Download - problemas hidrologia
PROBLEMAS
UNIDAD I FLUJO UNIFORME
1)
Área: b*d = (2.5) (1.85)= 4.625
Perímetro mojado: b + 2d = 2.5 + 2(1.85)= 6.2 m
Radio Hidráulico:
=
( )( )
( )= 0.746m
Desnivel: Cota 1 - Cota 2
;
( ) ( ) = 1.69 m/s
1307 -1250 = 57m Q = V. A ; ( 1.69 ) ( 4.625 ) = 7.8 m/s
2)
n = 0.013
s = 0.0037
Área: = ( )( ) ( )( ) =16.87
Perímetro mojado: √ = ( )√ ( ) = 13.06m
Radio Hidraulico:
√ = ( )( ) ( )( )
( ) ( )√ ( ) = 1.29
V=
( )
( )
Q= ( )( )
3)
n = 0.013 área: ( )( )
s = 0.18 P.m: ( )√ ( )
R.H: ( ) ( )
√ ( )
;
( )
( )
Q = A.V ; (5.36) (27.9) =
4)
n=0.013 Area: ( )( )
P.M: ( )√ ( )
So=0.18 R.H: ( ) ( )
√ ( )
( )
( )
Q= A.V ; (11.34)(35.61)= 403.81
5)
Area: ( )( ) ( )( )
P.M: ( )√ ( )
R.H. ( ) ( ) ( )( )
( ) ( ) √ ( )
( )
( )
Q= (11.40)(138)=1573.20 /s
6)
Area ( )( )
P.M. ( )
R.H. ( )( )
( ) ( )
Q= (3.6)(2.28)=8.21
7)
Area: ( )( ) ( )( ) =20.54m
P.M. ( ) ( )√ ( )
R.H. ( )( ) ( )( )
( ) ( )√ ( )
Q= 80.92
( )
( )
8)
Area: ( )( )
S=0.0001 P.M. ( )√ ( ) =0.99m
n=0.020 R.H. ( )( )
√ ( )
V:
( )
( )
Q: ( )( )
A.S. ( )( )
9)
Area. ( )( ) ( )( ) =17.08m
P.M. ( ) ( )√ ( )
R.H. ( )( ) ( )( )
( ) ( )√ ( )
V:
( )
( )
Q:
10)
Area: ( )( ) ( )
P.M. ( ) ( )√ ( )
R.H. ( )( ) ( )
( ) ( )√ ( )
Qn=
(
)
(( )( )
( )( )( )
) =0.0016
( )
( )
11)
Area: ( )( )
P.M. ( ) ( )
R.H. ( )( )
( )
(
)
(( )( )
( )( )
)
( )
( )
12)
Area: ( )( )
P.M. ( ) ( )
R.H. ( )( )
( )
V
( )
( )
13)
Area:( )( )
P.M. ( ) ( )
R.H.
( )
( )
14)
A: ( )( ) ( )
( ) ( )√ ( )
R.H. ( )( ) ( )
( ) ( )√ ( )
V
( )
( )
( )( ) ( )
(( )( ) ( )
( ) ( )√ ( ) ) ( )
15)
A: ( )( ) ( )
P.M. ( ) ( )√ ( )
R.H. ( )( ) ( )
( ) ( )√ ( )
V.
( )
( )
Q. 352.16
16)
( )
√ ( )√
√
( )√
( )
( )
PROPUESTA
( )
√ ( )√
√
( )√
( )
( )
17)
)
( )
( )( )
( ) ( )
( )
( )
18)
Area: b *d =3.168m
P.M. b+2d = 5.04m
R.H.
Q.
