tính toán độ giãn dài bó cáp 12.7 mm elongation Calculation of cable 12.7 mm Cầu / Bridge: LRB08 Quang Nam Thi công dầm I 33 Dự án/ Project Vị trí/ Location Hạng mục/ Item Da Nang - Quang Ngai Expressway Project: Pr Time - Công thức tính độ dãn dài/ Formula of elongation computation: L = P*L/(Ap*Ep) - Trong đó/ With: P (kN) Lực kéo bình quân/ Average force Ep (kPa) Môđuyn đàn hồi tao cáp/ Modulus of elasticity Ap (m2) Diện tích bó cáp/ Nominal area (m) Chiều dài tao cáp tính phần ôm kích/ L Length of cable include part in jack Lneo = (mm) Độ tụt nêm đóng neo (Lấy theo thí nghiệm) Displacement when fixed anchorage(according to test results) P = Ptk * (1 e ( Kx + ) ) Ptk (kN) Lực kéo thiết kế/ Design force x (m) Chiều dài bó cáp DUL đo từ đầu kích đến điểm xét Tendon length from the head of Jack to the point being considered K (1/m) Hệ số ma sát lắc bó cáp/ Coefficient of friction Hệ số ma sát/ Coefficient of friction Tổng giá trị tuyệt đối thay đổi góc đờng trục cáp DUL từ đầu kích Absolute total value of the angle changing of line cable from the head jack từ đầu kích gần (nếu căng hai đầu) đến điểm xem xét (Rad) or from the nearest jack head to the point being considered (if tension two ends) e :Cơ số logarit tự nhiên/ Natural logarithm - Kết / Result: Tên cáp/ Cable No C1 C2 C3 C4 C5 main contractor Độ tụt Giãn dài tt/ neo / Actual Anchor elongation sliding DL C dài/ length Giãn dài tk/ Design elongation L (m) (mm) (mm) mm (%) 32.790 32.762 32.739 33.940 32.704 216.6 217.5 218.4 217.7 219.1 6 6 222.6 223.5 224.4 223.7 225.1 0.66 0.66 0.67 0.67 0.67 Consultant L/L calculation of elongation Block name: Cable name: Type tension : Type 0.5"-15 Point 10 11 12 13 14 15 16 17 18 19 20 Cable 01 C1 A head Ap (m ) 0.001485 Xi (m) 0.000 1.000 2.350 3.350 4.350 5.350 6.350 7.350 8.350 9.350 10.350 11.350 12.350 13.350 14.350 15.350 16.350 17.350 18.350 19.350 Yi (m) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Total length of cable Designed Elongation x Two head Ep (MPa) Ptk (kN) 197000 1927.6 Zi (m) 1.440 1.315 1.160 1.054 0.956 0.865 0.783 0.708 0.641 0.582 0.531 0.488 0.453 0.425 0.406 0.394 0.390 0.394 0.406 0.425 x (m) 0.000 1.000 1.350 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.25 K(1/m) 0.00066 (rad.) Y (m) z (m) Li (m) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.125 0.155 0.106 0.098 0.091 0.082 0.075 0.067 0.059 0.051 0.043 0.035 0.028 0.019 0.012 0.004 0.004 0.012 0.019 1.008 1.359 1.006 1.005 1.004 1.003 1.003 1.002 1.002 1.001 1.001 1.001 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 L = 32.790 (m) = 207.6 (mm) = 9.0 (mm) L = 216.6 (mm) L/L= 0.661 (%) Elongation cable of OVM jack Total elongation Elongation percentage (rad.) 0.000 -0.010 -0.009 -0.008 -0.007 -0.009 -0.007 -0.008 -0.008 -0.008 -0.008 -0.008 -0.007 -0.009 -0.007 -0.008 0.000 0.008 0.007 (+) (rad.) 0.000 0.010 0.009 0.008 0.007 0.009 0.007 0.008 0.008 0.008 