Hardy Cross.xlsx
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HARDY CROSS
I CH
120 7022.39582317
II
III
IV
TRAMO AB AF FE BE BE BC CD ED FE FG GH EH EH ED HI DI
LONGITUD DIAMETRO CONSTANTE 1 19.685 ### 1.2 23.622 ### 1 11.811 ### 1.2 15.748 ### 1.2 15.748 ### 1 19.685 ### 1.2 15.748 ### 1 15.748 ### 1 11.811 ### 1.2 15.748 ### 1 15.748 ### 1.2 11.811 ### 1.2 11.811 ### 1 15.748 ### 1 11.811 ### 1.2 11.811 ###
D^4.866 1982727.13 4814585.38 165099.947 669420.22 669420.22 1982727.13 669420.22 669420.22 165099.947 669420.22 669420.22 165099.947 165099.947 669420.22 165099.947 165099.947
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -230 270 120 -100 100 -130 -30 70 -120 150 50 -50 50 -70 50 -50
HF -2.891 1.922 10.420 -2.2009 2.201 -1.0061 -0.2373 0.9481 -10.420 4.660 0.51 -2.48 2.4754 -0.9481 2.0628 -2.4754
SUM. HF
7.2498
1.906
-7.726
1.1147
VAR. Q -30 -30 -54 -10 10 -20 -20 -16 54 24 24 27 -27 16 -4 -4
Q -260 240 66 -110 110 -150 -50 54 -66 174 74 -23 23 -54 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -260 240 66 -110 110 -150 -50 54 -66 174 74 -23 23 -54 46 -54
HF -3.640 1.540 3.447 -2.6417 2.642 -1.3129 -0.6132 0.5826 -3.447 6.101 1.04 -0.57 0.5680 -0.5826 1.7738 -2.8461
SUM. HF
-1.2948
1.298
3.124
-1.0868
VAR. Q 7 7 21 20 -20 -13 -13 -17 -21 -13 -13 -18 18 17 5 5
Q -253 247 87 -91 91 -163 -63 37 -87 160 60 -41 41 -37 51 -49
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -253 247 87 -91 91 -163 -63 37 -87 160 60 -41 41 -37 51 -49
HF -3.455 1.627 5.695 -1.8311 1.831 -1.5239 -0.9281 0.2856 -5.695 5.262 0.72 -1.68 1.6770 -0.2856 2.1164 -2.4118
SUM. HF
2.0364
-0.335
-1.393
1.0960
VAR. Q -10 -10 -15 -14 14 3 3 8 15 5 5 9 -9 -8 -4 -4
Q -264 236 71 -104 104 -159 -59 44 -71 165 65 -31 31 -44 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -264 236 71 -104 104 -159 -59 44 -71 165 65 -31 31 -44 46 -54
HF -3.721 1.503 3.972 -2.3821 2.382 -1.4643 -0.8353 0.4068 -3.972 5.567 0.83 -1.04 1.0418 -0.4068 1.8010 -2.8091
SUM. HF
-0.6271
0.489
1.383
-0.3730
VAR. Q
Q 3 3 9 8 -8 -5 -5 -6 -9 -6 -6 -7 7 6 2 2
-260 240 80 -96 96 -164 -64 38 -80 160 60 -38 38 -38 48 -52
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -260 240 80 -96 96 -164 -64 38 -80 160 60 -38 38 -38 48 -52
HF -3.632 1.544 4.943 -2.0473 2.047 -1.5466 -0.9643 0.3064 -4.943 5.228 0.70 -1.52 1.5150 -0.3064 1.9106 -2.6644
SUM. HF
0.8080
-0.157
-0.526
0.4548
VAR. Q
Q -4 -4 -6 -6 6 2 2 3 6 2 2 4 -4 -3 -2 -2
-264 236 74 -102 102 -162 -62 41 -74 162 62 -35 35 -41 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -264 236 74 -102 102 -162 -62 41 -74 162 62 -35 35 -41 46 -54
HF -3.742 1.494 4.262 -2.2818 2.282 -1.5192 -0.9208 0.3583 -4.262 5.347 0.75 -1.25 1.2541 -0.3583 1.7820 -2.8349
SUM. HF
-0.2677
0.200
0.578
-0.1571
VAR. Q
Q 1 1 4 3 -3 -2 -2 -3 -4 -2 -2 -3 3 3 1 1
-263 237 78 -99 99 -164 -64 39 -78 159 59 -37 37 -39 47 -53
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -263 237 78 -99 99 -164 -64 39 -78 159 59 -37 37 -39 47 -53
HF -3.704 1.511 4.663 -2.1430 2.143 -1.5533 -0.9750 0.3180 -4.663 5.210 0.70 -1.45 1.4534 -0.3180 1.8268 -2.7744
SUM. HF
0.3270
-0.067
-0.209
0.1877
VAR. Q
Q -2 -2 -3 -2 2 1 1 1 3 1 1 2 -2 -1 -1 -1