19)
( )( )
( )
20)
(
) ( )√ ( )
( )
(
) ( )√ ( )
( )
(
)
( )
(
)
√ ( )
√ ( )
( )
( )
21)
(
) ( )√ ( )
(
) ( )√ ( )
( )
(
)
( )
(
)
√ ( )
√ ( )
{
( )
( )
22)
( )
√ ( )√
√ ( )
( )√ ( )
( )
( )
Q= 92.26m³/s
23)
( )
( )( )
( ) ( )
( )
( )
24)
(
) ( )√ ( )
(
) ( )√ ( )
( )
(
) ( )
(
)
√ ( ) √ ( )
( ) (
) √ ( )
{
( )
( )
25)
(
) ( )√ ( )
( )
(
)
{
( )
( )
26)
(
)
R: A/P= 0.13m
( )
( )
27)
(
) ( )√ ( )
( )
(
)
{
√
√( )( )
Q=6.39ft³/s
{
√
√( )( )
{
( )
28)
(
) ( )√ ( )
( )
(
)
{
√
√( )( )
{
√
√( )( )
{
( )
29)
( ) ( )
(
)
R.H: 0.65m
√ √
30)
{
√
√( )( )
31)
A: 192ft
P.M: 46.86ft
R.H: 4.09ft
{
√
√( )( )
{
( )
32)
√
√( )
( )( )
A = (5)(0.69)=3.45m
33)
√
√( )
( )( )
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g8m)
0.2 1 9 4.12844037 4.32844037
0.3 1.5 6 1.83486239 2.13486239
0.4 2 4.5 1.03211009 1.43211009
0.6 3 3 0.4587156 1.0587156
0.69 3.45 2.60869565 0.34685489 1.03685489
0.7 3.5 2.57142857 0.33701554 1.03701554
0.8 4 2.25 0.25802752 1.05802752
0.9 4.5 2 0.2038736 1.1038736
1 5 1.8 0.16513761 1.16513761
34)
√
√( )
( )( )
35)
√
√( )
( )( )
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g8m)
0.5 1.5 5 1.27420999 1.77420999
0.6 1.8 4.16666667 0.88486805 1.48486805
0.7 2.1 3.57142857 0.65010714 1.35010714
0.8 2.4 3.125 0.49773828 1.29773828
0.9 2.7 2.77777778 0.39327469 1.29327469
1 3 2.5 0.3185525 1.3185525
1.1 3.3 2.27272727 0.26326653 1.36326653
1.2 3.6 2.08333333 0.22121701 1.42121701
1.3 3.9 1.92307692 0.1884926 1.4884926
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g8m)
1 10 40 24.8447205 25.8447205
2 20 20 20.3873598 22.3873598
3 30 13.3333333 9.06104882 12.0610488
4 40 10 5.09683996 9.09683996
5 50 8 3.26197757 8.26197757
6 60 6.66666667 2.2652622 8.2652622
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g8m)
2 16 19.375 5.82904697 7.82904697
2.2 17.6 17.6136364 15.8124458 18.0124458
2.7 21.6 14.3518519 10.4982493 13.1982493
3 24 12.9166667 8.50358195 11.5035819
3.2 25.6 12.109375 7.47385132 10.6738513
3.6 28.8 10.7638889 5.90526524 9.50526524
3.7 29.6 10.472973 5.59037527 9.29037527
4 32 9.6875 4.78326484 8.78326484
36)
√
√( )
( )( )
37)
( )
38)
( )
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g8m)
0.3 1.2 6.66666667 2.2652622 2.5652622
0.4 1.6 5 1.27420999 1.67420999
0.5 2 4 0.81549439 1.31549439
0.6 2.4 3.33333333 0.56631555 1.16631555
0.7 2.8 2.85714286 0.41606857 1.11606857
0.8 3.2 2.5 0.3185525 1.1185525
0.9 3.6 2.22222222 0.2516958 1.1516958
1 4 2 0.2038736 1.2038736
d A A³ T A³/t Q²/g
0.79 2.2041 10.707643 3.58 2.99096174 4.30682977
0.85 2.4225 14.2164564 3.7 3.84228551 4.30682977
0.88 2.5344 16.2789159 3.76 4.32949891 4.30682977
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
1 4 1.625 0.13458843 1.13458843
