item unit qty qty qty qty qtyh = m 3.03 2.74 2.42 2.07 1.65A = m 113.8523 100.969 87.241 72.81225 56.30625O = m 46.31705 44.7553515715 43.0321 41.14729 38.88552R=A/O= m 2.46 2.26 2.03 1.77 1.45k= 0.4 0.4 0.4 0.4 0.4C=18log(12*R/k) 33.63 32.96 32.12 31.05 29.49i=dh/dl 0.01 0.01 0.01 0.01 0.01

m/s 5.27 4.95 4.58 4.13 3.55

Q=v*A= 600 500 400 301 200

m 4.45 3.99 3.49 2.94 2.29

m 37.5

Q Koef h Energy Critical depth Conj. Conj. Conj.diatas weir v depth energy

m m m m/s m m600 1.164 4.02 378.02 2.97 5.387205500 1.3 2.63400 1.29 2.26300 1.27 1.87200 1.23 1.43100 1.16 0.9

50 1.08 0.5725 1 0.3611 0.9 0.21

Q Koef H1 h1 Energy Critical depth Conj. Conj. Conj.diatas weir diatas weir v depth energy

m m m m m/s m m600 1.28725 3.76 3.48 377.76 2.97500 0 2.63400 0 2.26300 0 1.87200 0 1.43100 0 0.9

50 0 0.5725 0 0.3611 0 0.21

v=C*(R*i)0.5=

m3/s

H1=h+V2/2g=

Beff=

m3/s

m3/s

2/31.3/2...3/2 HgBCdQ

3/2

3/2...3/21

gBCd

QH

iwacoQ Koef H1 h1 Energy Critical depth Conj. Conj. Conj.

energy diatas weir energy

m m m m m/s m m600 1.99 4.02 3.48 378.02 2.97 9.91 1.61 377.62500 2.05 3.49 377.49 2.63 9.65 1.38 377.13400 2.09 2.97 376.97 2.26 9.38 1.14 376.62300 2.14 2.41 376.41 1.87 9.08 0.88 376.08250 2.19 2.1 376.1 1.65 8.91 0.75 375.8200 2.23 1.79 375.79 1.43 8.74 0.61 375.5100 2.36 1.08 375.08 0.9 8.33 0.32 374.86

50 2.4 0.68 374.68 0.57 8.1 0.16 374.525 2.46 0.42 374.42 0.36 7.94 0.08 374.2911 2.46 0.24 374.24 0.21 7.82 0.04 374.16

5 0.124 0.11

3.5 0.13 0.09

InfraQ Koef H1 h1 Energy Critical depth Conj. Conj. Conj.

energy Water level energy

m m m m m/s m m600 1.99 4.02 3.48 378.02 2.97 9.91 1.61 377.62500 2.05 3.49 377.49 2.63 9.65 1.38 377.13400 2.09 2.97 376.97 2.26 9.38 1.14 376.62300 2.14 2.41 376.41 1.87 9.08 0.88 376.08250 2.19 2.1 376.1 1.65 8.91 0.75 375.8200 2.23 1.79 375.79 1.43 8.74 0.61 375.5100 2.36 1.08 375.08 0.9 8.33 0.32 374.86

50 2.4 0.68 374.68 0.57 8.1 0.16 374.525 2.46 0.42 374.42 0.36 7.94 0.08 374.2911 2.46 0.24 374.24 0.21 7.82 0.04 374.16

5 0.124 0.11

3.5 0.13 0.09

v1 depth,y1

m3/s

v1 depth,y1

m3/s

qty qty qty qty1.13 0.77 0.53 0.34 1.87

37.09225 24.58225 16.60225 10.489 64.84225 112.536.08524 34.14658 32.85414 31.83096 40.07026 8

