20000.34200.0140V
Ｑ
3.8624
3.78443.70473.6232
3.53993.4546
3.3671
3.27733.18503.08992.99182.89032.78522.67592.56202.44282.31742.18492.04381.8922
1.7273
1.54491.33791.09241.06481.0364
1.0072
0.97710.94610.91400.88070.84620.81010.77240.73280.69090.64630.59830.54620.48850.42310.34540.2442

1.12391.1012
1.07801.05431.03011.00520.97980.9536
0.92680.89910.8706
0.84100.81040.77860.74550.71080.67430.63580.59470.5506
0.50260.44950.38930.31780.30980.30150.29300.28430.27530.26590.25620.24620.23570.22470.21320.20100.18800.17410.15890.14210.12310.10050.0710900
900×550
0.36901.63600.22600.37100.0140V
Ｑ
4.19034.10564.01923.93083.84043.74793.65303.55563.45543.3522
3.24583.13573.02162.90312.77952.65012.51412.37042.21732.05281.87391.67611.45151.1852
1.1551
1.1243
1.09271.06001.0264
0.9916
0.95550.91800.87890.83800.79500.74950.70110.64910.59260.53000.45900.37470.26501.5462
1.51491.48301.4504
1.41711.38291.34791.31201.27501.23691.19771.15701.11491.0712
1.0256
0.97780.92770.87460.81810.75740.69140.61840.53560.43730.42620.41480.40320.39110.37870.36590.35250.33870.32430.30920.29330.27650.25870.23950.2186
0.19550.16930.1382
0.0977

№4
呼び名
幅Ｂ×深さＨ(mm)
通水断面積 Ａ（m2)
潤辺 Ｐ（m)
径深 Ｒ（m)2/3
Ｒ
粗度係数 n
勾配Ｉ（‰）
Ｉ1/2
25.0
24.0
23.0
22.0
21.0
20.0
19.0
18.0
17.0
16.0
15.0
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.15810.15490.15170.14830.14490.14140.13780.13420.13040.12650.12250.11830.11400.10950.10490.10000.09490.08940.08370.07750.07070.06320.05480.04470.04360.04240.04120.04000.03870.03740.03610.0346
0.03320.03160.03000.02830.02650.02450.02240.02000.01730.01410.01001000
1000×600
0.45801.82700.25100.39790.0140V
Ｑ
4.49394.40314.31044.2156
4.11874.01943.91773.81323.70573.59513.48093.36293.2406
3.11342.98092.84212.69632.54212.37792.20152.00971.79751.55671.27101.23881.20581.17181.13681.10071.06341.02470.98450.9426
0.89870.85260.80380.75190.69610.63550.56840.49220.40190.28422.05822.01661.97411.93071.88631.84081.79431.7464
1.6972
1.64651.5942
1.5402
1.48411.42591.36521.3016
1.23491.1642
1.08901.00820.92040.82320.71290.58210.56730.5522
0.53660.52060.5041
0.48700.46930.45090.43170.41160.39040.36810.34430.31880.29100.26030.22540.18400.1301

ベンチフリューム

マニング（ｍａｎｎｉｎｇ）公式による流速・流量表

V = 1/n × Ｒ2/3 × I1/2
Q=A×V
ここで，

V ： 流速 （m/sec)n ： 粗度係数0.013

R ： 径深 （m) = Ａ/Ｐ
2
A ： 通水断面積 （m )P ： 潤辺 （m）
I ： 水路勾配 （‰) ※1‰（パーミル）＝0.1％
Ｑ ： 流量 （m3/sec)※8割水深(0.8H)で計算
1‰(=パーミル）