-265 235 75 -101 101 -164 -64 40 -75 160 60 -36 36 -40 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -265 235 75 -101 101 -164 -64 40 -75 160 60 -36 36 -40 46 -54
HF -3.749 1.490 4.388 -2.2404 2.240 -1.5417 -0.9564 0.3396 -4.388 5.258 0.72 -1.35 1.3461 -0.3396 1.7741 -2.8457
SUM. HF
-0.1115
0.082
0.239
-0.0651
VAR. Q
Q 1 1 2 1 -1 -1 -1 -1 -2 -1 -1 -1 1 1 0 0
-264 236 77 -100 100 -165 -65 39 -77 159 59 -37 37 -39 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -264 236 77 -100 100 -165 -65 39 -77 159 59 -37 37 -39 46 -54
HF -3.734 1.497 4.553 -2.1832 2.183 -1.5557 -0.9788 0.3232 -4.553 5.202 0.70 -1.43 1.4287 -0.3232 1.7924 -2.8207
SUM. HF
0.1334
-0.028
-0.084
0.0772
VAR. Q
Q -1 -1 -1 -1 1 0 0 1 1 0 0 1 -1 -1 0 0
-265 235 76 -101 101 -164 -64 40 -76 160 60 -37 37 -40 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -265 235 76 -101 101 -164 -64 40 -76 160 60 -37 37 -40 46 -54
HF -3.752 1.489 4.441 -2.2234 2.223 -1.5508 -0.9711 0.3321 -4.441 5.221 0.70 -1.38 1.3846 -0.3321 1.7708 -2.8502
SUM. HF
-0.0460
0.034
0.098
-0.0268
VAR. Q
Q 0 0 1 1 -1 0 0 0 -1 0 0 0 0 0 0 0
-265 235 76 -100 100 -165 -65 39 -76 159 59 -37 37 -39 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -265 235 76 -100 100 -165 -65 39 -76 159 59 -37 37 -39 46 -54
HF -3.746 1.492 4.508 -2.1999 2.200 -1.5566 -0.9803 0.3254 -4.508 5.199 0.69 -1.42 1.4186 -0.3254 1.7783 -2.8399
SUM. HF
0.0546
-0.012
-0.034
0.0317
VAR. Q
Q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-265 235 76 -100 100 -164 -64 40 -76 159 59 -37 37 -40 46 -54
I CH
120 7022.39582317
II
III
IV
TRAMO AB AF FE BE BE BC CD ED FE FG GH EH EH ED HI DI
LONGITUD DIAMETRO CONSTANTE 1 19.685 ### 1.2 23.622 ### 1 11.811 ### 1.2 15.748 ### 1.2 15.748 ### 1 19.685 ### 1.2 15.748 ### 1 15.748 ### 1 11.811 ### 1.2 15.748 ### 1 15.748 ### 1.2 11.811 ### 1.2 11.811 ### 1 15.748 ### 1 11.811 ### 1.2 11.811 ###
D^4.866 1982727.13 4814585.38 165099.947 669420.22 669420.22 1982727.13 669420.22 669420.22 165099.947 669420.22 669420.22 165099.947 165099.947 669420.22 165099.947 165099.947
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -230 270 120 -100 100 -130 -30 70 -120 150 50 -50 50 -70 50 -50
HF -2.891 1.922 10.420 -2.2009 2.201 -1.0061 -0.2373 0.9481 -10.420 4.660 0.51 -2.48 2.4754 -0.9481 2.0628 -2.4754
SUM. HF
7.2498
1.906
-7.726
1.1147
VAR. Q -30 -30 -54 -10 10 -20 -20 -16 54 24 24 27 -27 16 -4 -4
Q -260 240 66 -110 110 -150 -50 54 -66 174 74 -23 23 -54 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -260 240 66 -110 110 -150 -50 54 -66 174 74 -23 23 -54 46 -54
HF -3.640 1.540 3.447 -2.6417 2.642 -1.3129 -0.6132 0.5826 -3.447 6.101 1.04 -0.57 0.5680 -0.5826 1.7738 -2.8461
SUM. HF
-1.2948
1.298
3.124
-1.0868
VAR. Q 7 7 21 20 -20 -13 -13 -17 -21 -13 -13 -18 18 17 5 5
Q -253 247 87 -91 91 -163 -63 37 -87 160 60 -41 41 -37 51 -49
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -253 247 87 -91 91 -163 -63 37 -87 160 60 -41 41 -37 51 -49
HF -3.455 1.627 5.695 -1.8311 1.831 -1.5239 -0.9281 0.2856 -5.695 5.262 0.72 -1.68 1.6770 -0.2856 2.1164 -2.4118
SUM. HF
2.0364
-0.335
-1.393
1.0960
VAR. Q -10 -10 -15 -14 14 3 3 8 15 5 5 9 -9 -8 -4 -4
