Perdidas de presfuerzo
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Cable 1 Cable= 12 T13 Longitud de anclaje 0.22 m Longitud= 22.77 m Area del toron 99 mm2 Datos de la viga Esfuerzo de tensado= 151 kg/mm2 A= 0.363 m2 Modulo de elasticidad= 19800 kg/mm2 RH= 75 % I= 0.053 m4 Entrada de cono= 6 mm f´c= 350 kg/cm2 Yi= 0.513 m K= 0.00066 W= 2500 kg/m3 Ys= 0.637 m μ= 0.25 h= 1.150 m Tensado DERECHA Pun Abscisa Ordenada Angulo U Esf. Fricc. Ent. Cono Momento Fuerza Acort. Elastico Fuerza Alargamiento to m m ° kg/mm2 kg/mm2 pp Ton kg/mm2 Ton mm 0 0.22 0.300 23.301 0.25 134.4 134.419 0.000 318.375 131.900 156.697 0.000 1 1.49 0.249 23.301 0.25 134.530 134.530 10.417 318.617 131.797 156.575 8.427 2 2.59 0.207 23.056 0.25 134.771 134.771 19.738 318.890 131.759 156.530 7.322 3 3.69 0.170 20.794 0.25 136.206 136.206 27.962 321.723 132.851 157.827 7.320 4 4.79 0.139 18.530 0.25 137.658 137.658 35.090 324.638 133.954 159.137 7.381 5 5.89 0.114 16.265 0.25 139.125 139.125 41.121 327.634 135.095 160.493 7.442 6 6.99 0.096 14.003 0.25 140.607 140.156 46.056 330.172 135.857 161.398 7.505 7 8.09 0.083 13.692 0.25 140.900 139.365 49.894 329.251 134.928 160.295 7.548 8 9.19 0.076 13.381 0.25 141.193 138.579 52.635 328.340 134.092 159.301 7.496 9 10.29 0.075 13.183 0.25 141.417 138.045 54.280 327.764 133.587 158.701 7.450 10 11.39 0.075 13.183 0.25 141.519 137.948 54.828 327.764 133.504 158.602 7.421 11 12.49 0.075 13.183 0.25 141.621 137.851 54.280 327.764 133.393 158.470 7.417 12 13.59 0.078 12.721 0.25 142.009 137.802 52.635 328.340 133.315 158.378 7.411 13 14.69 0.094 11.995 0.25 142.563 137.783 49.894 329.251 133.346 158.415 7.406 14 15.79 0.123 11.269 0.25 143.118 137.767 46.056 330.172 133.468 158.560 7.408 15 16.89 0.167 8.593 0.25 144.903 136.661 41.121 327.634 132.631 157.565 7.415 16 17.99 0.225 5.916 0.25 146.712 135.607 35.090 324.638 131.902 156.700 7.368 17 19.09 0.296 3.239 0.25 148.543 134.604 27.962 321.723 131.249 155.924 7.328 18 20.19 0.382 0.566 0.25 150.394 133.655 19.738 318.890 130.643 155.204 7.292 19 21.29 0.481 0.000 0.25 150.875 133.666 10.417 318.617 130.933 155.548 7.258 20 22.55 0.600 0.000 0.25 151.0 133.574 0.000 318.375 131.054 155.693 8.365 150 Perdidas por entrada de cono A/2=Eg/2 59400 kg/mm2 Datos de la viga A1= A= 0.5613 m2 A2= I= 0.12 m4 Yi= 0.7686 m Long. Inf. C 21.18 m Ys= 0.5814 m h= 1.35 m Perdidas diferidas to Abscisa Ord P. Inst Contracc Momento sc Flujo plast. Relajacion Perd dif Esf Final Fuerza to m Tot kg/mm2 kg/mm2 Ton m kg/mm2 kg/mm2 kg/mm2 kg/mm2 Ton 0 0.22 0.450 131.900 3.234 0.000 9.043 1.4889623 13.766 118.133 140.342394 1 1.49 0.365 131.797 3.234 14.948 9.977 1.42867079 14.639 117.157 139.183047 2 2.59 0.294 131.759 3.234 28.322 10.637 1.38464102 15.256 116.503 138.405841 3 3.69 0.233 132.851 3.234 40.123 11.241 1.42059389 15.896 116.955 138.942798 4 4.79 0.182 133.954 3.234 50.351 11.717 1.46346908 16.415 117.539 139.63575 5 5.89 0.141 135.095 3.234 59.005 12.080 1.5154552 16.830 118.265 140.499167 6 6.99 0.109 135.857 3.234 66.085 12.307 1.58096205 17.122 118.734 141.056484 7 8.09 0.088 134.928 3.234 71.593 12.220 1.59200137 