幅Ｂ

1mm

深さＨ
潤辺Ｐ
通水断面積Ａ

1000mm№1
呼び名
幅Ｂ×深さＨ（mm）
2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n1/2
勾配Ｉ（‰）
Ｉ
100.0
75.0
50.0
40.0
35.0
30.0
25.0
20.0
18.0
16.0
14.0
12.0
10.0
9.0
8.0
7.0
6.0
5.5
5.0
4.8
4.6
4.5
4.4
4.2
4.0
3.8
3.5
3.4
3.0
2.8
2.6
2.5
2.4
2.2
2.0
1.8
1.6
1.5
1.4
1.2
1.0
0.8
0.6

0.31620.27390.22360.20000.18710.17320.15810.14140.13420.12650.11830.10950.10000.09490.08940.08370.07750.07420.07070.06930.06780.0671
0.06630.06480.0632
0.0616
0.05920.05830.05480.05290.05100.05000.04900.04690.04470.04240.04000.03870.03740.0346
0.03160.02830.0245200
200×150
0.02150.39080.05510.14480.0130V
Ｑ
3.52223.05032.49062.22762.08381.9292
1.7611
1.5752
1.4943
1.40891.31791.2201
1.11381.0566
0.99620.93190.86270.82600.7876
0.77160.75540.74710.73880.72180.70440.68660.65890.64940.61000.58930.56790.55690.5456
0.52240.49810.47250.44550.43130.41670.38580.35220.31500.27280.07580.0656
0.05360.04790.04480.04150.03790.03390.03210.03030.02830.02620.02390.02270.02140.02000.01850.01770.01690.01660.01620.01600.01590.01550.01510.01470.01410.01390.01310.01260.01220.01190.01170.01120.01070.01010.00950.00920.00890.00830.00750.00670.0058250
250×175
0.03180.4761
0.06680.16460.0130V
Ｑ
4.00473.46822.83172.53282.36922.19342.00231.79091.69901.60181.4984
1.3872
1.26641.2014
1.13271.05950.98090.93910.89540.87730.85890.84950.84000.82070.80090.78060.74920.73840.69360.67010.6457
0.63320.6204
0.59390.56630.53720.50650.49040.47380.43860.40040.35810.31020.12730.11020.09000.08050.07530.06970.0636
0.05690.05400.05090.04760.04410.04020.03820.03600.0336
0.03110.02980.02840.02780.02730.02700.02670.02600.02540.02480.02380.02340.02200.02130.02050.02010.01970.01880.01800.01700.01610.01550.01500.01390.01270.01130.0098300
300×200
0.0436
0.55450.07860.18350.0130V
Ｑ
4.46343.8654
3.15612.82292.64062.44472.23171.9961
1.8936
1.78531.67001.5461
1.4114
1.33901.26241.18091.0933
1.04670.99800.97780.95730.94680.93620.91470.89260.87000.83500.82300.77300.74680.71970.70570.6914
0.66200.63120.59880.56450.5466
0.5281
0.48890.44630.39920.34570.19460.16850.13760.12300.11510.10650.09730.08700.08250.07780.07280.06740.06150.05830.05500.05140.04760.0456
0.04350.0426
0.04170.04120.04080.03980.03890.03790.03640.03580.03370.03250.03130.03070.03010.02880.02750.02610.02460.02380.02300.02130.01940.01740.0150350
350×235
0.05930.64480.09200.20380.0130V
Ｑ
4.95734.29313.50533.13522.93282.71522.4786
2.21692.1032
1.98291.85481.7172
1.56761.4872
1.4021
1.3115
1.2142
1.1625
1.10841.08601.0632
1.05161.03981.01590.99140.96630.92740.91400.85860.82950.79930.78380.76790.73520.70100.66500.62700.60710.58650.54300.49570.44330.38390.29390.25450.20780.18590.17390.16100.14690.13140.12470.11750.10990.10180.09290.08810.08310.07770.07200.06890.06570.06430.06300.06230.06160.06020.05870.05730.05490.05420.05090.04910.04730.04640.04550.04350.04150.03940.03710.03600.03470.03210.02930.02620.0227

