Redes Cerradas Hardy Crros
103
PROBLEMA N° 01: SOLUCION: 34.89 l/s 19.42 l/s DATOS: 90 L/s TRAMO L(m) D= 10" D= 8" AB 600 BE 900 EF 600 6 l/s I 12.01 II !.04 l/s FA 900 BC 600 CD 900 30 L/s D= 6" D=8" 60 L/s DE 600 EB 600 3 /s 19.42 /s >Utilizaremos las formlas !e "aze#$"ilia#s% # 1.8!19 "aze#$"ilia#s% 100 PRIMERA ITERACION: C&RCU&TO TRAMO L(m) D('l) $%/& '& O()*s +,)+-,()*s AB 600 0*+,- .00 999*,09 0*0-9 +*0000 ,*+69 0*006, BE 900 0*.,+ .00 .99.*+,+ 0*0.+0 ,*0000 -.6*.,9. 0*006, $0*00.1, EF 600 0*.,+ .00 ..99-*.61 $0*0..- $*0000 +6-*. 0*006, FA 900 0*+,- .00 .-91*-91 $0*0669 $.0*0000 .-9*,- 0*006, $6*0000 11 * . BC 600 0*+0 .00 +9,1*,6+ 0*0.9- +*0000 .0*00-1 0*00.1, CD 900 0*.,+ .00 .99.*+,+ 0*00,0 .*0000 .91*-1, 0*00.1, DE 600 0*+0 .00 +9,1*,6+ $0*0.9- $+*0000 .0*00-1 0*00.1, EB 600 0*.,+ .00 ..99-*.61 $0*0.+0 $* +*-9- 0*00.1, $0*006, $+* 61.*96- SEUNDA ITERACION: C&RCU&TO TRAMO L(m) D('l) $%/& '& O()*s +,)+-,()*s +*-0-1 6+*996 0*00099 C$= C$ &s-%-s(*s $'2345# C$ &s-%-s(*s $'2345# A B C E D D = 1 0 " D = 6 " D = 6 " I II
-
Upload
anthony-bazan-rodriguez -
Category
Documents
-
view
249 -
download
1
description
Redes Cerradas Hardy Croos
Transcript of Redes Cerradas Hardy Crros
Hoja1PROBLEMA N 01:SOLUCION:34.89l/s19.42l/sDATOS:90 L/sTRAMOL(m)D(pulg)Q(supuestos)D=10"D=8"AB600100.025434.89BE90060.025412.01EF60060.025411.3567l/sI 12.01II5.04l/sFA900100.025466.86BC60080.025419.42CD90060.02545.04 30 L/sD=6"D=8" 60 L/sDE60080.025419.42EB60060.025437l/s19.42l/sNUDOCOTA>Utilizaremos las formulas de wazen-wilians:n1.8519A50wazen-wilians:CH=100B48C46PRIMERA ITERACION:D45CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)E43AB6000.254100999.5090.03492.000057.32690.003650.03854F40BE9000.15210017991.2520.01205.0000416.15910.00365-0.001850.01382EF6000.15210011994.168-0.0114-3.0000264.31370.00365-0.00770FA9000.2541001498.498-0.0669-10.0000149.57340.00365-0.06321-6.0000887.3731
BC6000.2031002958.5620.01942.0000103.00480.001850.02126CD9000.15210017991.2520.00501.0000198.48750.001850.00689DE6000.2031002958.562-0.0194-2.0000103.00480.00185-0.01757EB6000.15210011994.168-0.0120-3.3333277.43940.00185-0.00365-0.01382-2.3333681.9364SEGUNDA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.404862.39960.000990.039536.4782468.81460.00099-0.001270.01354-1.4620189.89850.00099-0.00670-9.0122142.58620.00099-0.06221-1.5913863.6989
2.3667111.29780.001270.022541.7835259.01070.001270.00816-1.661994.59390.00127-0.01630-4.3188312.54300.00127-0.00099-0.01354-1.8305777.4454TERCERA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.521063.76920.000730.040266.2401460.80980.00073-0.000350.01392-1.1315168.78350.00073-0.00598-8.7513140.67210.00073-0.06148-1.1217834.0347
2.6354116.94210.000350.022892.4409299.23020.000350.00851-1.446188.73020.00035-0.01595-4.1601307.20650.00035-0.00073-0.01392-0.5299812.1091CUARTA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.607564.76580.000200.040466.5629471.62640.00020-0.000270.01385-0.9151153.07770.00020-0.00578-8.5631139.27200.00020-0.06128-0.3077828.7419