1.03 0.72 0.51 0.33 1.620.4 0.4 0.4 0.4 0.4

26.82 24.02 21.32 17.92 30.360.01 0.01 0.01 0.01 0.01

2.72 2.04 1.52 1.03 3.86

101 50 25 11 250

1.51 0.98 0.65 0.39 2.63

Froude Hydr jump Tailwatersequent depth depth

m m H1/r Co p/H1 C1 p/H1 C22.966667 1.39 0.674157 0.93 0.674157 1.005 1.299164

2.66 1.38 0.75188 0.94 0.75188 1.0052.326667 1.35 0.859599 0.95 0.859599 1.004

1.96 1.32 1.020408 0.96 1.020408 1.0021.526667 1.27 1.310044 0.97 1.310044 1.0011.006667 1.17 1.986755 0.995 1.986755 10.653333 1.08 3.061224 1 3.061224 10.433333 1 4.615385 1 4.615385 1

0.26 0.9 7.692308 1 7.692308 1

Froude Hydr jump Tailwater Q 2/3*B*(2/3g)^0.5 Cd H1 Q p/H1sequent depth depth 600 63.93356 1.08 4 552.386 0.625

m m 600 63.93356 1.293152 3.75 600.3788 0.666667600 63.93356 1.28725 3.76 600.0309 0.664894500

.)2/1(2 11 zHgV

z= tinggi terjun/bendung

Froude Hydr jump Tailwater

sequent depth

m m2.49 4.92 3.03 2.814 1.0032.62 4.47 2.74 1.005

2.8 3.98 2.42 1.0023.09 3.43 2.07 3.252033 0.539027 1.0013.28 3.12 1.87 0.99993.57 2.79 1.65 3.078746 0.998

4.7 1.97 1.13 0.9986.47 1.39 0.77 0.9988.96 0.97 0.53 0.998

12.48 0.69 0.34 0.9980.9980.9980.998

Froude Hydr jump Tailwater #DIV/0! Q h1 Q

sequent depth #DIV/0! /(3+h1) 600 #DIV/0! 3.401 600

m m #DIV/0! /(3+h1) 500 #DIV/0! 3.041 5002.49 4.92 0 #DIV/0! /(3+h1) 400 #DIV/0! 2.69 4002.62 4.47 2.26 #DIV/0! /(3+h1) 300 #DIV/0! 2.284 300

2.8 3.98 0 #DIV/0! /(3+h1) 250 #DIV/0! 2.061 2503.09 3.43 0 #DIV/0! /(3+h1) 200 #DIV/0! 1.8 2003.28 3.12 1.35 #DIV/0! /(3+h1) 100 #DIV/0! 1.23 1003.57 2.79 0 #DIV/0! /(3+h1) 75 #DIV/0! 1.048 75

4.7 1.97 0 #DIV/0! /(3+h1) 50 #DIV/0! 0.834 506.47 1.39 0 #DIV/0! /(3+h1) 25 #DIV/0! 0.548 258.96 0.97 0 #DIV/0! /(3+h1) 11 #DIV/0! 0.339 11

12.48 0.69 2.326667 #DIV/0! /(3+h1) 5 #DIV/0! 0.209 5#DIV/0! /(3+h1) 3 #DIV/0! 0.159 3#DIV/0! /(3+h1) 1.3 #DIV/0! 0.1 1.3

depth,y2

depth,y2

.)2/1(2 11 zHgV

11 . vB

Qy

1

1

.yg

vFroude

181(2/1 2

1

2 Froy

y

11 . vB

Qy

1

1

.yg

vFroude

181(2/1 2

1

2 Froy

y

45

3

30 7.5

21.80141

sin 8.077747

tg 7.5

42.5

2.5

30

B= m 30 42h = m 2.5 3.3L= m 42.5 46.5A = m 90.625 146.025O = m 43.46291 47.77104R=A/O= m 2.09 3.06