№2
呼び名
幅Ｂ×深さＨ(mm)2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n1/2
勾配Ｉ（‰）
Ｉ
100.0
75.0
50.0
40.0
35.0
30.0
25.0
20.0
18.0
16.0
14.0
12.0
10.0
9.0
8.0
7.0
6.0
5.5
5.0
4.8
4.6
4.5
4.4
4.2
4.0
3.8
3.5
3.4
3.0
2.8
2.6
2.5
2.4
2.2
2.0
1.8
1.6
1.5
1.4
1.2
1.0
0.8
0.6

0.31620.27390.22360.20000.18710.17320.15810.14140.13420.12650.11830.10950.10000.09490.08940.08370.07750.07420.07070.06930.06780.0671
0.06630.06480.0632
0.0616
0.05920.05830.05480.05290.05100.05000.04900.04690.04470.04240.04000.03870.03740.0346
0.03160.02830.0245400
400×260
0.07550.72990.10340.22030.0130V
Ｑ
5.35884.64083.7892
3.3892
3.17032.93512.67942.39652.27352.14352.00501.8563
1.6946
1.60761.51571.41781.31261.2567
1.1982
1.17401.14931.1367
1.12401.0982
1.07171.04461.00250.98810.92810.89670.86400.84730.83010.79480.75780.71890.67780.65630.63400.58700.53580.47930.41500.40450.35030.28600.25580.23930.22160.20220.18090.17160.16180.15130.14010.12790.12130.11440.10700.0991
0.09480.09040.08860.08670.08580.08480.08290.08090.07880.07560.07460.07000.06770.0652
0.06390.06260.06000.05720.05420.05110.04950.04780.04430.04040.03610.0313450
450×295
0.09690.83070.11660.23870.0130V
Ｑ
5.80575.02784.1052
3.67183.43473.17992.90282.59632.46312.32222.17222.0111
1.83591.74171.64211.53601.4221
1.3615
1.2981
1.27191.24511.23151.21781.18981.16111.13171.08611.07051.00550.97140.93610.91790.89940.86110.82100.77890.73430.71100.68690.63590.58050.51920.44970.56250.48710.39770.3557
0.33280.30810.28120.25150.23860.22500.21040.19480.17780.16870.15910.14880.13780.13190.12570.12320.12060.11930.11800.11520.11250.10960.10520.1037
0.09740.09410.09070.08890.08710.08340.07950.07540.0711
0.06880.0665
0.0616
0.05620.05030.0435500
500×3200.11680.90910.12850.25460.0130V
Ｑ
6.19425.36444.38003.9176
3.66453.3927
3.09712.77012.62802.47772.31762.14571.95881.8582
1.75201.63881.5172
1.45261.38501.35711.32851.31401.2993
1.26941.23881.2074
1.15881.1421
1.07281.03650.99880.97940.9596
0.91870.87600.83100.78350.75860.73290.67850.61940.55400.47980.72340.62650.51150.45750.42800.39620.36170.32350.30690.28930.27060.25060.22870.21700.20460.19140.17720.16960.16170.15850.15510.15340.15170.14820.14460.14100.13530.13330.12530.12100.1166
0.11430.11200.10730.10230.09700.09150.08860.08560.07920.07230.0647
0.0560550
550×355
0.1422
1.00600.14140.27140.0130V
Ｑ
6.6022
5.71764.66844.17563.90593.61613.30112.95252.80102.64082.47032.28702.08781.9806
1.86731.74671.6172
1.5483
1.4762
1.4464
1.41601.40051.38481.35301.3204
1.28701.23511.2173
1.1435
1.10471.06451.04391.02280.97920.93360.88570.83510.8086
0.78110.72320.66020.59050.51140.93880.81300.66380.59370.55540.5142
0.46940.41980.39830.37550.35120.32520.29680.28160.26550.24830.22990.22010.20990.20560.20130.19910.19690.19230.18770.18300.17560.17310.16260.15700.15130.14840.14540.13920.13270.12590.11870.11490.11100.10280.09380.08390.0727