2.7122118.49780.000270.023162.6397310.20560.000270.00878-1.388787.09340.00027-0.01568-4.3753314.41760.00027-0.00020-0.01385-0.4121830.2144QUINTA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.631665.04050.000150.040616.5041469.67600.00015-0.000070.01393-0.8590148.69280.00015-0.00562-8.5114138.88500.00015-0.06113-0.2348822.2942
2.7713119.67900.000070.023232.7958318.50990.000070.00885-1.345885.84470.00007-0.01560-4.3360313.11730.00007-0.00015-0.01393-0.1148837.1509SEXTA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.650265.25160.000040.040666.5740471.99100.00004-0.000060.01391-0.8171145.30520.00004-0.00558-8.4718138.58720.00004-0.06109-0.0647821.1350
2.7877120.00490.000060.023292.8396320.79720.000060.00891-1.334085.49920.00006-0.01555-4.3826314.66070.00006-0.00004-0.01391-0.0894840.9619SEPTIMA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.655365.30980.000030.040696.5610471.56300.00003-0.000020.01393-0.8056144.36770.00003-0.00555-8.4609138.50500.00003-0.06105-0.0502819.7456
2.8005120.25730.000020.023302.8738322.56800.000020.00892-1.325085.23130.00002-0.01553-4.3740314.37530.00002-0.00003-0.01393-0.0247842.4320OCTAVA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)2.659365.35510.000010.040706.5761472.06030.00001-0.000010.01393-0.7968143.63870.00001-0.00554-8.4524138.44120.00001-0.06104-0.0138819.4952
2.8040120.32700.000010.023322.8832323.05650.000010.00894-1.322585.15730.00001-0.01552-4.3840314.70680.00001-0.00001-0.01393-0.0192843.2477NOVENA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)AB2.660465.36750.000010.04071BE6.5733471.96790.00001-0.000000.01393EF-0.7944143.43750.00001-0.00553FA-8.4501138.42350.00001-0.06104-0.0108819.1964
BC2.8068120.38120.000000.02332CD2.8906323.43660.000000.00894DE-1.320585.09970.00000-0.01551EB-4.3822314.64520.00000-0.00001-0.01393-0.0053843.5627DATOS REALESTRAMOABBEEFFABCCDDENUDOCOTAQ(L/s)40.7113.93-5.53-61.0423.328.94-15.51A50B48NUDO ABCDEFC46P(m)50.0047.3444.5341.6422D45E43F40
ABCFEDD=10"D=6"D=6"IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Hoja2PROBLEMA N 02:SOLUCION:400L/sDATOS:ASUMIDOS100l/s133.33l/sTRAMOL(m)D(pulg)Q(supuestos)1-24006100.00D=6"D=8"2-39008100.003-8600650.00III133.33l/s8-190010166.67100l/s166.67l/s1-96008133.33D=8"D=10"D=8"9-79008133.337-8600876.19D=6"D=8"8-160010166.6750.00l/s76.19l/s3-4400650.004-5900650.0050.00l/s292.86l/s57.14l/s5-860010292.86IIIIV8-3900650.00D=6"D=10"D=6"8-560010292.865-6900657.14D=6"D=6"6-7600657.1450.00l/s57.14l/s7-8600876.19400L/s>Utilizaremos las formulas de wazen-wilians:hallar la districbucion de los caudales en cada tuberia?wazen-wilians:n1.8519tubo de acero:CH=130PRIMERA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)1-24000.1521304933.7231-0.1000-69.3942693.9416-0.0164-0.1164-137.8126951.4528-0.0020-0.1469-141.3884962.7304-0.0012-0.1481-143.5983969.6232-0.0008-0.1488-144.9508973.8135-0.0005-0.14932-39000.2031302734.3831-0.1000-2734.383127343.8315-0.0164-0.1164-2734.383118878.0774-0.0020-0.1469-2734.383118618.7424-0.0012-0.1481-2734.383118463.4641-0.0008-0.1488-2734.383118370.2335-0.0005-0.14933-86000.1521307400.58460.05007400.5846148011.6929-0.01640.03367400.58461435436.2139-0.00200.00317400.58462358271.5216-0.00120.00197400.58463888848.7097-0.00080.00127400.58466427348.2960-0.00050.00078-19000.254130922.29890.1667922.29895533.7937-0.01640.07070.2210922.29893657.8417-0.00200.00160.2517922.29893663.8531-0.00120.00080.2512922.29893670.9252-0.00080.00040.2508922.29893676.7911-0.00050.00020.25065519.1063181583.25975450.68791458923.58595447.11212381516.84755444.90223911952.72235443.54976450369.1340
