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Solution Manual to Engineering Hydrology PDF

162 Pages·2009·11.77 MB·English
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Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya Chapter -1 2.5/100) x 200 x 10° 7.87 ms Q=(5 x 1086400 Period year Input volume = 140 x 10°%120/100 = 168 Min? Runoff = Output volume =(2 x3) +( 3x 6)+(5%3)= 39's. month 39 x (365/12) x 24 60 x 60 = 102.492 Mm" () Runoff coefficient = 102.492/168.0 = 0.61 Abstraction = 168.0 ~ 102.492 = 65.508 Mes* i) Due to afforestation Runoff =0.5 x 168.0 =840 Ma Abstraction = 168.0 840 = 84.0 Mev? Increase in abstraction = 84.0 ~ 65.058 = 18.492 Mm? Period Input volume. Output volume = Gar+(G+E+T)A PAs IN «(QM +(G+E+T)A] = change in tora x10" 13 PAS =25838 Mm" 17.5438 Mn* “100 * Total input volume 11375108 . DH EAT)AZQ5+95 440) 1. 60 Mi Cree) T0010 137510" 10" [PA+ Tht) AS ~(G-+ E+T)A = 17.5438+0.1081-1.60 = 16.047 Mm* 16.087 «10" 302460060 0.95 0.1031 Mm* Oar Constant ate of withdrawal = 0 = 191 mls Tar Gar =as =5,-5 Ths = 14.2% 3 x 60 x 60 = 153,360 m" Dar = 10.6 x3 x 60 x 60 = 114,480 m 38,880 m" 135,000 m? 5,000 + 38,800 = 193,880 m= 19.338 ham “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya 15 GP =5AR /54= anal average precipitation (1071030) + 3.05830) (8.2900) + (1.031300) = 105 mm (10.7 +3.048.2+17.0) 1105 ) Annual average evaporation E = EAE, 124, (4072530) +G.05438) (8.2490) + 07.0600) — 539g (07430824170) Gi) Runoff coefficients of sub-areas ‘Arca _| Runoff coeficient 1030 - 530)/1030 = 0.85 D For the entre catchment 105 ~ 532V1105 = 018 16 From Table 1 (Textbook): (Atmospheric moisture r 1022 years 2 days 10,530,000/220. ) Global groundwater 1, = 10,530.000022¢ 1,338,000,000/47,000 = 28468 years i) Global ocean water t, “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya Chapter -2 2.41 Forthe given data o,, = 22.545, P = 130.43 and C, = 17.286 From Eq.(2.3) NV 1 ra ‘A double mass curve plot of EP, vs ZPa« is prepared (Fig, P-2.3). The calculations Aare shown in Table p-2.3. Iti seen from Fig. P23 that there isa change in regime in the year 1988, The correction ratio is the ratio of the two slopes = MJM, (0.9406/1.1796 = 0.805. The adjusted values of station A are shown in Col. 6 of Table p-23. ‘Table p-2.3 Double Mass Curve rp2[T3 Taps in 7 Adjusted | Finalise’ Year |Pa |2Px [Px | ZP_ | values of | s a(at Post 1855 regime) yaar | er | ra | sas | ist aes [14a | 07 | —1a0 | — 20 ae 7965 [130 497 [v7 [20 130 eea [14s | 580] 190 | —s60- Tag woes [15 [ras | 140 — 700. 135 aez | 163 | are | va | — 02 189 7961 [135 | tora | —v48 | —o60- 135 aso} —115-| trae 95 [ross is 959] —145-| 12 [v2 [1217 1a ase [ iss [126 | vas 136 155 957 [tet | —te00 [158 [1520 188 956 | —156-| 17a] —v41 [16st 156 vase [1a | tau | 1a: [ 1857 1a “asa | 128 | 2067 | 160 [2017 | 1a 12 vasa [ tir] tee] —v4a [216 | 106 6 952 [152 | —25a0-| 196 [257 | — v0 158 ‘as | —1ss | —2aar | 188 | 2505 [135 135 aso] ter | 2652 | 194 [2716 | 158 156 sees] | 2798 | v6 | —296r | —190 130 “copyrighied Materia” ~"Adstional resource material eugpied with the b00% Engineerag Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya somo | 146] 2045] 70 | soso] 149 aa sear | —192 | —sorr | —v4a | 3205. | 116 SIL seas | 14s | —aza0 | tr | s80 | 1a ia Fa.p23 Problem 23 38 88 i 5 a 3 8 els ior vale befor 1985] = (Values Col 40808 “nalized values of P forall years corresponding 1 the current (post 1958) tein. The values ave beat mundd ol he sect ‘The mean annual precipitation of station A = 3165/22 = 143.9 em 24 Table p24 ‘Cumulative | Raita ‘Time | incremental | Raina | intansty osin_| dpi fem)_| fom) (em) 7 000 so} us 175 | 380 co | 235 490 | 450 “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ings) Pat Lids Ths resource materials for Inerustor= use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya Chapter -1 2.5/100) x 200 x 10° 7.87 ms Q=(5 x 1086400 Period year Input volume = 140 x 10°%120/100 = 168 Min? Runoff = Output volume =(2 x3) +( 3x 6)+(5%3)= 39's. month 39 x (365/12) x 24 60 x 60 = 102.492 Mm" () Runoff coefficient = 102.492/168.0 = 0.61 Abstraction = 168.0 ~ 102.492 = 65.508 Mes* i) Due to afforestation Runoff =0.5 x 168.0 =840 Ma Abstraction = 168.0 840 = 84.0 Mev? Increase in abstraction = 84.0 ~ 65.058 = 18.492 Mm? Period Input volume. Output volume = Gar+(G+E+T)A PAs IN «(QM +(G+E+T)A] = change in tora x10" 13 PAS =25838 Mm" 17.5438 Mn* “100 * Total input volume 11375108 . DH EAT)AZQ5+95 440) 1. 