№3
呼び名
幅Ｂ×深さＨ(mm)
通水断面積 Ａ（m2)
潤辺 Ｐ（m)
径深 Ｒ（m)2/3
Ｒ
粗度係数 n
勾配Ｉ（‰）
Ｉ1/2
25.0
24.0
23.0
22.0
21.0
20.0
19.0
18.0
17.0
16.0
15.0
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.15810.15490.15170.14830.14490.14140.13780.13420.13040.12650.12250.11830.11400.10950.10490.10000.09490.08940.08370.07750.07070.06320.05480.04470.04360.04240.04120.04000.03870.03740.03610.0346
0.03320.03160.03000.02830.02650.02450.02240.02000.01730.01410.0100600
600×380
0.16601.09120.15210.28490.0130V
Ｑ
3.4656
3.39553.32403.25103.1762
3.09973.02122.94062.85782.77242.68442.59342.49902.40102.29882.19182.07931.9604
1.83381.69771.54981.38621.20050.98020.95540.92990.90370.87670.84880.82010.79020.75920.72690.69310.65750.61990.57990.53680.49010.43830.37960.30990.21910.5752
0.5636
0.55170.5396
0.52720.51450.50150.48810.47430.46020.44560.43050.41480.39850.3816
0.36380.34510.32540.30440.28180.25720.23010.19920.16270.15850.15430.15000.14550.14090.13610.13110.12600.12060.11500.10910.10290.09620.08910.08130.07270.06300.05140.0363700
700×4400.22571.27050.1776
0.31600.0130V
Ｑ
3.84283.76523.68593.60493.52203.43713.35013.2607
3.16893.07422.97662.87572.77112.66242.54902.43042.30572.17382.0334
1.8826
1.71851.53711.3312
1.08691.05941.03111.00200.9721
0.94130.90930.87630.84190.80600.76850.72910.68740.64300.59530.54340.48600.42090.34370.24300.86730.84980.83190.8136
0.79490.77570.75610.73590.7152
0.69380.67180.64900.62540.60090.57530.54850.52030.49060.45890.42490.38780.34690.30040.24530.23910.23270.22610.21940.21240.20520.19770.19000.18190.17340.16450.15510.14510.13430.1226
0.1096
0.09490.07750.0548800
800×4900.2873
1.43690.19990.34190.0130V
Ｑ
4.15814.0741
3.98833.90073.81103.71913.62503.52833.42893.32653.22093.11162.99842.88082.75822.62982.49482.35222.20022.03701.85951.6632
1.4404
1.1761
1.1463
1.11571.0843
1.05191.01850.98400.94820.91100.87220.8316
0.78890.74380.69570.6441
0.58800.52590.45550.37190.26291.1946
1.17041.14581.1206
1.09491.06841.04141.0136
0.98510.95570.92530.89390.86140.8276
0.79240.75550.71670.6757
0.63210.58520.53420.47780.41380.33780.32930.32050.31150.30220.29260.28270.27240.26170.25050.23890.2266
0.2136
0.19980.18500.16890.15100.13080.10680.0755900
900×550
0.36351.61620.22490.36980.0130V
Ｑ
4.49804.40714.31434.21944.12244.0231
3.92123.81663.7091
3.59843.48413.36593.2435
3.11632.98362.84472.69882.54442.38012.20352.0115
1.7992
1.5581
1.27221.24001.20691.17291.13791.10171.06441.02570.9854
0.94350.89960.85340.80460.7526
0.69680.6361
0.56890.49270.40230.2844

1.63501.60191.5682
1.53371.4984
1.46231.42531.3873
1.3482
1.30801.2664
1.2235
1.17901.13271.08451.03400.98100.92480.86510.80090.73110.65400.56630.46240.45070.43870.42630.41360.40040.38690.37280.3581
0.34290.32700.31020.29240.27350.25320.23120.20670.17900.14620.1033