0.008 0.008 0.007 0.009 0.007 0.008 0.000 0.008 0.007 (+) (rad.) 0.010 0.019 0.027 0.034 0.043 0.049 0.057 0.065 0.073 0.081 0.089 0.096 0.105 0.112 0.120 0.120 0.128 0.135 à* 0.003 0.005 0.007 0.008 0.011 0.012 0.014 0.016 0.018 0.020 0.022 0.024 0.026 0.028 0.030 0.030 0.032 0.034 K*x 0.001 0.002 0.002 0.003 0.004 0.004 0.005 0.006 0.006 0.007 0.008 0.008 0.009 0.010 0.010 0.011 0.011 0.012 0.013 (à*+ K*x) 0.001 0.004 0.007 0.010 0.012 0.015 0.017 0.020 0.023 0.025 0.028 0.031 0.033 0.036 0.038 0.041 0.042 0.044 0.047 Px (KN) 1927.60 1926.32 1919.77 1914.32 1909.27 1904.70 1899.19 1894.64 1889.62 1884.61 1879.61 1874.63 1869.65 1865.16 1859.74 1855.26 1850.33 1849.11 1844.20 1839.76 Pav (KN) 1926.96 1923.04 1917.04 1911.79 1906.98 1901.94 1896.91 1892.13 1887.11 1882.11 1877.12 1872.14 1867.4 1862.45 1857.5 1852.8 1849.72 1846.66 1841.98 (mm) 6.638 8.933 6.590 6.566 6.546 6.523 6.502 6.482 6.462 6.442 6.422 6.403 6.386 6.368 6.350 6.333 6.323 6.313 6.298 21 22 23 24 25 26 27 28 29 30 31 32 33 20.350 21.350 22.350 23.350 24.350 25.350 26.350 27.350 28.350 29.350 30.350 31.700 32.700 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.453 0.488 0.531 0.582 0.641 0.708 0.783 0.865 0.956 1.054 1.160 1.315 1.440 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.350 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.028 0.035 0.043 0.051 0.059 0.067 0.075 0.082 0.091 0.098 0.106 0.155 0.125 1.000 1.001 1.001 1.001 1.002 1.002 1.003 1.003 1.004 1.005 1.006 1.359 1.008 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.009 0.007 0.008 0.008 0.008 0.008 0.008 0.007 0.009 0.007 0.008 0.009 0.010 0.009 0.007 0.008 0.008 0.008 0.008 0.008 0.007 0.009 0.007 0.008 0.009 0.010 0.144 0.151 0.159 0.167 0.175 0.183 0.191 0.198 0.207 0.214 0.222 0.231 0.241 0.036 0.038 0.040 0.042 0.044 0.046 0.048 0.050 0.052 0.054 0.055 0.058 0.060 0.013 0.014 0.015 0.015 0.016 0.017 0.017 0.018 0.019 0.019 0.020 0.021 0.022 0.050 0.052 0.055 0.057 0.060 0.063 0.065 0.068 0.071 0.073 0.076 0.079 0.082 1834.42 1830.01 1825.15 1820.31 1815.48 1810.67 1805.87 1801.54 1796.33 1792.03 1787.30 1781.81 1776.17 1837.09 1832.21 1827.58 1822.73 1817.89 1813.07 1808.27 1803.71 1798.94 1794.18 1789.67 1784.56 1778.99 6.282 6.267 6.253 6.239 6.225 6.211 6.199 6.186 6.175 6.162 6.152 8.289 6.128 calculation of elongation Block name: Cable name: Type tension : Type 0.5"-15 Point 10 11 12 13 14 15 16 17 18 19 20 21 Cable 01 C1 A head Ap (m ) 0.001485 Xi (m) 0.000 1.000 2.350 3.350 4.350 5.350 6.350 7.350 8.350 9.350 10.350 11.350 12.350 13.350 14.350 15.350 16.350 17.350 18.350 19.350 20.350 Yi (m) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Total length of cable Designed Elongation x Two head Ep (MPa) Ptk (kN) 197000 1928 Zi (m) 1.130 1.027 0.898 0.810 0.729 0.654 0.585 0.524 0.468 0.419 0.377 0.341 0.312 0.289 0.273 0.263 0.260 0.263 0.273 0.289 0.312 x (m) 0.000 1.000 1.350 