60 Mi Cree) T0010 137510" 10" [PA+ Tht) AS ~(G-+ E+T)A = 17.5438+0.1081-1.60 = 16.047 Mm* 16.087 «10" 302460060 0.95 0.1031 Mm* Oar Constant ate of withdrawal = 0 = 191 mls Tar Gar =as =5,-5 Ths = 14.2% 3 x 60 x 60 = 153,360 m" Dar = 10.6 x3 x 60 x 60 = 114,480 m 38,880 m" 135,000 m? 5,000 + 38,800 = 193,880 m= 19.338 ham “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya 15 GP =5AR /54= anal average precipitation (1071030) + 3.05830) (8.2900) + (1.031300) = 105 mm (10.7 +3.048.2+17.0) 1105 ) Annual average evaporation E = EAE, 124, (4072530) +G.05438) (8.2490) + 07.0600) — 539g (07430824170) Gi) Runoff coefficients of sub-areas ‘Arca _| Runoff coeficient 1030 - 530)/1030 = 0.85 D For the entre catchment 105 ~ 532V1105 = 018 16 From Table 1 (Textbook): (Atmospheric moisture r 1022 years 2 days 10,530,000/220. ) Global groundwater 1, = 10,530.000022¢ 1,338,000,000/47,000 = 28468 years i) Global ocean water t, “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya Chapter -2 2.41 Forthe given data o,, = 22.545, P = 130.43 and C, = 17.286 From Eq.(2.3) NV 1 ra ‘A double mass curve plot of EP, vs ZPa« is prepared (Fig, P-2.3). The calculations Aare shown in Table p-2.3. Iti seen from Fig. P23 that there isa change in regime in the year 1988, The correction ratio is the ratio of the two slopes = MJM, (0.9406/1.1796 = 0.805. The adjusted values of station A are shown in Col. 6 of Table p-23. ‘Table p-2.3 Double Mass Curve rp2[T3 Taps in 7 Adjusted | Finalise’ Year |Pa |2Px [Px | ZP_ | values of | s a(at Post 1855 regime) yaar | er | ra | sas | ist aes [14a | 07 | —1a0 | — 20 ae 7965 [130 497 [v7 [20 130 eea [14s | 580] 190 | —s60- Tag woes [15 [ras | 140 — 700. 135 aez | 163 | are | va | — 02 189 7961 [135 | tora | —v48 | —o60- 135 aso} —115-| trae 95 [ross is 959] —145-| 12 [v2 [1217 1a ase [ iss [126 | vas 136 155 957 [tet | —te00 [158 [1520 188 956 | —156-| 17a] —v41 [16st 156 vase [1a | tau | 1a: [ 1857 1a “asa | 128 | 2067 | 160 [2017 | 1a 12 vasa [ tir] tee] —v4a [216 | 106 6 952 [152 | —25a0-| 196 [257 | — v0 158 ‘as | —1ss | —2aar | 188 | 2505 [135 135 aso] ter | 2652 | 194 [2716 | 158 156 sees] | 2798 | v6 | —296r | —190 130 “copyrighied Materia” ~"Adstional resource material eugpied with the b00% Engineerag Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya somo | 146] 2045] 70 | soso] 149 aa sear | —192 | —sorr | —v4a | 3205. | 116 SIL seas | 14s | —aza0 | tr | s80 | 1a ia Fa.p23 Problem 23 38 88 i 5 a 3 8 els ior vale befor 1985] = (Values Col 40808 “nalized values of P forall years corresponding 1 the current (post 1958) tein. The values ave beat mundd ol he sect ‘The mean annual precipitation of station A = 3165/22 = 143.9 em 24 Table p24 ‘Cumulative | Raita ‘Time | incremental | Raina | intansty osin_| dpi fem)_| fom) (em) 7 000 so} us 175 | 380 co | 235 490 | 450 “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ings) Pat Lids Ths resource materials for Inerustor= use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya Fig. p-2.4(a) __Hyetograph of Storm 149 12.0 10.0 emi) 30 60 «90 «120 150 180 210 Time (min) Fig. p-24(b) Mass curve of ra 5 00150200250 “Time (nin) ‘Total depth of rainfall = 19.25 em uration of Storm = 210 min Average intensity = 19.25 x 60/210 Semin “copyrighied Materia” —"Adstional resource material euppied with the book Engineering Hyatology, Third Eotion witten by Or K. Subramanya & publsned by MGrawHil Education (ines) Put Lids This resource materia is fo Insuctors use ony” Solution Manual to Engineering Hydrology, Third Edition by Dr. K. Subramanya as FH Od 41000” 9989.81 fie 400010.1 ig g015 10998981 = 0.03606 m = 36.06 mm 26 Average rainfall = 546.7 mm Incipient drought condition = 756 of Normal rainfall = 0.75 x 546.7 = 410.0. mm, ‘Years 1964, 1971, 1972, 1976 and 1980 were drought yeas. yy gt My tg yO i Oy Oy OO Og Oy ey Fig. p-2.6 Rainfall at Station A 27 Pah ore 2219) 5 pg l2*9) 5 29.22%) 00 2 2 a) +0, + 075x823) 4(95.E*9y (U600){1242 + 1344 + 900 + 787.5-+ 170) ‘Adsional resource material suppsed wih the book Engineering Hyatology, Third Eotion witten by Dr K. Subramanya & publsned by MoGrawHil Education (ings) Put Lids This resource materia is fo Insuctors use ony”

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