№4
呼び名
幅Ｂ×深さＨ(mm)
通水断面積 Ａ（m2)
潤辺 Ｐ（m)
径深 Ｒ（m)2/3
Ｒ
粗度係数 n
勾配Ｉ（‰）
Ｉ1/2
25.0
24.0
23.0
22.0
21.0
20.0
19.0
18.0
17.0
16.0
15.0
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.15810.15490.15170.14830.14490.14140.13780.13420.13040.12650.12250.11830.11400.10950.10490.10000.09490.08940.08370.07750.07070.06320.05480.04470.04360.04240.04120.04000.03870.03740.03610.0346
0.03320.03160.03000.02830.02650.02450.02240.02000.01730.01410.01001000
1000×600
0.44191.78650.24740.39410.0130V
Ｑ
4.7932
4.69634.59744.49644.39304.28714.1786
4.0671
3.9525
3.83453.71283.58693.45643.32083.17943.03142.87592.71142.53632.34812.14351.9172
1.66041.35571.3213
1.28611.24991.2125
1.17401.1342
1.09301.05011.00540.95860.90940.85740.80200.74250.67780.60620.52500.42870.30312.11812.07522.03151.98691.9412
1.8944
1.8465
1.7972
1.7466
1.69441.6406
1.58501.5273
1.46741.40491.33951.2708
1.19811.12071.0376
0.94720.84720.73370.59900.58380.56830.55230.53580.51870.5012
0.48290.46400.44420.42360.40180.37880.35440.32810.29950.26780.23190.18940.1339

ベンチフリューム

マニング（ｍａｎｎｉｎｇ）公式による流速・流量表

V = 1/n × Ｒ2/3 × I1/2
Q=A×V
ここで，

V ： 流速 （m/sec)n ： 粗度係数0.014

R ： 径深 （m) = Ａ/Ｐ
2
A ： 通水断面積 （m )P ： 潤辺 （m）
I ： 水路勾配 （‰) ※1‰（パーミル）＝0.1％
Ｑ ： 流量 （m3/sec)※8割水深(0.8H)で計算
1‰(=パーミル）

幅Ｂ

1mm

深さＨ
潤辺Ｐ
通水断面積Ａ

1000mm№1
呼び名
幅Ｂ×深さＨ（mm）
2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)2/3
Ｒ
粗度係数 n1/2
勾配Ｉ（‰）
Ｉ
100.0
75.0
50.0
40.0
35.0
30.0
25.0
20.0
18.0
16.0
14.0
12.0
10.0
9.0
8.0
7.0
6.0
5.5
5.0
4.8
4.6
4.5
4.4
4.2
4.0
3.8
3.5
3.4
3.0
2.8
2.6
2.5
2.4
2.2
2.0
1.8
1.6
1.5
1.4
1.2
1.0
0.8
0.6

0.31620.27390.22360.20000.18710.17320.15810.14140.13420.12650.11830.10950.10000.09490.08940.08370.07750.07420.07070.06930.06780.0671
0.06630.06480.0632
0.0616
0.05920.05830.05480.05290.05100.05000.04900.04690.04470.04240.04000.03870.03740.0346
0.03160.02830.0245200
200×150
0.02150.39080.05510.14480.0140V
Ｑ
3.27062.83252.31272.06851.93491.7914
1.6353
1.46261.38761.3082
1.22371.13301.03420.98120.92500.86530.80110.76700.73130.71650.70140.69380.68600.67020.65410.63750.61180.60300.56650.5472
0.52730.51710.50660.4851
0.46250.43880.41370.40050.38690.35820.32700.29250.25330.07040.06090.04970.04450.0416
0.03850.03520.03140.02980.02810.02630.02430.02220.02110.01990.01860.01720.01650.01570.01540.01510.01490.01470.01440.01400.01370.01310.01290.01210.01170.01130.01110.01090.01040.00990.00940.00890.00860.00830.00770.00700.00620.0054250
250×175
0.03180.4761
0.06680.16460.0140V
Ｑ
3.71863.22042.62952.35192.20002.03681.8593
1.66301.57771.4874
1.3914
1.2881
1.17591.1156
1.05180.98380.91080.87210.83150.81470.79750.78880.78000.76210.74370.72490.69570.68560.64400.62220.5996
0.58790.57600.55150.52590.49890.47030.45540.44000.40730.37180.3326
0.28800.11820.10240.08360.07470.06990.06470.0591
0.05280.05010.04720.04420.04090.03730.03540.03340.03120.02890.02770.02640.02590.02530.02500.02480.02420.02360.02300.0221
0.02180.02040.01970.01900.01860.01830.01750.01670.01580.01490.01440.01390.01290.01180.01050.0091