1.1 4.62 1.40692641 0.10088899 1.20088899
1.2 5.28 1.23106061 0.07724313 1.27724313
1.3 5.98 1.08695652 0.06021786 1.36021786
0.88 3.3088 1.96445841 0.19669199 1.07669199
0.5 1.5 4.33333333 0.95707328 1.45707328
0.6 1.92 3.38541667 0.58415117 1.18415117
0.7 2.38 2.73109244 0.38016646 1.08016646
39)
( )
40)
)
√
√ ( )
)
d A A³ T A³/t Q²/g
0.92 2.898 24.3385748 4.3 5.66013367 4.81110092
0.86 2.6445 18.4939941 4.15 4.45638411 4.81110092
0.88 2.728 20.3017324 4.2 4.8337458 4.81110092
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
0.6 1.65 4.16363636 0.88358144 1.48358144
0.7 2.0125 3.4136646 0.59394016 1.29394016
0.8 2.4 2.8625 0.41763029 1.21763029
0.9 2.8125 2.44266667 0.3041091 1.2041091
0.88 2.728 2.51832845 0.32324048 1.20324048
1 3.25 2.11384615 0.22774442 1.22774442
1.1 3.7125 1.85050505 0.1745346 1.2745346
1.2 4.2 1.63571429 0.13636907 1.33636907
d A A³ T A³/t Q²/g
0.84 4.5948 97.006277 6.94 13.9778497 19.2724261
0.81 4.388175 84.4990481 6.835 12.3626991 19.2724261
0.82 4.4567 88.5197548 6.87 12.8849716 19.2724261
√
√ ( )
)
√
√ ( )
)
√
√ ( )
41)
√
√( )
( )( )
√
√ ( )
42)
( )
( )( )
43)
( )
√
√ ( )
( )
√
√ ( )
( )
√
√ ( )
( )
√
√ ( )
( )
√
√ ( )
44)
√
√( )
( )( )
45)
√
√( )
( )( )
46)
DATOS
CONVERSIONES
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
0.8 3.16 6.01265823 1.84261259 2.64261259
0.9 3.555 5.34458509 1.45589143 2.35589143
1 3.95 4.81012658 1.17927206 2.17927206
1.1 4.345 4.37284235 0.974605 2.074605
1.2 4.74 4.00843882 0.81893893 2.01893893
1.3 5.135 3.70009737 0.69779412 1.99779412
1.4 5.53 3.4358047 0.60166942 2.00166942
1.5 5.925 3.20675105 0.52412091 2.02412091
1.6 6.32 3.00632911 0.46065315 2.06065315
1.7 6.715 2.82948622 0.40805261 2.10805261
1.8 7.11 2.67229255 0.36397286 2.16397286
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
2.6 20.8 15.625 3.79100349 6.39100349
2.8 22.4 14.5089286 3.26877342 6.06877342
3 24 13.5416667 2.84746485 5.84746485
3.2 25.6 12.6953125 2.50265465 5.70265465
3.4 27.2 11.9485294 2.2168844 5.6168844
3.6 28.8 11.2847222 1.97740614 5.57740614
3.8 30.4 10.6907895 1.77473571 5.57473571
4 32 10.15625 1.60169898 5.60169898
( )
√
√( )
( )
47)
( )
( )
)
48)
)
√
√ ( )
)
√
√ ( )
)
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
0.2 0.488 18.852459 18.1149445 18.3149445
0.4 0.976 9.42622951 4.52873612 4.92873612
0.6 1.464 6.28415301 2.01277161 2.61277161
0.8 1.952 4.71311475 1.13218403 1.93218403
1 2.44 3.7704918 0.72459778 1.72459778
1.13 2.7572 3.33671841 0.56746635 1.69746635
1.2 2.928 3.1420765 0.5031929 1.7031929
1.4 3.416 2.69320843 0.36969274 1.76969274
√
√ ( )
)
√
√ ( )
49)
√ √ ( )
√ √( ) ( )
50)
√ √ ( )
( )
51)
√ √ ( )
52)
[
]
√ √ ( )
√
√( )
( )( )
( )
d A A³ T A³/t Q²/g