H1/r Co C1 C2 Cd2.666667 1.4 0.92 1.004 1.293152

2.5 1.38 0.93 1.003 1.287252.506667 1.38 0.93 1.003 1.28725

a=

4.597701

2/3*B*(2/3g)^0.5 Cd H1 Q p/H1 H1/r Co C1 C2 Cd

63.93356 1.311718 3.72 601.7053 0.806452 2.48 1.378 0.95 1.002 1.311718

63.93356 1.312759 3.29 500.85 0.911854 2.193333 1.365 0.96 1.0018 1.31275963.93356 1.287506 2.87 400.2221 1.045296 1.913333 1.326 0.97 1.001 1.28750663.93356 1.26464 2.4 300.6164 1.25 1.6 1.28 0.988 1 1.2646463.93356 1.239954 2.15 249.9149 1.395349 1.433333 1.255 0.989 0.999 1.23995463.93356 1.22754 1.87 200.6906 1.604278 1.246667 1.23 1 0.998 1.2275463.93356 1.12774 1.25 100.7634 2.4 0.833333 1.13 1 0.998 1.1277463.93356 1.07784 1.06 75.20418 2.830189 0.706667 1.08 1 0.998 1.0778463.93356 1.00798 0.84 49.61348 3.571429 0.56 1.01 1 0.998 1.0079863.93356 0.9481 0.55 24.72447 5.454545 0.366667 0.95 1 0.998 0.948163.93356 0.85828 0.34 10.87868 8.823529 0.226667 0.86 1 0.998 0.8582863.93356 0.80838 0.21 4.973629 14.28571 0.14 0.81 1 0.998 0.8083863.93356 0.7485 0.16 3.062673 18.75 0.106667 0.75 1 0.998 0.748563.93356 0.6986 0.1 1.412399 30 0.066667 0.7 1 0.998 0.6986

hkritis/hc

2.97

2.632.261.871.651.43

0.90.740.570.360.210.120.090.05

0.699301754.941

Cd 1.164B 37.5Q 600

H1= 4.020804

H13.76 =h1+256/(2.5+h)^2*1/ 19.62

h1+256/(2.5+h1)^2/19.62-3.76= 63.933559262722 1.9

256 Q h1 Q 2/3*B*(2/3g)^0.5 CdV1 = 16 /(2.5+h1) 600 0.006106 3.39 600 63.933559262722 1.2872502V1 = 13.33333 /(2.5+h1) 500 0.004166 3.05 500 63.933559262722 1.284792V1 = 10.66667 /(2.5+h1) 400 0.006959 2.67 400 63.933559262722 1.2793536V1 = 8 /(2.5+h1) 300 -0.006032 2.26 300 63.933559262722 1.25513388V1 = 5.333333 /(2.5+h1) 200 -0.001592 1.8 200 63.933559262722 1.22127786V1 = 2.666667 /(2.5+h1) 100 0.006051 1.23 100 63.933559262722 1.13772V1 = 2 /(2.5+h1) 75 0.006086 1.06 75 63.933559262722 1.06786V1 = 1.333333 /(2.5+h1) 50 0.003098 0.845 50 63.933559262722 0.998998V1 = 0.666667 /(2.5+h1) 25 0.001421 0.559 25 63.933559262722 0.9481V1 = 0.293333 /(2.5+h1) 11 0.01054 0.35 11 63.933559262722 0.85828V1 = 0.133333 /(2.5+h1) 5 0.04012 0.25 5 63.933559262722 0.80838V1 = 0.08 /(2.5+h1) 3 0.010046 0.17 3 63.933559262722 0.7485V1 = 0.034667 /(2.5+h1) 1.3 9.061E-06 0.1 1.3 63.933559262722 0.6986

Debit tinggi1 600 3392 500 3053 400 2674 300 2265 200 1806 100 123

75 106

1 2 3 4 5 6 7 8 9 10 11 12 13

Debit 600 500 400 300 200 100 75 50 25 11 5 3 1.3

tinggi 339 305 267 226 180 123 106 85 56 35 25 17 10

0.05

0.15

0.25

0.35

0.45

0.55

0.65

0.75

0.85

0.95

Tinggi air di atas mercu (CM)

x 10

00 M

3/de

tik

3/2

13/2...3/2

gBCd

QH

11

/

hp

BQV

2/31.3/2...3/2 HgBCdQ

g

VhH

2

2

11

210 .. CCCC d

50 8525 5611 35

5 253 17

1.3 10

V1= 9.9144440086169Q= 600y1 1.6138070865188

3.9801 5.015.405405

Diketahui:tinggi bendung p= 3 mjari2 mercu r= 1.5 mjari2 kolam olak R= 2.5 m

1 2 3 4 5 6 7 8 9 10 11 12 13

Debit 600 500 400 300 200 100 75 50 25 11 5 3 1.3

tinggi 339 305 267 226 180 123 106 85 56 35 25 17 10

0.05

0.15

0.25

0.35

0.45

0.55

0.65

0.75

0.85

0.95

Tinggi air di atas mercu (CM)