300
300×200
0.0436
0.55450.07860.18350.0140V
Ｑ
4.1446
3.58932.93072.62132.45202.27012.0723
1.85351.7584
1.65781.55071.43571.31061.2433
1.1722
1.09651.0152
0.97200.92670.90800.88890.87920.86930.84930.82890.80790.77530.76420.71780.69350.66830.65530.64200.6147
0.58610.55600.52420.50760.49040.45400.41440.37070.32100.18070.15640.12770.11420.10690.09890.09030.08080.07660.07220.0676
0.06250.0571
0.05420.05110.04780.04420.04230.04040.03950.03870.03830.03790.03700.03610.03520.03380.03330.03120.03020.02910.02850.02790.02680.02550.02420.02280.0221
0.02130.01970.01800.01610.0139350
350×235
0.05930.64480.09200.20380.0140V
Ｑ
4.60323.98653.25492.91132.72332.52122.30162.0586
1.95291.8412
1.72231.59461.45561.38091.30191.21791.12751.07951.02931.00850.9872
0.97640.9655
0.94330.9206
0.89730.86110.84870.79730.77020.74220.72780.71310.68270.65090.61750.5822
0.56370.54460.50420.46030.41170.35650.27290.23630.19300.17260.16140.14950.13640.12200.11580.10910.1021
0.09450.08630.08180.07720.0722
0.06680.06400.06100.05980.05850.05790.05720.05590.05450.05320.05100.05030.04720.04560.04400.0431
0.04220.04040.03850.0366
0.03450.03340.03220.02980.02720.02440.0211

№2
呼び名
幅Ｂ×深さＨ(mm)
通水断面積 Ａ（m2)
潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n1/2
勾配Ｉ（‰）
Ｉ
100.0
75.0
50.0
40.0
35.0
30.0
25.0
20.0
18.0
16.0
14.0
12.0
10.0
9.0
8.0
7.0
6.0
5.5
5.0
4.8
4.6
4.5
4.4
4.2
4.0
3.8
3.5
3.4
3.0
2.8
2.6
2.5
2.4
2.2
2.0
1.8
1.6
1.5
1.4
1.2
1.0
0.8
0.6