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.25 K(1/m) 0.00066 (rad.) Y (m) z (m) Li (m) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.103 0.129 0.088 0.081 0.075 0.069 0.061 0.056 0.049 0.042 0.036 0.029 0.023 0.016 0.010 0.003 0.003 0.010 0.016 0.023 1.005 1.356 1.004 1.003 1.003 1.002 1.002 1.002 1.001 1.001 1.001 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Elongation cable of OVM jack Total elongation Elongation percentage (rad.) 0.000 -0.007 -0.007 -0.007 -0.006 -0.006 -0.008 -0.005 -0.007 -0.007 -0.006 -0.007 -0.006 -0.007 -0.006 -0.007 0.000 0.007 0.006 0.007 (+) (rad.) 0.000 0.007 0.007 0.007 0.006 0.006 0.008 0.005 0.007 0.007 0.006 0.007 0.006 0.007 0.006 0.007 0.000 0.007 0.006 0.007 (+) (rad.) 0.007 0.015 0.022 0.028 0.034 0.042 0.047 0.054 0.061 0.067 0.074 0.080 0.087 0.093 0.100 0.100 0.107 0.113 0.120 à* 0.002 0.004 0.005 0.007 0.008 0.010 0.012 0.013 0.015 0.017 0.018 0.020 0.022 0.023 0.025 0.025 0.027 0.028 0.030 K*x 0.001 0.002 0.002 0.003 0.004 0.004 0.005 0.006 0.006 0.007 0.008 0.008 0.009 0.009 0.010 0.011 0.011 0.012 0.013 0.013 (à*+ K*x) 0.001 0.003 0.006 0.008 0.010 0.013 0.015 0.017 0.020 0.022 0.024 0.027 0.029 0.031 0.033 0.036 0.036 0.039 0.041 0.043 L = 32.762 (m) = 208.5 (mm) = 9.0 (mm) L = 217.5 (mm) L/L= 0.664 (%) Px (KN) 1927.600 1926.321 1921.054 1916.189 1911.597 1907.486 1903.382 1898.339 1894.723 1890.170 1885.626 1881.561 1877.034 1872.986 1868.479 1864.448 1859.960 1858.733 1854.259 1850.258 1845.805 Pav (KN) 1926.96 1923.69 1918.62 1913.89 1909.54 1905.43 1900.86 1896.53 1892.45 1887.9 1883.59 1879.3 1875.01 1870.73 1866.46 1862.2 1859.35 1856.5 1852.26 1848.03 (mm) 6.622 8.918 6.584 6.564 6.546 6.529 6.510 6.493 6.477 6.459 6.443 6.427 6.411 6.396 6.380 6.366 6.356 6.346 6.332 6.319 22 23 24 25 26 27 28 29 30 31 32 33 21.350 22.350 23.350 24.350 25.350 26.350 27.350 28.350 29.350 30.350 31.700 32.700 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.341 0.377 0.419 0.468 0.524 0.585 0.654 0.729 0.810 0.898 1.027 1.130 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.350 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.029 0.036 0.042 0.049 0.056 0.061 0.069 0.075 0.081 0.088 0.129 0.103 1.000 1.001 1.001 1.001 1.002 1.002 1.002 1.003 1.003 1.004 1.356 1.005 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.006 0.007 0.006 0.007 0.007 0.005 0.008 0.006 0.006 0.007 0.007 0.007 0.006 0.007 0.006 0.007 0.007 0.005 0.008 0.006 0.006 0.007 0.007 0.007 0.126 0.133 0.139 0.146 0.153 0.158 0.166 0.171 0.177 0.184 0.192 0.199 0.031 0.033 0.035 0.036 0.038 0.039 0.041 0.043 0.044 0.046 0.048 0.050 0.014 0.015 0.015 0.016 0.017 0.017 0.018 0.019 0.019 0.020 0.021 0.022 0.046 0.048 0.050 0.052 0.055 0.057 0.059 0.062 0.064 0.066 0.069 0.071 1841.824 1837.393 1833.432 1829.024 1824.628 1821.152 1816.326 1812.418 1808.520 1804.184 1799.197 1794.693 1843.81 1839.61 1835.41 1831.23 1826.83 