17.047 117.882 140.043378 8 9.19 0.077 134.092 3.234 75.526 12.027 1.61722488 16.878 117.214 139.249961 9 10.29 0.075 133.587 3.234 77.886 11.779 1.64811124 16.662 116.925 138.907002 10 11.39 0.075 133.504 3.234 78.673 11.691 1.66108093 16.587 116.917 138.897504 11 12.49 0.075 133.393 3.234 77.886 11.779 1.66241172 16.676 116.716 138.659121 12 13.59 0.077 133.315 3.234 75.526 12.027 1.67438343 16.935 116.380 138.259187 13 14.69 0.088 133.346 3.234 71.593 12.220 1.70841797 17.163 116.183 138.025438 14 15.79 0.109 133.468 3.234 66.085 12.307 1.75672702 17.298 116.170 138.009812 15 16.89 0.141 132.631 3.234 59.005 12.080 1.9199207 17.234 115.397 137.091318 16 17.99 0.182 131.902 3.234 50.351 11.717 2.09725793 17.049 114.853 136.445805 17 19.09 0.233 131.249 3.234 40.123 11.241 2.28415091 16.759 114.490 136.01377 18 20.19 0.294 130.643 3.234 28.322 10.637 2.47823173 16.349 114.293 135.78065 19 21.29 0.365 130.933 3.234 14.948 9.977 2.57277883 15.784 115.149 136.797167 20 22.55 0.450 131.054 3.234 0.000 9.043 2.64965381 14.927 116.128 137.959498
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Calculo tablas perdidas de presfuerzo
Transcript of Perdidas de presfuerzo
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Cable 1Cable= 12 T13 Longitud de anclaje 0.22 mLongitud= 22.77 m Area del toron= 99 mm2 Datos de la viga Esfuerzo de tensado= 151 kg/mm2 A= 0.363 m2Modulo de elasticidad= 19800 kg/mm2 RH= 75 % I= 0.053 m4Entrada de cono= 6 mm fc= 350 kg/cm2 Yi= 0.513 mK= 0.00066 W= 2500 kg/m3 Ys= 0.637 m= 0.25 h= 1.150 mTensado DERECHA
Pun Abscisa Ordenada Angulo U Esf. Fricc. Ent. Cono Momento Fuerza Acort. Elastico Fuerza Alargamientoto m m kg/mm2 kg/mm2 pp Ton kg/mm2 Ton mm0 0.22 0.300 23.301 0.25 134.4 134.419 0.000 318.375 131.900 156.697 0.0001 1.49 0.249 23.301 0.25 134.530 134.530 10.417 318.617 131.797 156.575 8.4272 2.59 0.207 23.056 0.25 134.771 134.771 19.738 318.890 131.759 156.530 7.3223 3.69 0.170 20.794 0.25 136.206 136.206 27.962 321.723 132.851 157.827 7.3204 4.79 0.139 18.530 0.25 137.658 137.658 35.090 324.638 133.954 159.137 7.3815 5.89 0.114 16.265 0.25 139.125 139.125 41.121 327.634 135.095 160.493 7.4426 6.99 0.096 14.003 0.25 140.607 140.156 46.056 330.172 135.857 161.398 7.5057 8.09 0.083 13.692 0.25 140.900 139.365 49.894 329.251 134.928 160.295 7.5488 9.19 0.076 13.381 0.25 141.193 138.579 52.635 328.340 134.092 159.301 7.4969 10.29 0.075 13.183 0.25 141.417 138.045 54.280 327.764 133.587 158.701 7.45010 11.39 0.075 13.183 0.25 141.519 137.948 54.828 327.764 133.504 158.602 7.42111 12.49 0.075 13.183 0.25 141.621 137.851 54.280 327.764 133.393 158.470 7.41712 13.59 0.078 12.721 0.25 142.009 137.802 52.635 328.340 133.315 158.378 7.41113 14.69 0.094 11.995 0.25 142.563 137.783 49.894 329.251 133.346 158.415 7.40614 15.79 0.123 11.269 0.25 143.118 137.767 46.056 330.172 133.468 158.560 7.40815 16.89 0.167 8.593 0.25 144.903 136.661 41.121 327.634 132.631 157.565 7.41516 17.99 0.225 5.916 0.25 146.712 135.607 35.090 324.638 131.902 156.700 7.36817 19.09 0.296 3.239 0.25 148.543 134.604 27.962 321.723 131.249 155.924 7.32818 20.19 0.382 0.566 0.25 150.394 133.655 19.738 318.890 130.643 155.204 7.29219 21.29 0.481 0.000 0.25 150.875 133.666 10.417 318.617 130.933 155.548 7.25820 22.55 0.600 0.000 0.25 151.0 133.574 0.000 318.375 131.054 155.693 8.365