0.31620.27390.22360.20000.18710.17320.15810.14140.13420.12650.11830.10950.10000.09490.08940.08370.07750.07420.07070.06930.06780.0671
0.06630.06480.0632
0.0616
0.05920.05830.05480.05290.05100.05000.04900.04690.04470.04240.04000.03870.03740.0346
0.03160.02830.0245400
400×260
0.07550.72990.10340.22030.0140V
Ｑ
4.97604.30933.5186
3.1471
2.94382.72552.48802.22532.11111.9904
1.86181.72371.57351.49281.4074
1.3165
1.2188
1.16691.11261.0902
1.0672
1.05551.04371.01970.99520.97000.93090.91750.86180.83260.80230.78670.77080.73800.70370.66760.62940.6094
0.58870.54510.49760.44500.38540.37560.32530.2656
0.2376
0.22220.20570.18780.16800.15930.15020.14050.13010.11870.11270.10620.09930.09200.08810.08400.08230.08050.07960.07870.07690.07510.07320.07020.06920.06500.06280.06050.05930.05810.0557
0.05310.05040.04750.04600.04440.04110.03750.03350.0290450450×295
0.09690.83070.11660.23870.0140V
Ｑ
5.39104.66873.81203.4095
3.18932.95272.69552.41092.28722.15642.0171
1.86751.70471.6173
1.52481.42631.32051.26431.20541.18111.1562
1.14361.13081.10481.0782
1.05091.00850.99400.93370.90200.86920.85230.83510.7996
0.76240.72320.68190.6602
0.63780.59050.5391
0.48210.41750.52230.45230.36930.33030.30900.28610.26110.23360.22160.20890.19540.18090.16510.15670.14770.13820.12790.12250.11680.11440.11200.11080.10950.10700.10440.10180.0977
0.09630.09040.08740.08420.08250.08090.07740.07380.07000.06600.06390.06180.05720.05220.04670.0404500
500×3200.11680.90910.12850.25460.0140V
Ｑ
5.75184.9812
4.0671
3.63773.40283.15042.87592.57232.44032.30072.1521
1.9924
1.81881.72551.62681.52171.40891.34891.28611.26011.23361.22011.20651.17871.1503
1.1212
1.07601.06050.99620.96240.92740.90940.89100.85310.81340.77160.72750.70440.68050.63000.57510.51440.44550.67180.58180.47500.42480.39740.36790.33590.30040.28500.26870.25130.23270.21240.20150.19000.17770.16450.15750.15020.14710.14400.14250.14090.13760.13430.13090.12560.12380.11630.1124
0.10830.10620.10400.0996
0.09500.09010.08490.08220.07940.07350.06710.06000.0520550
550×355
0.1422
1.00600.14140.27140.0140V
Ｑ
6.13065.30924.33503.87733.62693.35783.06532.74162.60102.45222.29382.12371.9386
1.83911.73401.62201.50161.43771.37081.34311.31481.30051.28591.25641.2261
1.19501.14691.1304
1.06181.02580.98850.96930.94970.90930.86700.82250.77540.75080.72530.67150.61300.54830.47480.87170.75490.61640.55130.51570.47740.43580.38980.36980.34870.32610.30190.2756
0.26150.24650.2306
0.21350.20440.19490.19090.18690.18490.18280.17860.17430.16990.16300.16070.15090.14580.14050.13780.13500.12930.12320.11690.11020.10670.1031
0.09540.08710.07790.0675

№3
呼び名
幅Ｂ×深さＨ(mm)2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n
勾配Ｉ（‰）
Ｉ1/2
25.0
24.0
23.0
22.0
21.0
20.0
19.0
18.0
17.0
16.0
15.0
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.15810.15490.15170.14830.14490.14140.13780.13420.13040.12650.12250.11830.11400.10950.10490.10000.09490.08940.08370.07750.07070.06320.05480.04470.04360.04240.04120.04000.03870.03740.03610.0346
0.03320.03160.03000.02830.02650.02450.02240.02000.01730.01410.0100600
600×380
0.16601.09120.15210.28490.0140V
Ｑ
3.21803.15303.08663.01882.94942.87832.80542.73062.65362.57442.49272.40812.32052.22952.13462.03521.93081.82041.70281.57651.43911.2872
1.11470.91020.88710.86340.83910.8141
0.78820.76150.73380.70500.67500.64360.61050.5756
0.53840.49850.45510.40700.35250.28780.20350.5341
0.52330.51230.5011
0.48960.47770.46560.45320.44040.42730.41370.39970.38520.37000.35430.33780.32050.30210.2826
0.26160.23880.21360.18500.15100.14720.14330.13920.13510.13080.12640.12180.11700.11200.10680.10130.09550.08930.08270.07550.06750.05850.04770.0337700
700×4400.22571.27050.1776
0.31600.0140V
Ｑ
3.56833.49623.4226
3.34743.2704
3.19163.11083.02782.94252.85472.76402.67032.57312.47222.36692.25682.14102.0185
1.8882
1.74811.59581.4273
1.23611.00920.98370.95740.93050.90270.87400.84440.81370.78170.74850.7136
0.67700.63830.59710.55280.50460.45130.39080.31910.22560.80530.78900.77240.75550.73810.72030.70210.68330.66410.64430.62380.60260.58070.55790.53420.50930.48320.45550.42610.39450.3601
0.32210.27890.22770.22200.21600.21000.2037
0.19720.19050.18360.17640.16890.16100.15270.14400.13470.12470.11380.10180.08820.07200.0509800
800×4900.2873
1.43690.19990.34190.0140V
Ｑ
3.8611
3.78313.70343.62203.53883.45353.36603.2762
3.18393.08892.99082.88942.78432.67502.56122.44202.31662.18412.0431
1.89151.72671.5444
1.3375
1.09201.06441.03601.00680.97680.94570.91370.88040.84590.80990.77220.73260.69070.64600.59810.54600.48840.42290.34530.2442