1822.89 1818.74 1814.37 1810.47 1806.35 1801.69 1796.95 6.305 6.292 6.279 6.267 6.254 6.243 6.232 6.219 6.209 6.198 8.352 6.175 L= P= E= A= Dta = 32.762 m 1927.60 kN 197000 1.97E+08 0.001485 0.215868 Mpa KN/m m2 (m) 215.8684 mm Chieu dai dau kich va nem nem gión di u l 680.00 mm 0.00 m 4.48 mm calculation of elongation Block name: Cable 01 Cable name: C1 Type tension : A head Type 0.5"-15 Point 10 11 12 13 14 15 16 17 18 19 20 21 Ap (m ) 0.001485 Xi (m) 0.000 1.000 2.350 3.350 4.350 5.350 6.350 7.350 8.350 9.350 10.350 11.350 12.350 13.350 14.350 15.350 16.350 17.350 18.350 19.350 20.350 Yi (m) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Total length of cable Designed Elongation x Two head Ep (MPa) Ptk (kN) 197000 1928 Zi (m) 0.820 0.738 0.636 0.566 0.502 0.442 0.388 0.339 0.295 0.256 0.223 0.195 0.171 0.153 0.140 0.133 0.130 0.133 0.140 0.153 0.171 x (m) 0.000 1.000 1.350 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Elongation cable of OVM jack Total elongation Elongation percentage K(1/m) 0.25 0.00066 Y (m) z (m) Li (m) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.082 0.102 0.070 0.064 0.060 0.054 0.049 0.044 0.039 0.033 0.028 0.024 0.018 0.013 0.007 0.003 0.003 0.007 0.013 0.018 1.003 1.354 1.002 1.002 1.002 1.001 1.001 1.001 1.001 1.001 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 (rad.) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 L= = = (rad.) 0.000 -0.006 -0.006 -0.006 -0.004 -0.006 -0.005 -0.005 -0.005 -0.006 -0.005 -0.004 -0.006 -0.005 -0.006 -0.004 0.000 0.004 0.006 0.005 (+) (rad.) 0.000 0.006 0.006 0.006 0.004 0.006 0.005 0.005 0.005 0.006 0.005 0.004 0.006 0.005 0.006 0.004 0.000 0.004 0.006 0.005 (+) (rad.) 0.006 0.012 0.018 0.022 0.028 0.033 0.038 0.043 0.049 0.054 0.058 0.064 0.069 0.075 0.079 0.079 0.083 0.089 0.094 à* 0.002 0.003 0.004 0.005 0.007 0.008 0.009 0.011 0.012 0.013 0.014 0.016 0.017 0.019 0.020 0.020 0.021 0.022 0.023 K*x 0.001 0.002 0.002 0.003 0.004 0.004 0.005 0.006 0.006 0.007 0.008 0.008 0.009 0.009 0.010 0.011 0.011 0.012 0.013 0.013 L = L/L= (à*+K *x) 0.001 0.003 0.005 0.007 0.009 0.011 0.013 0.015 0.017 0.019 0.021 0.023 0.025 0.027 0.029 0.031 0.031 0.033 0.035 0.037 Px (KN) 1927.600 1926.324 1921.524 1917.602 1913.475 1910.306 1906.192 1902.559 1898.933 1895.312 1891.226 1887.619 1884.489 1880.424 1876.836 1872.787 1869.681 1868.447 1865.348 1861.323 1857.772 32.739 (m) 209.4 (mm) 9.0 218.4 0.667 Pav (KN) 1926.962 1923.924 1919.563 1915.539 1911.891 1908.249 1904.376 1900.746 1897.123 1893.269 1889.422 1886.054 1882.456 1878.63 1874.812 1871.234 1869.064 1866.898 1863.336 1859.548 (mm) (mm) (%) (mm) 6.609 8.904 6.578 6.561 6.547 6.532 6.517 6.504 6.490 6.475 6.461 6.449 6.436 6.422 6.409 6.396 6.389 6.382 6.370 6.357 22 23 24 25 26 27 28 29 30 31 32 33 21.350 22.350 23.350 24.350 25.350 26.350 27.350 28.350 29.350 30.350 31.700 32.700 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.195 0.223 0.256 0.295 0.339 0.388 0.442 0.502 0.566 0.636 0.738 0.820 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.350 1.