2.5 20.625 8773.68164 12 731.140137 56.2945973
2 15 3375 10.5 321.428571 56.2945973
1.38 9.0666 745.303856 8.64 86.2620203 56.2945973
53)
( )
54)
55)
d A A³ T A³/t Q²/g
0.85 2.8475 23.0882597 4.2 5.49720468 9.19979613
0.88 2.9744 26.3146815 4.26 6.17715527 9.19979613
0.99 3.4551 41.2460026 4.48 9.20669701 9.19979613
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
0.5 1.5 6.33333333 2.04439914 2.54439914
1 3.5 2.71428571 0.37550188 1.37550188
1.5 6 1.58333333 0.12777495 1.62777495
2 9 1.05555556 0.05678886 2.05678886
2.5 12.5 0.76 0.02943935 2.52943935
d A A³ T A³/t Q²/g
0.85 3.57 45.499293 5.9 7.71174458 9.19979613
0.88 3.7488 52.6837662 6.02 8.75145618 9.19979613
0.89 3.8092 55.2715097 6.06 9.12071117 9.19979613
d(m) A(m²) V(m/seg) V²/2g(m) d+ V²/2g(m)
0.5 1.75 5.42857143 1.50200753 2.00200753
1 4.5 2.11111111 0.22715546 1.22715546
1.5 8.25 1.15151515 0.06758344 1.56758344
2 13 0.73076923 0.02721833 2.02721833
2.5 18.75 0.50666667 0.01308415 2.51308415
)
√
√ ( )
[√ ]
[√ ( ) ]
√
√ ( )
( )
( )( )
56)
)
√
√ ( )
( )
( )( )
[√ ]
[√ ( ) ]
√
√ ( )
57)
)
√
√ ( )
[√ ]
[√ ( ) ]
)
√
√ ( )
( )
( )( )
58)
)
( ) (
)
( )
√
√( )
( )( )
d a p r v v^2/64.4 ES Δes Vm Rhm Rhm^2/3 SE SE-SO ΔL LONGITUD
3 30 16 1.875 10 1.55279503 4.55279503 - - - - - -
3.035 30.35 16.07 1.88861232 9.88467875 1.51718748 4.55218748 0.00060755 9.942339374 1.88180616 1.52422796 0.00493264 0.00243264 0.24974787 0.24974787
3.1 31 16.2 1.91358025 9.67741935 1.45423052 4.55423052 0.00204303 9.781049051 1.90109628 1.53462667 0.00470942 0.00220942 0.92469124 1.17443912
3.2 32 16.4 1.95121951 9.375 1.36476126 4.56476126 0.01053074 9.526209677 1.93239988 1.55142696 0.00437099 0.00187099 5.62842764 6.80286676
3.3 33 16.6 1.98795181 9.09090909 1.28330168 4.58330168 0.01854042 9.232954545 1.96958566 1.57126673 0.00400298 0.00150298 12.3357364 19.1386032
3.4 34 16.8 2.02380952 8.82352941 1.20892347 4.60892347 0.02562179 8.957219251 2.00588067 1.59051119 0.00367684 0.00117684 21.771595 40.9101981
3.5 35 17 2.05882353 8.57142857 1.140829 4.640829 0.03190554 8.697478992 2.04131653 1.60918843 0.00338669 0.00088669 35.9827789 76.892977
3.6 36 17.2 2.09302326 8.33333333 1.07832988 4.67832988 0.03750088 8.452380952 2.07592339 1.6273247 0.00312761 0.00062761 59.7522628 136.64524
3.7 37 17.4 2.12643678 8.10810811 1.02082946 4.72082946 0.04249958 8.220720721 2.10973002 1.64494452 0.00289547 0.00039547 107.464984 244.110223
3.8 38 17.6 2.15909091 7.89473684 0.96780854 4.76780854 0.04697908 8.001422475 2.14276385 1.66207088 0.00268681 0.00018681 251.474592 495.584815
3.84 38.4 17.68 2.1719457 7.8125 0.94775087 4.78775087 0.01994234 7.853618421 2.16551831 1.67381674 0.00255227 5.2267E-05 381.546408 877.131224