1-96000.2031301822.92210.13331822.922113671.9157-0.07070.06261822.9221605079.2749-0.00160.00141822.92211293857.3082-0.00080.00071822.92212767228.4170-0.00040.00031822.92215919082.8913-0.00020.00019-79000.2031302734.38310.13332734.383120507.8736-0.07070.06262734.3831907618.9124-0.00160.00142734.38311940785.9623-0.00080.00072734.38314150842.6255-0.00040.00032734.38318878624.3370-0.00020.00017-86000.2031301822.9221-0.0762-15.4958203.3823-0.07070.0707-0.0762-15.4958203.3823-0.00160.0016-0.0762-15.4958203.3823-0.00080.0008-0.0762-15.4958203.3823-0.00040.0004-0.0762-15.4958203.3823-0.00020.0002-0.07628-16000.254130614.8660-0.1667-22.2720133.6321-0.07070.0164-0.2210-47.9423190.1394-0.00160.0020-0.2517-47.7967189.8736-0.00080.0012-0.2512-47.6264189.5620-0.00040.0008-0.2508-47.4858189.3043-0.00020.0005-0.25064519.537434516.80374493.86711513091.70904494.01273235036.52644494.18316918463.98684494.323714798099.9150
3-44000.1521304933.7231-0.0500-19.2247384.4943-0.0707-0.1207-206.76691146.6627-0.0016-0.1819-210.18541155.3447-0.0008-0.1827-211.79321159.4016-0.0004-0.1830-212.54701161.2979-0.0002-0.18324-59000.15213011100.8770-0.0500-43.2556865.1123-0.0707-0.1207-465.22562579.9911-0.0016-0.1819-472.91722599.5255-0.0008-0.1827-476.53472608.6537-0.0004-0.1830-478.23072612.9202-0.0002-0.18325-86000.254130614.86600.2929614.86602099.5423-0.07070.07070.2929614.86602099.5423-0.00160.00160.2929614.86602099.5423-0.00080.00080.2929614.86602099.5423-0.00040.00040.2929614.86602099.5423-0.00020.00020.29298-39000.15213011100.8770-0.0500-43.2556865.1123-0.0707-0.1207-465.22562579.9911-0.0016-0.1819-472.91722599.5255-0.0008-0.1827-476.53472608.6537-0.0004-0.1830-478.23072612.9202-0.0002-0.1832509.13004214.2612-522.35228406.1872-541.15388453.9380-549.99678476.2513-554.14238486.68068-56000.254130614.8660-0.2929-63.2566215.9982-0.07070.0707-0.2929-63.2566215.9982-0.00160.0016-0.2929-63.2566215.9982-0.00080.0008-0.2929-63.2566215.9982-0.00040.0004-0.2929-63.2566215.9982-0.00020.0002-0.29295-69000.15213011100.87700.057111100.8770194265.3470-0.0707-0.0136-87.57011196.6761-0.0016-0.0748-91.15741218.9815-0.0008-0.0755-92.85801229.3902-0.0004-0.0759-93.65811234.2521-0.0002-0.07606-76000.1521307400.58460.05717400.5846129510.2313-0.0707-0.0136-58.3801797.7841-0.0016-0.0748-60.7716812.6543-0.0008-0.0755-61.9053819.5934-0.0004-0.0759-62.4388822.8347-0.0002-0.07607-86000.2031301822.92210.07621822.922123925.8525-0.07070.07070.07621822.922123925.8525-0.00160.00160.07621822.922123925.8525-0.00080.00080.07621822.922123925.8525-0.00040.00040.07621822.922123925.8525-0.00020.00020.076220261.1271347917.42911613.715326136.31091607.736526173.48661604.902226190.83441603.568626198.9376SEGUNDA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)-91.9491789.8530-0.0119-0.1283-2734.383123488.6504-0.0119-0.12837400.5846220340.4340-0.01190.0217922.29894174.0565-0.01190.03330.24235496.5513248792.9939