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.024 0.028 0.033 0.039 0.044 0.049 0.054 0.060 0.064 0.070 0.102 0.082 1.000 1.000 1.001 1.001 1.001 1.001 1.001 1.002 1.002 1.002 1.354 1.003 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.006 0.004 0.005 0.006 0.005 0.005 0.005 0.006 0.004 0.006 0.006 0.006 0.006 0.004 0.005 0.006 0.005 0.005 0.005 0.006 0.004 0.006 0.006 0.006 0.100 0.104 0.109 0.115 0.120 0.125 0.130 0.136 0.140 0.146 0.151 0.158 0.025 0.026 0.027 0.029 0.030 0.031 0.032 0.034 0.035 0.036 0.038 0.039 0.014 0.015 0.015 0.016 0.017 0.017 0.018 0.019 0.019 0.020 0.021 0.022 0.039 0.041 0.043 0.045 0.047 0.049 0.051 0.053 0.054 0.056 0.059 0.061 1853.765 1850.691 1847.161 1843.178 1839.663 1836.157 1832.657 1828.710 1825.681 1821.751 1817.611 1813.502 1855.768 1852.228 1848.926 1845.169 1841.421 1837.91 1834.407 1830.683 1827.195 1823.716 1819.681 1815.556 6.345 6.334 6.324 6.312 6.301 6.290 6.280 6.269 6.259 6.249 8.421 6.227 L= P= E= A= Dta = 32.739 m 1927.60 kN 197000 1.97E+08 0.001485 0.215718 Mpa KN/m m2 (m) 215.718 mm Chieu dai dau kich va nem nem gión di u l 680.00 mm 0.00 m 4.48 mm calculation of elongation Block name: Cable name: Type tension : Type 0.5"-15 Point 10 11 12 13 14 15 16 17 18 19 20 21 Cable 01 C1 A head Ap (m ) 0.001485 Xi (m) 0.000 1.000 2.350 3.350 4.350 5.350 6.350 7.350 8.350 9.350 10.350 11.350 12.350 13.350 14.350 15.350 16.350 17.350 18.350 19.350 20.350 Yi (m) 0.000 0.000 0.000 0.000 -0.025 -0.050 -0.075 -0.100 -0.125 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 -0.150 x Two head Ep (MPa) Ptk (kN) 197000 1928 Zi (m) 0.510 0.465 0.409 0.370 0.335 0.302 0.272 0.245 0.221 0.200 0.181 0.166 0.153 0.143 0.136 0.131 0.130 0.131 0.136 0.143 0.153 Total length of cable Designed Elongation x (m) 0.000 1.000 1.350 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Elongation cable of OVM jack Total elongation Elongation percentage K(1/m) 0.25 0.00066 Y (m) z (m) Li (m) 0.000 0.000 0.000 0.025 0.025 0.025 0.025 0.025 0.025 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.045 0.056 0.039 0.035 0.033 0.030 0.027 0.024 0.021 0.019 0.015 0.013 0.010 0.007 0.005 0.001 0.001 0.005 0.007 0.010 1.001 1.351 1.001 1.001 1.001 1.001 1.001 1.001 1.001 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 (rad.) 0.000 0.000 0.000 0.025 0.000 0.000 0.000 0.000 0.000 -0.025 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (rad.) 0.000 -0.004 -0.002 -0.004 -0.002 -0.003 -0.003 -0.003 -0.003 -0.002 -0.004 -0.002 -0.003 -0.003 -0.002 -0.004 0.000 0.004 0.002 0.003 (+) (rad.) 0.000 0.004 0.002 0.025 0.002 0.003 0.003 0.003 0.003 0.025 0.004 0.002 0.003 0.003 0.002 0.004 0.000 0.004 0.002 0.003 (+) (rad.) 0.004 0.006 0.031 0.033 0.036 0.039 0.042 0.045 0.070 0.074 