1.1092
1.08681.06391.04061.0166
0.9921
0.96700.94120.91470.88740.85920.83010.79990.76850.73580.70150.66550.6274
0.58690.5434
0.49600.44370.38420.31370.30580.29760.28920.2806
0.2716
0.26250.25290.24300.23260.22180.2104
0.19840.18550.17180.15680.14030.12140.09920.0701900
900×550
0.36351.61620.22490.36980.0140V
Ｑ
4.1767
4.09234.0061
3.9181
3.82803.73573.6411
3.54403.4442
3.34133.2352
3.12553.01182.89372.77052.64152.50602.36272.21012.0461
1.86781.67061.44681.1813
1.15141.12071.08911.05661.02300.98830.95240.91500.87610.83530.79240.7471
0.69880.64700.5906
0.52830.45750.37350.26411.5182
1.48751.4562
1.4242
1.3914
1.35791.32351.2882
1.25191.2145
1.17591.1361
1.09471.05181.00700.96010.91090.85880.80330.74370.67890.60720.52590.42940.41850.40730.39580.38400.37180.3592
0.3461
0.3326
0.31840.3036
0.28800.27150.25400.23510.2146
0.19200.16630.1357
0.0960

№4
呼び名
幅Ｂ×深さＨ(mm)2
通水断面積 Ａ（m )潤辺 Ｐ（m)
径深 Ｒ（m)Ｒ2/3
粗度係数 n
勾配Ｉ（‰）
Ｉ1/2
25.0
24.0
23.0
22.0
21.0
20.0
19.0
18.0
17.0
16.0
15.0
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.15810.15490.15170.14830.14490.14140.13780.13420.13040.12650.12250.11830.11400.10950.10490.10000.09490.08940.08370.07750.07070.06320.05480.04470.04360.04240.04120.04000.03870.03740.03610.0346
0.03320.03160.03000.02830.02650.02450.02240.02000.01730.01410.01001000
1000×600
0.44191.78650.24740.39410.0140V
Ｑ
4.45084.36094.26904.17524.07923.98093.88013.77663.67023.56063.44763.3307
3.20953.08362.95232.81492.67052.51772.35512.18041.99041.7803
1.54181.25881.22701.19421.16061.12591.0902
1.0532
1.01490.97510.93360.89010.8444
0.79610.74470.68950.62940.56290.48750.39800.2814

1.96681.92701.8864
1.84501.80251.75911.7146
1.66881.62181.5734
1.52341.47181.4182
1.36261.30461.24391.18001.11251.04070.96350.87950.78670.68130.55620.5422
0.52770.51280.49750.48170.46540.44840.43080.41250.39330.37310.35170.32900.3046
0.27810.24870.21540.17580.1243