1822.922129107.5205-0.03330.02942734.383143661.2807-0.03330.0294-15.4958203.3823-0.03330.0333-0.0762-37.5445169.9153-0.03330.0119-0.24234504.265073142.0988
-98.3272814.5997-0.0333-0.1540-221.23621832.8493-0.0333-0.1540614.86602099.5423-0.03330.03330.2929-221.23621832.8493-0.0333-0.154074.06646579.8407-63.2566215.9982-0.03330.0333-0.2929-3.8617284.7141-0.0333-0.0468-2.5744189.8094-0.0333-0.04681822.922123925.8525-0.03330.03330.07621753.229424616.3743TERCERA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)-110.1572858.3023-0.0080-0.1364-2734.383121305.2599-0.0080-0.13647400.5846341719.5185-0.00800.0136922.29893806.6822-0.00800.01560.24995478.3433367689.7628
1822.922162061.7873-0.01560.01382734.383193092.6809-0.01560.0138-15.4958203.3823-0.01560.0156-0.0762-44.5289183.7878-0.01560.0080-0.24994497.2806155541.6382
-154.30431002.2319-0.0156-0.1696-347.18462255.0217-0.0156-0.1696614.86602099.5423-0.01560.01560.2929-347.18462255.0217-0.0156-0.1696-233.80757611.8177-63.2566215.9982-0.01560.0156-0.2929-38.2961817.9830-0.0156-0.0624-25.5308545.3220-0.0156-0.06241822.922123925.8525-0.01560.01560.07621695.838625505.1558CUARTA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)-123.2857903.9290-0.0052-0.1416-2734.383120048.4496-0.0052-0.14167400.5846543711.2095-0.00520.0084922.29893691.3821-0.00520.00730.25205465.2147568354.9702
1822.9221132486.4258-0.00730.00642734.3831198729.6387-0.00730.0064-15.4958203.3823-0.00730.0073-0.0762-47.1387188.6667-0.00730.0052-0.25204494.6707331608.1135
-184.52811088.1859-0.0073-0.1769-415.18812448.4182-0.0073-0.1769614.86602099.5423-0.00730.00730.2929-415.18812448.4182-0.0073-0.1769-400.03838084.5646-63.2566215.9982-0.00730.0073-0.2929-65.25581045.2442-0.0073-0.0698-43.5039696.8295-0.0073-0.06981822.922123925.8525-0.00730.00730.07621650.905825883.9245CUARTA ITERACION:CIRCUITOTRAMOL(m)D(pulg)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)1-2-132.1185933.1632-0.0033-0.14482-3-2734.383119313.1638-0.0033-0.14483-87400.5846879066.6869-0.00330.00528-1922.29893660.2270-0.00330.00340.25215456.3820902973.2409
1-91822.9221283059.6355-0.00340.00309-72734.3831424589.4533-0.00340.00307-8-15.4958203.3823-0.00340.0034-0.07628-1-47.8845190.0339-0.00340.0033-0.25214493.9250708042.5049
3-4-199.54811128.0705-0.0034-0.18034-5-448.98322538.1587-0.0034-0.18035-8614.86602099.5423-0.00340.00340.29298-3-448.98322538.1587-0.0034-0.1803-482.64858303.93038-5-63.2566215.9982-0.00340.0034-0.29295-6-80.12671148.7631-0.0034-0.07326-7-53.4178765.8421-0.0034-0.07327-81822.922123925.8525-0.00340.00340.07621626.121026056.4559DATOS REALESTRAMO1-22-33-88-11-99-77-88-1Q(L/S)-144.84-144.845.16252.143.013.01-76.19-252.14TRAMO3-44-55-88-38-55-66-77-8Q(L/S)3.013.01-76.19-180.32-292.86-73.18-73.1876.19
219387456IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 219387456219387456