0.076 0.079 0.082 0.084 0.088 0.088 0.092 0.094 0.097 à* 0.001 0.001 0.008 0.008 0.009 0.010 0.011 0.011 0.018 0.019 0.019 0.020 0.021 0.021 0.022 0.022 0.023 0.024 0.024 K*x (à*+ K*x) 0.001 0.002 0.002 0.003 0.004 0.004 0.005 0.006 0.006 0.007 0.007 0.008 0.009 0.009 0.010 0.011 0.011 0.012 0.013 0.013 0.001 0.002 0.004 0.011 0.012 0.013 0.015 0.016 0.017 0.024 0.026 0.027 0.029 0.030 0.031 0.033 0.034 0.035 0.036 0.038 L = 32.715 (m) = 208.7 (mm) = 9.0 (mm) L = 217.7 (mm) L/L= 0.665 (%) Px (KN) 1927.60 1926.33 1922.92 1920.46 1907.09 1904.88 1902.19 1899.51 1896.84 1894.16 1881.08 1877.97 1875.79 1873.15 1870.51 1868.34 1865.24 1864.01 1860.92 1858.76 1856.14 Pav (KN) 1926.96 1924.62 1921.69 1913.77 1905.98 1903.53 1900.85 1898.17 1895.50 1887.62 1879.52 1876.88 1874.47 1871.83 1869.42 1866.79 1864.62 1862.46 1859.84 1857.45 (mm) 6.594 8.889 6.574 6.548 6.521 6.512 6.502 6.492 6.483 6.454 6.425 6.416 6.408 6.399 6.390 6.381 6.374 6.366 6.358 6.350 22 23 24 25 26 27 28 29 30 31 32 33 21.350 22.350 23.350 24.350 25.350 26.350 27.350 28.350 29.350 30.350 31.700 32.700 -0.150 -0.150 -0.150 -0.125 -0.100 -0.075 -0.050 -0.025 0.000 0.000 0.000 0.000 0.166 0.181 0.200 0.221 0.245 0.272 0.302 0.335 0.370 0.409 0.465 0.510 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.350 1.000 0.000 0.000 0.000 0.025 0.025 0.025 0.025 0.025 0.000 0.000 0.000 0.000 0.013 0.015 0.019 0.021 0.024 0.027 0.030 0.033 0.035 0.039 0.056 0.045 1.000 1.000 1.000 1.001 1.001 1.001 1.001 1.001 1.001 1.001 1.351 1.001 0.000 0.000 0.000 0.025 0.000 0.000 0.000 0.000 -0.025 0.000 0.000 0.000 0.003 0.002 0.004 0.002 0.003 0.003 0.003 0.003 0.002 0.004 0.002 0.004 0.003 0.002 0.004 0.025 0.003 0.003 0.003 0.003 0.025 0.004 0.002 0.004 0.100 0.102 0.106 0.131 0.134 0.137 0.140 0.143 0.169 0.172 0.175 0.178 0.025 0.026 0.027 0.033 0.034 0.034 0.035 0.036 0.042 0.043 0.044 0.045 0.014 0.015 0.015 0.016 0.017 0.017 0.018 0.019 0.019 0.020 0.021 0.022 0.039 0.040 0.042 0.049 0.050 0.052 0.053 0.055 0.062 0.063 0.065 0.066 1853.52 1851.38 1848.31 1835.54 1832.96 1830.37 1827.80 1825.22 1812.62 1809.61 1806.88 1804.10 1854.83 1852.45 1849.84 1841.92 1834.25 1831.67 1829.08 1826.51 1818.92 1811.11 1808.25 1805.49 6.341 6.333 6.324 6.300 6.274 6.265 6.257 6.249 6.221 6.196 8.352 6.178 L= P= E= A= Dta = 32.715 m 1927.60 kN 197000 1.97E+08 0.001485 0.215563 Mpa KN/m m2 (m) 215.5627 mm Chieu dai dau kich va nem nem gión di u l 680.00 mm 0.00 m 4.48 mm calculation of elongation Block name: Cable name: Type tension : Type 0.5"-15 Point 10 11 12 13 14 15 16 17 18 19 20 21 Cable 01 C1 A head Ap (m ) 0.001485 Xi (m) 0.000 1.000 2.350 3.350 4.350 5.350 6.350 7.350 8.350 9.350 10.350 11.350 12.350 13.350 14.350 15.350 16.350 17.350 18.350 19.350 20.350 Yi (m) 0.000 0.000 0.000 0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.150 0.150 0.150 0.150 0.150 0.150 0.150 0.150 0.150 0.150 0.150 Total length