150Perdidas por entrada de cono A/2=Eg/2 59400 kg/mm2 Datos de la viga A1= A= 0.5613 m2A2= I= 0.12 m4
Yi= 0.7686 mLong. Inf. C 21.18 m Ys= 0.5814 m
h= 1.35 mPerdidas diferidas
to Abscisa Ord P. Inst Contracc Momento sc Flujo plast. Relajacion Perd dif Esf Final Fuerzato m Tot kg/mm2 kg/mm2 Ton m kg/mm2 kg/mm2 kg/mm2 kg/mm2 Ton0 0.22 0.450 131.900 3.234 0.000 9.043 1.4889623 13.766 118.133 140.3423941 1.49 0.365 131.797 3.234 14.948 9.977 1.42867079 14.639 117.157 139.1830472 2.59 0.294 131.759 3.234 28.322 10.637 1.38464102 15.256 116.503 138.4058413 3.69 0.233 132.851 3.234 40.123 11.241 1.42059389 15.896 116.955 138.9427984 4.79 0.182 133.954 3.234 50.351 11.717 1.46346908 16.415 117.539 139.635755 5.89 0.141 135.095 3.234 59.005 12.080 1.5154552 16.830 118.265 140.4991676 6.99 0.109 135.857 3.234 66.085 12.307 1.58096205 17.122 118.734 141.0564847 8.09 0.088 134.928 3.234 71.593 12.220 1.59200137 17.047 117.882 140.0433788 9.19 0.077 134.092 3.234 75.526 12.027 1.61722488 16.878 117.214 139.2499619 10.29 0.075 133.587 3.234 77.886 11.779 1.64811124 16.662 116.925 138.90700210 11.39 0.075 133.504 3.234 78.673 11.691 1.66108093 16.587 116.917 138.89750411 12.49 0.075 133.393 3.234 77.886 11.779 1.66241172 16.676 116.716 138.65912112 13.59 0.077 133.315 3.234 75.526 12.027 1.67438343 16.935 116.380 138.25918713 14.69 0.088 133.346 3.234 71.593 12.220 1.70841797 17.163 116.183 138.02543814 15.79 0.109 133.468 3.234 66.085 12.307 1.75672702 17.298 116.170 138.00981215 16.89 0.141 132.631 3.234 59.005 12.080 1.9199207 17.234 115.397 137.09131816 17.99 0.182 131.902 3.234 50.351 11.717 2.09725793 17.049 114.853 136.44580517 19.09 0.233 131.249 3.234 40.123 11.241 2.28415091 16.759 114.490 136.0137718 20.19 0.294 130.643 3.234 28.322 10.637 2.47823173 16.349 114.293 135.7806519 21.29 0.365 130.933 3.234 14.948 9.977 2.57277883 15.784 115.149 136.79716720 22.55 0.450 131.054 3.234 0.000 9.043 2.64965381 14.927 116.128 137.959498
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Cable 2Cable= 12 T13 Longitud de anclaje 0.22 mLongitud= 22.77 m Area del toron= 99 mm2 Datos de la viga Esfuerzo de tensado= 151 kg/mm2 A= 0.363 m2Modulo de elasticidad= 19800 kg/mm2 RH= 75 % I= 0.053 m4Entrada de cono= 6 mm fc= 350 kg/cm2 Yi= 0.513 mK= 0.00066 W= 2500 kg/m3 Ys= 0.637 m= 0.25 h= 1.150 mTensado IZQUIERDA
Pun Abscisa Ordenada Angulo U Esf. Fricc. Ent. Cono Momento Fuerza Acort. Elastico Fuerza Alargamientoto m m kg/mm2 kg/mm2 pp Ton kg/mm2 Ton mm0 0.22 0.600 0.000 0.25 151.0 133.574 0.000 318.375 131.054 155.693 0.0001 1.49 0.481 0.000 0.25 150.875 133.666 10.417 318.617 130.933 155.548 8.3732 2.59 0.382 0.566 0.25 150.394 133.655 19.738 318.890 130.643 155.204 7.2743 3.69 0.296 3.239 0.25 148.543 134.604 27.962 321.723 131.249 155.924 7.2584 4.79 0.225 5.916 0.25 146.712 135.607 35.090 324.638 131.902 156.700 7.2925 5.89 0.167 8.593 0.25 144.903 136.661 41.121 327.634 132.631 157.565 7.3286 