Hoja3PROBLEMA N 03:80L/s200L/s75L/sCalcular el caudal en cada unas de las tuberias se sabe que:En los puntos B, C y D las descargas son de 80, 120, 200L/s. resprectivamnete .I ITRAMOL(m)D(pulg)CHQ( supuestos)75L/s 125L/sAB3208900.230230L/sCA8106120-0.170IBC120061200.075BD100061200.075DC3006110-0.125400L/s170L/sCB12006120-0.075120L/sn=1.8511m=0.0254SOLUCION:PRIMERA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.23001919.34126.389549.517IBC0.15212001200.075017145.05141.8661891.5420.01806-0.01635CA0.152810120-0.17011572.91-435.5152561.855-167.26075002.914
BD0.15210001200.07514287.54118.2211576.285IIDC0.152300110-0.1255035.30-107.252858.0170.01635CB0.1521200120-0.07517145.05-141.8661891.542-0.01806-130.89644325.8432SEGUNDA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.24811919.34145.372586.033IBC0.15212001200.076717145.05147.9271928.2770.00674-0.00716CA0.152810120-0.151911572.91-353.7592328.310-60.45974842.619
BD0.15210001200.09114287.54170.2971864.276IIDC0.152300110-0.1095035.30-82.744761.5450.00716CB0.1521200120-0.07717145.05-147.9271928.277-0.00674-60.37364554.0976TERCERA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25481919.34152.773599.5660.00295IBC0.15212001200.076317145.05146.4411919.3510.00295-0.00275CA0.152810120-0.145211572.91-325.2402240.0540.00295-26.02554758.971
BD0.15210001200.09914287.54195.8331987.9590.00275IIDC0.152300110-0.1015035.30-72.932718.6100.00275CB0.1521200120-0.07617145.05-146.4411919.3510.00275-0.00295-23.54064625.9207CUARTA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25781919.34156.069605.4770.00113IBC0.15212001200.076517145.05147.1711923.7440.00113-0.00121CA0.152810120-0.142211572.91-313.0962201.2050.00113-9.85644730.425
BD0.15210001200.10114287.54206.0692035.0760.00121IIDC0.152300110-0.0995035.30-69.317702.0110.00121CB0.1521200120-0.07717145.05-147.1711923.7440.00121-0.00113-10.41954660.8307QUINTA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25891919.34157.332607.7260.00049IBC0.15212001200.076417145.05146.8791921.9870.00049-0.00046CA0.152810120-0.141111572.91-308.5252186.3710.00049-4.31364716.085
BD0.15210001200.10214287.54210.6422055.7140.00046IIDC0.152300110-0.0985035.30-67.756694.6970.00046CB0.1521200120-0.07617145.05-146.8791921.9870.00046-0.00049-3.99364672.3985SEXTA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25941919.34157.889608.7130.00019IBC0.15212001200.076517145.05146.9951922.6800.00019-0.00020CA0.152810120-0.140611572.91-306.5292179.8540.00019-1.64534711.248
BD0.15210001200.10314287.54212.4022063.5950.00020IIDC0.152300110-0.0975035.30-67.164691.8970.00020CB0.1521200120-0.07617145.05-146.9951922.6800.00020-0.00019-1.75584678.1726SETIMA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25961919.34158.101609.0900.00008IBC0.15212001200.076417145.05146.9441922.3790.00008-0.00008CA0.152810120-0.140411572.91-305.7682177.3650.00008-0.72204708.834
BD0.15210001200.10314287.54213.1772067.0540.00008IIDC0.152300110-0.0975035.30-66.904690.6670.00008CB0.1521200120-0.07617145.05-146.9441922.3790.00008-0.00008-0.67104680.0998OCTAVA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25971919.34158.195609.2550.00003IBC0.15212001200.076417145.05146.9631922.4940.00003-0.00003CA0.152810120-0.140311572.91-305.4342176.2720.00003-0.27574708.021