of cable Designed Elongation x Two head Ep (kPa) Ptk (kN) 197000 1928 Zi (m) 0.200 0.192 0.181 0.174 0.168 0.162 0.156 0.151 0.147 0.143 0.139 0.137 0.134 0.132 0.131 0.130 0.130 0.130 0.131 0.132 0.134 x (m) 0.000 1.000 1.350 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.25 K(1/m) 0.00066 (rad.) Y (m) z (m) Li (m) 0.000 0.000 0.000 0.025 0.025 0.025 0.025 0.025 0.025 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.008 0.011 0.007 0.006 0.006 0.006 0.005 0.004 0.004 0.004 0.002 0.003 0.002 0.001 0.001 0.000 0.000 0.001 0.001 0.002 1.000 1.350 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.000 0.000 0.000 0.025 0.000 0.000 0.000 0.000 0.000 -0.025 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Elongation cable of OVM jack Total elongation Elongation percentage (rad.) 0.000 0.000 -0.001 -0.001 0.000 0.000 -0.001 -0.001 0.000 0.000 -0.002 0.001 -0.001 -0.001 0.000 -0.001 0.000 0.001 0.000 0.001 (+) (rad.) 0.000 0.000 0.001 0.025 0.000 0.000 0.001 0.001 0.000 0.025 0.002 0.001 0.001 0.001 0.000 0.001 0.000 0.001 0.000 0.001 (+) (rad.) 0.000 0.001 0.026 0.026 0.026 0.027 0.028 0.028 0.053 0.055 0.056 0.057 0.058 0.058 0.059 0.059 0.060 0.060 0.061 à* 0.000 0.000 0.007 0.007 0.007 0.007 0.007 0.007 0.013 0.014 0.014 0.014 0.015 0.015 0.015 0.015 0.015 0.015 0.015 K*x 0.001 0.002 0.002 0.003 0.004 0.004 0.005 0.006 0.006 0.007 0.007 0.008 0.009 0.009 0.010 0.011 0.011 0.012 0.013 0.013 (à*+ K*x) 0.001 0.002 0.003 0.009 0.010 0.011 0.012 0.013 0.013 0.020 0.021 0.022 0.023 0.024 0.025 0.026 0.026 0.027 0.028 0.029 L = 32.704 (m) = 210 (mm) = 9.0 (mm) L = 219.1 (mm) L/L= 0.670 (%) Px (KN) 1927.60 1926.33 1924.54 1922.72 1909.47 1908.21 1906.95 1905.22 1903.48 1902.23 1889.13 1886.94 1885.22 1883.51 1881.80 1880.55 1878.84 1877.60 1875.90 1874.66 1872.95 Pav (KN) 1926.96 1925.43 1923.63 1916.10 1908.84 1907.58 1906.08 1904.35 1902.86 1895.68 1888.04 1886.08 1884.37 1882.65 1881.18 1879.70 1878.22 1876.75 1875.28 1873.81 (mm) 6.587 8.886 6.576 6.552 6.527 6.523 6.518 6.512 6.507 6.480 6.454 6.447 6.441 6.435 6.430 6.425 6.420 6.415 6.410 6.405 22 23 24 25 26 27 28 29 30 31 32 33 21.350 22.350 23.350 24.350 25.350 26.350 27.350 28.350 29.350 30.350 31.700 32.700 0.150 0.150 0.150 0.125 0.100 0.075 0.050 0.025 0.000 0.000 0.000 0.000 0.137 0.139 0.143 0.147 0.151 0.156 0.162 0.168 0.174 0.181 0.192 0.200 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.350 1.000 0.000 0.000 0.000 0.025 0.025 0.025 0.025 0.025 0.000 0.000 0.000 0.000 0.003 0.002 0.004 0.004 0.004 0.005 0.006 0.006 0.006 0.007 0.011 0.008 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.350 1.000 0.000 0.001 0.000 -0.001 0.000 0.002 0.025 0.000 0.000 0.000 0.000 0.001 0.000 0.001 0.000 0.000 -0.025 0.000 0.000 0.001 0.000 0.001 0.000 0.000 0.001 0.001 0.002 0.025 0.000 0.001 0.001 0.000 0.025 0.001 0.001 0.000 0.062 0.063 0.065 0.090 0.090 0.091 0.092 0.092 0.117 0.118 