Q -264 236 71 -104 104 -159 -59 44 -71 165 65 -31 31 -44 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -264 236 71 -104 104 -159 -59 44 -71 165 65 -31 31 -44 46 -54
HF -3.721 1.503 3.972 -2.3821 2.382 -1.4643 -0.8353 0.4068 -3.972 5.567 0.83 -1.04 1.0418 -0.4068 1.8010 -2.8091
SUM. HF
-0.6271
0.489
1.383
-0.3730
VAR. Q
Q 3 3 9 8 -8 -5 -5 -6 -9 -6 -6 -7 7 6 2 2
-260 240 80 -96 96 -164 -64 38 -80 160 60 -38 38 -38 48 -52
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -260 240 80 -96 96 -164 -64 38 -80 160 60 -38 38 -38 48 -52
HF -3.632 1.544 4.943 -2.0473 2.047 -1.5466 -0.9643 0.3064 -4.943 5.228 0.70 -1.52 1.5150 -0.3064 1.9106 -2.6644
SUM. HF
0.8080
-0.157
-0.526
0.4548
VAR. Q
Q -4 -4 -6 -6 6 2 2 3 6 2 2 4 -4 -3 -2 -2
-264 236 74 -102 102 -162 -62 41 -74 162 62 -35 35 -41 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -264 236 74 -102 102 -162 -62 41 -74 162 62 -35 35 -41 46 -54
HF -3.742 1.494 4.262 -2.2818 2.282 -1.5192 -0.9208 0.3583 -4.262 5.347 0.75 -1.25 1.2541 -0.3583 1.7820 -2.8349
SUM. HF
-0.2677
0.200
0.578
-0.1571
VAR. Q
Q 1 1 4 3 -3 -2 -2 -3 -4 -2 -2 -3 3 3 1 1
-263 237 78 -99 99 -164 -64 39 -78 159 59 -37 37 -39 47 -53
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -263 237 78 -99 99 -164 -64 39 -78 159 59 -37 37 -39 47 -53
HF -3.704 1.511 4.663 -2.1430 2.143 -1.5533 -0.9750 0.3180 -4.663 5.210 0.70 -1.45 1.4534 -0.3180 1.8268 -2.7744
SUM. HF
0.3270
-0.067
-0.209
0.1877
VAR. Q
Q -2 -2 -3 -2 2 1 1 1 3 1 1 2 -2 -1 -1 -1
-265 235 75 -101 101 -164 -64 40 -75 160 60 -36 36 -40 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -265 235 75 -101 101 -164 -64 40 -75 160 60 -36 36 -40 46 -54
HF -3.749 1.490 4.388 -2.2404 2.240 -1.5417 -0.9564 0.3396 -4.388 5.258 0.72 -1.35 1.3461 -0.3396 1.7741 -2.8457
SUM. HF
-0.1115
0.082
0.239
-0.0651
VAR. Q
Q 1 1 2 1 -1 -1 -1 -1 -2 -1 -1 -1 1 1 0 0
-264 236 77 -100 100 -165 -65 39 -77 159 59 -37 37 -39 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -264 236 77 -100 100 -165 -65 39 -77 159 59 -37 37 -39 46 -54
HF -3.734 1.497 4.553 -2.1832 2.183 -1.5557 -0.9788 0.3232 -4.553 5.202 0.70 -1.43 1.4287 -0.3232 1.7924 -2.8207
SUM. HF
0.1334
-0.028
-0.084
0.0772
VAR. Q
Q -1 -1 -1 -1 1 0 0 1 1 0 0 1 -1 -1 0 0
-265 235 76 -101 101 -164 -64 40 -76 160 60 -37 37 -40 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -265 235 76 -101 101 -164 -64 40 -76 160 60 -37 37 -40 46 -54
HF -3.752 1.489 4.441 -2.2234 2.223 -1.5508 -0.9711 0.3321 -4.441 5.221 0.70 -1.38 1.3846 -0.3321 1.7708 -2.8502
SUM. HF
-0.0460
0.034
0.098
-0.0268
VAR. Q
Q 0 0 1 1 -1 0 0 0 -1 0 0 0 0 0 0 0
-265 235 76 -100 100 -165 -65 39 -76 159 59 -37 37 -39 46 -54
K 0.000124 0.000061 0.001484 0.000439 0.000439 0.000124 0.000439 0.000366 0.001484 0.000439 0.000366 0.001781 0.001781 0.000366 0.001484 0.001781
Q -265 235 76 -100 100 -165 -65 39 -76 159 59 -37 37 -39 46 -54
HF -3.746 1.492 4.508 -2.1999 2.200 -1.5566 -0.9803 0.3254 -4.508 5.199 0.69 -1.42 1.4186 -0.3254 1.7783 -2.8399
SUM. HF
0.0546
-0.012
-0.034
0.0317
VAR. Q
Q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-265 235 76 -100 100 -164 -64 40 -76 159 59 -37 37 -40 46 -54
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