BD0.15210001200.10314287.54213.4742068.3760.00003IIDC0.152300110-0.0975035.30-66.805690.1970.00003CB0.1521200120-0.07617145.05-146.9631922.4940.00003-0.00003-0.29474681.0659NOVENA ITERACION:CIRCUITOTRAMOD(m)L(m)CHQ (m3/s)kHpHp/QQotros circuitosAB0.203320900.25971919.34158.230609.3190.00001IBC0.15212001200.076417145.05146.9551922.4430.00001-0.00003CA0.152810120-0.140311572.91-305.3072175.8550.00001-0.12104707.616
BD0.15210001200.10314287.54213.6042068.9560.00001IIDC0.152300110-0.0975035.30-66.762689.9900.00001CB0.1521200120-0.07617145.05-146.9551922.4430.00001-0.00001-0.11264681.3887DATOS REALESTRAMOABBCCABDDCCBQ(L/s)259.6876.44-140.32103.24-96.76-76.44
ABDC
Hoja4PROBLEMA N 04:SOLUCION:320L/sDATOS:ASUMIDOS89.60l/s106.67l/sTRAMOL(m)D(pulg)Q(supuestos)1-2400789.60D=6"D=8"2-3900889.603-8600644.80III106.67l/s8-190010123.7389.60l/s123.73l/s1-96008106.67D=8"D=10"D=8"9-79008106.677-8600860.95D=6"D=8"8-160010123.7344.80l/s60.95l/s3-4400644.804-5900644.8044.80l/s229.49l/s45.71l/s5-860012229.49IIIIV8-3900644.80D=6"D=12"D=6"8-560012229.495-6900645.71D=6"D=6"6-7600645.7144.80l/s45.71l/s7-8600860.95320L/s>Utilizaremos las formulas de wazen-wilians:hallar la districbucion de los caudales en cada tuberia?wazen-wilians:n1.852tubo de acero:CH=140PRIMERA ITERACION:CIRCUITOTRAMOL(m)D(m)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)1-24000.1781402030.1019-0.0896-23.2995260.03960.0245-0.06512-39000.2031402383.7357-0.0896-2383.735726604.19320.0245-0.06513-86000.1521406451.5604-0.0448-6451.5604144008.04380.0245-0.02038-19000.254140804.02670.1237804.02676498.06030.02450.04730.1955-8054.5690177370.3368
1-96000.2031401589.15710.10671589.157114898.3482-0.04730.05949-79000.2031402383.73570.10672383.735722347.5223-0.04730.05947-86000.2031401589.15710.06101589.157126072.1094-0.04730.04730.06108-16000.254140536.0178-0.1237-11.184090.3883-0.0473-0.0245-0.19555550.865963408.3682
3-44000.1521404301.0402-0.0448-13.6754305.2546-0.0473-0.09214-59000.1521409677.3405-0.0448-30.7697686.8228-0.0473-0.09215-86000.305140220.56530.2295220.5653961.1287-0.04730.04730.22958-39000.1521409677.34050.04489677.3405216012.0656-0.0473-0.00259853.4608217965.27178-56000.305140220.5653-0.2295-14.446162.9500-0.04730.0473-0.22955-69000.1521409677.34050.04579677.3405211691.8243-0.0473-0.00166-76000.1521406451.56040.04576451.5604141127.8829-0.0473-0.00167-86000.2031401589.1571-0.0610-8.9361146.6084-0.04730.0473-0.061016105.5186353029.2656SEGUNDA ITERACION:CIRCUITOTRAMOL(m)D(m)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)-12.8877198.03400.0121-0.0530-2383.735736628.87650.0121-0.0530-6451.5604318154.93270.0121-0.0082804.02674112.08530.01210.03210.2397-8044.1571359093.9287
1589.157126756.0830-0.03210.02732383.735740134.1245-0.03210.02731589.157126072.1094-0.03210.03210.0610-26.0977133.4731-0.0321-0.0121-0.23975535.952393095.7900