x 10

00 M

3/de

tik

.)2/1(2 11 zHgV

256 Q h1 Q 2/3*B*(2/3g)^0.5 CdV1 = 16 /(3+h1) 600 -0.000547 3.401 600 63.933559262722 1.3117182V1 = 13.33333 /(3+h1) 500 -0.000709 3.041 500 63.933559262722 1.31275872V1 = 10.66667 /(3+h1) 400 -0.000884 2.69 400 63.933559262722 1.28750622V1 = 8 /(3+h1) 300 0.00083 2.284 300 63.933559262722 1.26464

6.666667 /(3+h1) 250 -0.000561 2.061 250 63.933559262722 1.239953805V1 = 5.333333 /(3+h1) 200 -0.007076 1.8 200 63.933559262722 1.22754V1 = 2.666667 /(3+h1) 100 0.000256 1.23 100 63.933559262722 1.12774V1 = 2 /(3+h1) 75 0.000442 1.048 75 63.933559262722 1.07784V1 = 1.333333 /(3+h1) 50 0.000164 0.834 50 63.933559262722 1.00798V1 = 0.666667 /(3+h1) 25 -0.000201 0.548 25 63.933559262722 0.9481V1 = 0.293333 /(3+h1) 11 -0.000607 0.339 11 63.933559262722 0.85828V1 = 0.133333 /(3+h1) 5 -0.000912 0.209 5 63.933559262722 0.80838V1 = 0.08 /(3+h1) 3 -0.000967 0.159 3 63.933559262722 0.7485V1 = 0.034667 /(3+h1) 1.3 6.374E-06 0.1 1.3 63.933559262722 0.6986

V2/2gH1

h1

p

hc

r

.)2/1(2 11 zHgV

11 . vB

Qy

11 . vB

Qy

1

1

.yg

vFroude

181(2/1 2

1

2 Froy

y

3.5 795.3981p=2.5

H1 Q p/H1 H1/r Co C1 C2 Cd hkritis3.76 600.0309 0.664894 2.506667 1.38 0.93 1.003 1.28725 2.97 0.423.34 501.3966 0.748503 2.226667 1.36 0.94 1.005 1.284792 2.63 0.422.88 399.7682 0.868056 1.92 1.33 0.96 1.002 1.279354 2.26 0.412.41 300.2234 1.037344 1.606667 1.29 0.972 1.001 1.255134 1.87 0.391.88 201.2705 1.329787 1.253333 1.24 0.985 0.9999 1.221278 1.43 0.371.25 101.6551 2 0.833333 1.14 1 0.998 1.13772 0.9 0.331.07 75.56468 2.336449 0.713333 1.07 1 0.998 1.06786 0.74 0.320.85 50.05205 2.941176 0.566667 1.001 1 0.998 0.998998 0.57 0.2750.56 25.40183 4.464286 0.373333 0.95 1 0.998 0.9481 0.36 0.1990.34 10.87868 7.352941 0.226667 0.86 1 0.998 0.85828 0.21 0.140.21 4.973629 11.90476 0.14 0.81 1 0.998 0.80838 0.12 0.130.16 3.062673 15.625 0.106667 0.75 1 0.998 0.7485 0.09 0.08