6.99 0.123 11.269 0.25 143.118 137.767 46.056 330.172 133.468 158.560 7.3687 8.09 0.094 11.995 0.25 142.563 137.783 49.894 329.251 133.346 158.415 7.4158 9.19 0.078 12.721 0.25 142.009 137.802 52.635 328.340 133.315 158.378 7.4089 10.29 0.075 13.183 0.25 141.621 137.851 54.280 327.764 133.393 158.470 7.40610 11.39 0.075 13.183 0.25 141.519 137.948 54.828 327.764 133.504 158.602 7.41111 12.49 0.075 13.183 0.25 141.417 138.045 54.280 327.764 133.587 158.701 7.41712 13.59 0.076 13.381 0.25 141.193 138.579 52.635 328.340 134.092 159.301 7.42113 14.69 0.083 13.692 0.25 140.900 139.365 49.894 329.251 134.928 160.295 7.45014 15.79 0.096 14.003 0.25 140.607 140.156 46.056 330.172 135.857 161.398 7.49615 16.89 0.114 16.265 0.25 139.125 139.125 41.121 327.634 135.095 160.493 7.54816 17.99 0.139 18.530 0.25 137.658 137.658 35.090 324.638 133.954 159.137 7.50517 19.09 0.170 20.794 0.25 136.206 136.206 27.962 321.723 132.851 157.827 7.44218 20.19 0.207 23.056 0.25 134.771 134.771 19.738 318.890 131.759 156.530 7.38119 21.29 0.249 23.301 0.25 134.530 134.530 10.417 318.617 131.797 156.575 7.32020 22.55 0.300 23.301 0.25 134.4 134.419 0.000 318.375 131.900 156.697 8.420
150Perdidas por entrada de cono A/2=Eg/2 59400 kg/mm2 Datos de la viga A1= A= 0.5613 m2A2= I= 0.12 m4
Yi= 0.7686 mLong. Inf. C 15.93 m Ys= 0.5814 m
h= 1.35 mPerdidas diferidas
to Abscisa Ord P. Inst Contracc Momento sc Flujo plast. Relajacion Perd dif Esf Final Fuerzato m Tot kg/mm2 kg/mm2 Ton m kg/mm2 kg/mm2 kg/mm2 kg/mm2 Ton0 0.22 0.450 131.054 3.234 0.000 9.043 2.64965381 14.927 116.128 137.9594981 1.49 0.365 130.933 3.234 14.948 9.977 2.57277883 15.784 115.149 136.7971672 2.59 0.294 130.643 3.234 28.322 10.637 2.47823173 16.349 114.293 135.780653 3.69 0.233 131.249 3.234 40.123 11.241 2.28415091 16.759 114.490 136.013774 4.79 0.182 131.902 3.234 50.351 11.717 2.09725793 17.049 114.853 136.4458055 5.89 0.141 132.631 3.234 59.005 12.080 1.9199207 17.234 115.397 137.0913186 6.99 0.109 133.468 3.234 66.085 12.307 1.75672702 17.298 116.170 138.0098127 8.09 0.088 133.346 3.234 71.593 12.220 1.70841797 17.163 116.183 138.0254388 9.19 0.077 133.315 3.234 75.526 12.027 1.67438343 16.935 116.380 138.2591879 10.29 0.075 133.393 3.234 77.886 11.779 1.66241172 16.676 116.716 138.65912110 11.39 0.075 133.504 3.234 78.673 11.691 1.66108093 16.587 116.917 138.89750411 12.49 0.075 133.587 3.234 77.886 11.779 1.64811124 16.662 116.925 138.90700212 13.59 0.077 134.092 3.234 75.526 12.027 1.61722488 16.878 117.214 139.24996113 14.69 0.088 134.928 3.234 71.593 12.220 1.59200137 17.047 117.882 140.04337814 15.79 0.109 135.857 3.234 66.085 12.307 1.58096205 17.122 118.734 141.05648415 16.89 0.141 135.095 3.234 59.005 12.080 1.5154552 16.830 118.265 140.49916716 17.99 0.182 133.954 3.234 50.351 11.717 1.46346908 16.415 117.539 139.6357517 19.09 0.233 132.851 3.234 40.123 11.241 1.42059389 15.896 116.955 138.94279818 20.19 0.294 131.759 3.234 28.322 10.637 1.38464102 15.256 116.503 138.40584119 21.29 0.365 131.797 3.234 14.948 9.977 1.42867079 14.639 117.157 139.18304720 22.55 0.450 131.900 3.234 0.000 9.043 1.4889623 13.766 118.133 140.342394