-51.9153563.8523-0.0321-0.1242-116.80931268.6678-0.0321-0.1242220.5653961.1287-0.03210.03210.2295-0.143958.2216-0.0321-0.034651.69682851.8704-14.446162.9500-0.03210.0321-0.2295-0.061239.2892-0.0321-0.0337-0.040826.1928-0.0321-0.0337-8.9361146.6084-0.03210.0321-0.0610-23.4843275.0405TERCERA ITERACION:CIRCUITOTRAMOL(m)D(m)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)-8.8061166.21100.0052-0.0478-2383.735744991.96520.0052-0.0478-6451.5604788567.75500.0052-0.0030804.02673353.80640.00520.01740.2623-8040.0755837079.7375
1589.157158247.0007-0.01740.00992383.735787370.5010-0.01740.00991589.157126072.1094-0.01740.01740.0610-38.0659158.7827-0.0174-0.0052-0.26235523.9841171848.3937
-90.3472727.5292-0.0174-0.1415-203.28121636.9407-0.0174-0.1415220.5653961.1287-0.01740.01740.2295-19.0529550.9216-0.0174-0.0519-92.11593876.5203-14.446162.9500-0.01740.0174-0.2295-18.1306538.4901-0.0174-0.0510-12.0871358.9934-0.0174-0.0510-8.9361146.6084-0.01740.0174-0.0610-53.59991107.0420CUARTA ITERACION:CIRCUITOTRAMOL(m)D(m)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)-7.2765152.24570.0020-0.0458-2383.735749874.46410.0020-0.0458-6451.56042154316.54150.0020-0.0010804.02673065.52490.00200.00700.2712-8038.54602207408.7762
1589.1571160116.0779-0.00700.00292383.7357240174.1168-0.00700.00291589.157126072.1094-0.00700.00700.0610-44.9593171.4169-0.0070-0.0020-0.27125517.0907426533.7209
-115.1163813.3035-0.0070-0.1485-259.01171829.9329-0.0070-0.1485220.5653961.1287-0.00700.00700.2295-40.4652779.0505-0.0070-0.0589-194.02794383.4156-14.446162.9500-0.00700.0070-0.2295-39.1560767.3538-0.0070-0.0580-26.1040511.5692-0.0070-0.0580-8.9361146.6084-0.00700.0070-0.0610-88.64231488.4813CUARTA ITERACION:CIRCUITOTRAMOL(m)D(m)CHkQ(supuestos)Hp=KQ^nHp/QQOtros circuitrosQ(corregida)v1-20.178-6.7319146.89320.0007-0.04511.81815536232-30.203-2383.735752014.56170.0007-0.04511.39202519933-80.152-6451.56046274384.35680.0007-0.00030.01877468588-10.254804.02672964.35600.00070.00220.27415.4090051426-8038.00136329510.1678
1-90.2031589.1571540476.8221-0.00220.00080.02400739769-70.2032383.7357810715.2332-0.00220.00080.02400739767-80.2031589.157126072.1094-0.00220.00220.06101.87954345388-10.254-47.8420176.3879-0.0022-0.0007-0.27415.40900514265514.20801377440.5526
3-40.152-125.8567847.3696-0.0022-0.15078.26072548444-50.152-283.17771906.5815-0.0022-0.15078.26072548445-80.305220.5653961.1287-0.00220.00220.22953.14510271268-30.152-51.1154867.4453-0.0022-0.06113.3488519252-239.58454582.52518-50.305-14.446162.9500-0.00220.0022-0.22953.14510271265-60.152-49.6564855.9670-0.0022-0.06023.29873076656-70.152-33.1043570.6446-0.0022-0.06023.29873076657-80.203-8.9361146.6084-0.00220.0022-0.06101.8795434538-106.14301636.1700DATOS REALESTRAMO1-22-33-88-11-99-77-88-1Q(L/S)-45.14-45.14-0.34274.080.780.7860.95-274.08
TRAMO3-44-55-88-38-55-66-77-8Q(L/S)0.780.7860.95-61.09-229.49-60.17-60.17-60.95
219387456IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811 IIIIIIVI 3-4 400 0,152 140 4301,040 141,6667 4301,0402 30,3603 -14,50901 127,15766 4-5 900 0,152 140 9677,341 141,6667 9677,3405 68,3106 -14,50901 127,15766 5-8 600 0,254 140 536,018 80,5556 536,0178 6,6540 -14,50901 66,04655 8-3 900 0,152 140 9677,341 41,6667 9677,3405 232,2562 -14,50901 14,50901 41,66667 24191,7391 337,5811