0.1 1.412399 25 0.066667 0.7 1 0.998 0.6986 0.05 0.05

1 2 3 4 5 6 7 8 9 10 11 12 13

Debit 600 500 400 300 200 100 75 50 25 11 5 3 1.3

tinggi 339 305 267 226 180 123 106 85 56 35 25 17 10

0.05

0.15

0.25

0.35

0.45

0.55

0.65

0.75

0.85

0.95

Tinggi air di atas mercu (CM)

x 10

00 M

3/de

tik

2/31.3/2...3/2 HgBCdQ

p=3 m

1 2 3 4 5 6 7 8 9 10 11 12 13

Debit 600 500 400 300 200 100 75 50 25 11 5 3 1.3

tinggi 339 305 267 226 180 123 106 85 56 35 25 17 10

0.05

0.15

0.25

0.35

0.45

0.55

0.65

0.75

0.85

0.95

Tinggi air di atas mercu (CM)

x 10

00 M

3/de

tik

H1 Q p/H1 H1/r Co C1 C2 Cd hkritis/hc V3.72 601.7053 0.806452 2.48 1.378 0.95 1.002 1.311718 2.97 9.763.29 500.85 0.911854 2.193333 1.365 0.96 1.0018 1.312759 2.63 9.552.87 400.2221 1.045296 1.913333 1.326 0.97 1.001 1.287506 2.26 9.33

2.4 300.6164 1.25 1.6 1.28 0.988 1 1.26464 1.87 9.082.15 249.9149 1.395349 1.433333 1.255 0.989 0.999 1.239954 1.65 8.941.87 200.6906 1.604278 1.246667 1.23 1 0.998 1.22754 1.43 8.791.25 100.7634 2.4 0.833333 1.13 1 0.998 1.12774 0.9 8.431.06 75.20418 2.830189 0.706667 1.08 1 0.998 1.07784 0.74 8.320.84 49.61348 3.571429 0.56 1.01 1 0.998 1.00798 0.57 8.190.55 24.72447 5.454545 0.366667 0.95 1 0.998 0.9481 0.36 8.020.34 10.87868 8.823529 0.226667 0.86 1 0.998 0.85828 0.21 7.890.21 4.973629 14.28571 0.14 0.81 1 0.998 0.80838 0.12 7.810.16 3.062673 18.75 0.106667 0.75 1 0.998 0.7485 0.09 7.77

0.1 1.412399 30 0.066667 0.7 1 0.998 0.6986 0.05 7.74

No. Q Cd H1 h1 hc V Y1 Froudem m m m/detik m

1 600 1.311 3.72 3.4 2.97 9.76 1.64 2.432 500 1.31 3.29 3.04 2.63 9.55 1.4 2.583 400 1.287 2.87 2.69 2.26 9.33 1.14 2.794 300 1.264 2.4 2.28 1.87 9.08 0.88 3.09

m3/detik

1.5

R

Y2

Yu

Y1

5 250 1.24 2.15 2.06 1.65 8.94 0.75 3.36 200 1.227 1.87 1.8 1.43 8.79 0.61 3.597 100 1.127 1.25 1.23 0.9 8.43 0.32 4.768 75 1.077 1.06 1.05 0.74 8.32 0.24 5.429 50 1.008 0.84 0.83 0.57 8.19 0.16 6.54

10 25 0.948 0.55 0.55 0.36 8.02 0.08 9.0511 11 0.858 0.34 0.34 0.21 7.89 0.04 12.612 5 0.808 0.21 0.21 0.12 7.81 0.02 17.6313 3 0.748 0.16 0.16 0.09 7.77 0.01 24.8114 1.3 0.697 0.1 0.1 0.05 7.74 0.0045 36.84

Sumber: Anaisis konsultan

Y1 Fr Y2 Yu1.64 2.43 4.88 3.401

1.4 2.58 4.46 3.0411.14 2.79 3.96 2.690.88 3.09 3.43 2.2840.75 3.3 3.15 2.0610.61 3.59 2.81 1.80.32 4.76 2 1.230.24 5.42 1.72 1.0480.16 6.54 1.4 0.8340.08 9.05 0.98 0.5480.04 12.6 0.69 0.3390.02 17.63 0.49 0.2090.01 24.81 0.35 0.159

0.0045 36.84 0.23 0.1

Y2 Yum m

4.88 3.44.46 3.043.96 2.693.43 2.28

3.15 2.062.81 1.8

2 1.231.72 1.05

1.4 0.830.98 0.550.69 0.340.49 0.210.35 0.160.23 0.1