0.119 0.120 0.016 0.016 0.016 0.023 0.023 0.023 0.023 0.023 0.029 0.030 0.030 0.030 0.014 0.015 0.015 0.016 0.017 0.017 0.018 0.019 0.019 0.020 0.021 0.022 0.030 0.031 0.032 0.039 0.039 0.040 0.041 0.042 0.049 0.050 0.051 0.051 1871.25 1869.55 1867.38 1854.52 1853.30 1851.61 1849.93 1848.71 1835.98 1834.31 1832.15 1830.87 1872.10 1870.40 1868.46 1860.95 1853.91 1852.46 1850.77 1849.32 1842.34 1835.15 1833.23 1831.51 6.399 6.394 6.387 6.363 6.339 6.334 6.329 6.324 6.298 6.273 8.460 6.261 L= P= E= A= Dta = 32.704 m 1927.60 kN 197000 1.97E+08 0.001485 0.215488 Mpa KN/m m2 (m) 215.4879 mm Chieu dai dau kich va nem nem gión di u l 680.00 mm 0.00 m 4.48 mm Phụ lục / Appendix Bảng theo dõi bớc căng cáp đo độ dãn dài bó cáp Table of PRESTRESSING CABLE step and measure the elongation of each tendon dầm I BTCT DƯL 33.0M - Dầm số - Dầm hay biên PCI girder 33.0M - Girder No Thứ tự Tên bó căng / / Sequence Cable tension Đầu đo / Measure at girder end forward to Bớc căng lực / Prestressing cable step (mm) 0,0xP 0,1xP Bó 1 1,0xP 0,2xP 0,4xP 0,6xP 0,8xP 1,0xP 0,2xP 0,4xP 0,6xP 0,8xP 1,0xP 0,6xP 0,8xP 1,0xP Quang Ngai Da Nang Quang Ngai - Trong đó: 0,4xP 0,6xP 0,8xP 1,0xP 205.78 227.44 217.46 206.59 228.34 218.36 207.44 229.28 217.69 206.80 228.57 219.07 208.12 230.03 0,1xP Da Nang 0,2xP 216.61 L1 0,1xP Quang Ngai 0,4xP Max (1.05Ltk) 0,1xP Da Nang 0,2xP Min (0.95Ltk) Độ dãn dài thực tế / Actual elongation Ltt=L1+L2 (mm) 0,1xP Quang Ngai 0,0xP 0,1xP Bó 0,8xP Da Nang 0,0xP 0,1xP Bó 0,6xP Quang Ngai 0,0xP 0,1xP Bó 0,4xP Da Nang 0,0xP 0,1xP Bó 0,2xP Độ dãn dài cho phép / allow elongation Lcp (mm) Độ dãn dài thiết kế / Design elongation Ltk (mm) 0,1xP + L1: Trị số dãn dài thực đo từ lực kéo ban đầu đến lực căng kéo lớn Elongation values observed from initial traction to greatest tension + L2: Trị số dãn dài tính đổi lực kéo ban đầu để so dây L2 = 0.1 * L1 cấp lực 1,0xP Change elongation values of initial traction for equalizing strings L2 = 0.1 * L1 at force level 1,0xP L2 Ltt - Độ vồng dầm sau căng kéo theo thiết kế: 41.4 (mm) Design deflection of girder just after anchor set is: - Độ vồng dầm sau căng kéo theo thực tế: (mm) Actual deflection of girder just after anchor set is: Đại diện TVGS / Consultant Đại diện nhà thầu / Main contractor Đại diện nhà thầu phụ / sub contractor ... 0 .020 0 .021 0 .021 0 .022 0 .022 0 .023 0 .024 0 .024 K*x (à*+ K*x) 0.001 0. 002 0. 002 0.003 0.004 0.004 0.005 0.006 0.006 0.007 0.007 0.008 0.009 0.009 0.010 0.011 0.011 0.012 0.013 0.013 0.001 0. 002. .. 0 .025 0.000 0.000 0.000 0.000 -0 .025 0.000 0.000 0.000 0.003 0. 002 0.004 0. 002 0.003 0.003 0.003 0.003 0. 002 0.004 0. 002 0.004 0.003 0. 002 0.004 0 .025 0.003 0.003 0.003 0.003 0 .025 0.004 0. 002. .. 0.000 0.000 0.000 0 .025 0 .025 0 .025 0 .025 0 .025 0 .025 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.045 0.056 0.039 0.035 0.033 0.030 0 .027 0 .024 0 .021 0.019 0.015 0.013