The lock gates are provided in navigation chambers to change the water level in a canal or river for navigation. There are two sets of gates, one set on either side of the chamber.
In a lock gate, the reaction between the two gates (R) is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAApCAIAAAAktZmJAAAV7ElEQVRogWVaZ9RdVZm+P2aNS10qKmIDAgyjFEEkgIEQWgoELIyKBVtoRhkQEVGaNEO1D8oaBBnpRcoAARJKAkFEiiM6KgJJvu+75fSzez3n3Lvnx3PZk6Xfuuuu8527z977bc/7vs8+PT92ulH4SCekF7pRRNa6UbY1ulGm1bpRtjPCcj92bmyF5W5s/cTpRgnDpRO2M21oTKuF5XjEdsaNrWm1abV0wrTaja3y0jRaeWlarbxUXuInjLGdwb/SCemEbpRutRtb3SiqiPLStMo2yrXGeGVbra2QhjedZYYpL5mhkAUbNq3mhmHnyktumLDcdlOJlJcVL3tubJvg/cQpL4msbWv8xGGc7cyWYuAmLrBFImtoAfebicdTEEx5CZ1iBj9xbmxLVlS8xIS6UZCfG4YLjHedFZZLJ4TlyknpBFWEKGKd9K2RmrlGN53VVkjNjJMQgRsGqYisTav9xMUl/MRxwypeVrysRYWFqCK9KCGeFJYLy5WX2HH8YOv4jmbkhkHa6Ah4ENvlhsGS0ciwuW4UduPGNmoTz2Kw9ooqQmRd0DzOIJ0QmrZjZ5xUhkf5iyplhjFNu9CaZjp5WiUFzSteElkzTTEVVpRO1KKC/Xt/56WwA8wV/Uc3KooXowD6i2OgbGhKWA4dYyrlJdOUKoJ4UV7CmaNlIHwTPPQuLPcTxzSN8YK1rFfaCm2FcdK3RhnORE15xRThhpW8oIroRnHDknKUk4wqUouq4iXTtBYVkTWsAp1KJ3pubP3YTWdvDRwP6sBE0XVNq5vgse+oDuVlM/HNxFNNYHY8m9UpggKCRSeEh+Majo3lhOWwDGIKd0pWlKyA1pSXk9D61ownTQid85oLQngpNWOKQN1E1tgA0xRRULIiJxkWZZpKK5SXVBHYuCedQNDazviJi2BjOxP9JMJG3DRGRqzCGJgdLkoVge6hPtNphHEtqlpUTFMoAhdE1rBPDHVsPSdZyQpglfTiwYfvv+ueO3591+3/dcN1L73853FolOF5mSTliCoCZyxontVpQXMszTRNytEwH3DDuGFUEaYp5uSG9aCViDfQCsKMG1aLChf4xj6gFNyM47FvCI8FKl7CelmdYgwcEh44KoZplUBxaZUM8wF2DEtg30TWRNZUkYqXJSueff63H9hz1xXHf/GW22484aQVy49a9reX/8J4NSqGc8lsVqdZnZasSMoRAh6BQ2RdiyopR0k5SqtkVAyTckRknZOsB2GkE1B8xUvAGDeMW041qXgJm9eiqkRVyzriorAcgaQbhb3CnTA1HmSawgmhjpxkAKGKlwXNlZdzyewg69eiykkmnVBOIkzwIFUkq9N+OpeUo81zGz91zNGbZl4JIRgnP3b0UedfeG4IYVN/Y1KOsjpFqA+yPvRIZD3I+lmdDrI+9tNP5zYPNmV1KixLylEPYKC8BAwUNI8xoyzXVghJADC+Na7RvtFMUwQnkfWW6TonGSYBupasgD/DDnBvbKtkRVolMAU0jmFplcQqA26Im0TUwvK7771z623e+oc/viAUtV7tv3C/884/exyarEowZz+dS6skq1OoUnkJxQEOABzDfEAVK1mdk6wHUyDpIxshP3PDlOHWK+QVoWhFcmW4Mty200QAOIXLwKvhRFHsipcwXckKCDkqhlmdwv2AZPCIkhUIh5gL4B0VK6HNEMK/n/rVpYcf1rQ2hLDq0ovm7bjtmkce9I0ZZv25ZHaYD+ACaZUA52pRIaDwL1Wkn8796aU/FrTkhuV10oORYRNheUFzpDQia2Nl01nYvO2c1ExqVlYplTUzFFmKyBoyQ7UIAQAb/DYnWVKOoIXoDhAVN9MqgaaE5fB8eDvG5DRjiuYkK1j+saOPWrhoweHLl+yy27/us9+Hnnr6iRBCXiazo5lXZl7up3P9dC46P0A+KUezoxmkjAgfaZVUvEzKYQ+IFUsfPMw0lV4yQYyTKKTgBdqKmhYVK2MZB1yJmTyugW/AD8QDCmIMtAA3ARAk5WiQ9aFKZFmMhwF1o1avfWC7ee955LGHB6PZ4WgOYV/WWZIN2Gs+j9ge5oO0SnKSpVUyl8z20zmsWItqkPWTMiloVtAsJ2kPAQa4huUhDDdMapaXiTLct4byiolaKKrttHqDFgHLqL3hRLWohOUx08DUSIpQCrwMwRl1XbJikPURllgdbj/MB8N8EEI4+4KzDl18UE0LGKCmRVGlWTGqaVGQrKA5tIyZYXbEXVaniGjACuAgKYcFTXqoMaFseLtqpB87bjmsLRULIYQQJqENIfhG16JEwoQDIyf7iUMMY98xKSKxo5iBmpB7alHZzgALMQDjI3BAsxUvqSTj0B33lRUnn7oyhDBM5ooqpbwqqlRqZr1imiCyAN4xkBFW0ZbYMFIV01Q40kP9iFrFjW1aJUxTP3am1dbLprN//ssfv3zcF878zje/9Z3TV1160VO/eSKEUIvKd9MKFNURIABTATKRBbA2yiS0hjAvCiFgG24CLHAHpouYd95F5279nrcfeND+aT5UmgtJKaukZoB9bjgqHARXLSqEFRA0lsxTmS1nmlFFmC17sWhjmsYmZFp4O8klCSF869unLzhg35m5jfc9cM/2O7z30itXhRB0o7RXrrOxsfMT54NTXprO+IkznZZOcMtjyxRrRKimCR7LobPYspSEThlqOyfmktmMpEWZ9IczgB7rFT7KcGGZsFy3WnohndCtVo1ihgJxoVzdqFpUyOK6MdJxpote7OewidgD2s5oK7UVIYQVx3/xox8/chyaEMIJJ6045thjQgjcMuWkamQ0rHGSS+K8bsdOSMIl0ZZbN7XntEFqrWm0m1jTam25cdJ6ZazwrfGNMU5qI4yTzmtluLZCKFrTAliDcsM4CQDmkkwfd9I12jjJRB1zs3FSNxp+F+sxqohwQlotrOKG9OAwMAvSu7DcdNp2RhneTXxZZUccufTKH1wWQlj7yEMLFy34wY+vDCFww7RX0BrwLIRx+Ie/duy0VzEFxrpdeWkbPZXHCqGokBQCW6+6sfetEYoSVrpGM1FzSbQVMeloK9qx843RRlivoiKYqH1rMAnCEIvC4eEFTAlhlHCsF/kWtCW6UeBkdKOEoiF0d91zx0GHLDzrnDN/+KMrPzR/z8OWHJwWo0kYg5aJbVkbmvVPPHb6GV8//8JzL7/ykjPO/MZlV6y6+HsX/PL6X0g3ZXvgw37ialHpRhsrtRWu0XBgoah2wjWaS8IFMU5SXgHb285pK1BiCkXxSNNZXCvwOaKGaoyTL7/6V2V4BGDYFUldWK6cZUZQWfVgBLSrtjO1qNrQoLq2TiHglx+17LRvnHLwoQde/6trQwi20+icgRSobZvgH167+nOf//TKr5142umnHH/Cl7/xzVO/evJJl12+qgleOtEErxulnISmQgjWyxACiqgQQggdPCWECe4g0EII3cTjp27s8UgIoRnbEELTWee1kDQvkxDG7dhpI0Lo8Ai3HFWGsHwSxhUvm+CZFkwzpkkPfZUfO8jTT+dKVjRjb1qtNAshfORjy7/17dNDCB87+qjLrlgVwjgOjvgEZuYffR5/2quI8ETUyklm6Pz9997nw3vv9oH3L1y0YL8F85cdsfic877z+jf+89LDDztp5fG77v6+nXaet9Xb3rTNu96+cNGC173+n96/687vfPfWb3rLG3Z+347ves87dthpuzdv9cZ5O2677IjF73z31nt8cLdDFx+01dveNG/Hbd/81je+4U2v236H9751m63esvWb3/6ut+34vh3m7bx9yQquGVWESMo0q3jRQyWADNyGJilHsIx0IoTuf158fvc9drnr3jtCCJ/+7Cc/+vEjtRUGtIdTrrPwZ92oEMJVP//Jvh/ee9HBByw/atknjzl6+VHLjjhy6bnfPSsyIrpRVBLT6i60v7zpl+uffHzVpRf97OqfXnLZxbffccsVV1568603/MdVP354zepbbrvxvgfuefqZDb979un1Tz62/snH1jzy4Ian1mf56L7777n+V9c+seHxh9Y8cNMtv7rpll89seHx1Q/e9/j6R9Y98eijj6954ffPrlv/6OPrHvnd87997MlHH1m/9uFHH0qKkW4VmksUshUve8iNbmy70LqJBTEgLLdjE0K49PLv7bX3HqOkH8Lk/tX37rPfh1Y/+N8hBOTFSLzBq7Miue+Be667/ppbbrvx4bWrf/qzH91w8/UbnlqvX0ufCDnphGn0JIxDGI8nTTfxvjWT0LZj17TWNyaEbpjMhRBco53XrtVKc6V501nwduPQdGNvrAQKElY2nQ1hgtCYhNY4KRR1nfHBgX1CWwUIyEkG/OuhpIfAaGlLViCGr7n26oMOWbjnXrvfevtNIXRCkvn77rXPfh969oVnXGddZ0tWxBzJDdNOhtCFMLFeNa0NoZuEtht79hqZibolkpnaSiZqY6fAVpEcuaoiedNayiomaq4I5ZU2QmgKINRWSMW0EcB8NJrKcMJKLgmXRGpGWFnTAomNGYpiPCOZsLyWdVIOcpLVsuqh0szq1LU20jXTmqSRbWjGoUPZJ52YhHEX2oykU2rN8ILmoABA16DPA6uhvEL9m9Mc/UktKmkFVcS0mqg6r5KyzrqJn4S26Sz2XZG8pgXllTRMGQ69UF4BPvArxBOKGiezYlTWGWFlXiZwBFT+FcnLOsNUhJWUV4PRLG7iWxnegzXAKJlWg4TB7pmmg7wPAggNDxyEKjLI+lQRImoUz7BqpArRz8U2BpU2SAXQWMLyWlSUVyF0N996w0krj7/u+mtgOtifSzK1pCDK8Elov3fJhZ/41MeR+fETqNu8TNDkUF6h+IE6oAImaibqmhZ5mcT7eZlAiT10VGhxgfxoDMAll6wYFUPwcEk5woCsTkfFsJ/ODdI+Ski0EBAJ0oI8gVJAIeI+VJmTjBk2Ce0ll1284IB9P/3ZTy5ZduiSpYfCpJAHFmOiRj1/zbVXf/+HlxsnCStn5jain6tpAXlm5jam+RCiViQvqhTiMVFDI4PR7CjtD0az/eHMKO0TVg6TuV5kVIms/cTFHguOYDsDGgzZkhsGLWR1+o8kDOpnZDWYHeNHxRA8LPrNtErgL4PR3FnnnAmguuPXt354/302/Ga99Wowmk2yAdI75VWaDWtSTN2e5lySECYVyUOYhDDOywSCQV8xQCahtV6FMPatiS1wmg9f3fQ39MKvbHyph+4XYqADjXWLaTW2O8j6IIPASUW/BWEQG1ikzEjpoNtF016LCpwXMAK98+a5jcpwGLMi+eHLl6x99CHXaMqrduyu+P6lXz35pLvvvXO2v0lbcdsdN19y+cUhjH//h+dO+frXnnvhmYtXXfCds7/18it/rWnRH85wQSDVcSd8ab8F81d+7cQQwrnfPevOu26zXiXZgLAyyQbDZA7BMtvf1Ivbmma4zqDOi0cIoJZBToAbQHaE5UfFELpAwgNSIjrAyW7ZXYJaHWR9pqlwfJT2+8OZNB+6Rq974tFtt393fzAzN9hsvfrqySfdfuct3djvtfceTz+zYcNT6w85bNGyIxaHEL74pWMPOWzR/gd8+LTTTznwoP2P/cJnQpgwUc/2N83MbfzsscfcdvvNIYRvn3XGcSd8aaed561++D7rFQJklPY3z77aH84wUWfFqIdmBtYwrU7KUTzNjG35MB/kJENjNDuaibwdzBg5vHgGCl6oFhVo6cgi4CQDRSRVZJQNiiptOhvCeOXJJ179n1dxQYbp3HjSnHrayT+7+qchhCc3rFv3xKMQ5pPHHB1CGIxmD1++5N777goh/Ogn319+1LJR0p/tbyKs/O3vntpzr91n5jZqI5JscMSRS5ctXzw32GydoqJKskFeJmWdlXUGRqSnvKxFNSqGaGxgoiZ402jdTumtzYNNFS9xDVCwnQENHg89p73Qa6fXgDr4PGAFzD94WyJrokhWJojtZ579zeIlBwtJCC2KMmnH7oILz9thp+0WLz3kyafWoVlccfwXP/O5T4UQcHTxv395MYRw3vlnH3LYIsBb05qrfv6TxUsPyYsEkX/Gmd9YcdwXurEXijJR58WoqFJleE2KLB8WVdpDAQA/byZeWG4aDagDP8E0BfWFc8iYybI6RcaGtPGMPT4LUqXiJW4CEfCU8hKk3Th099x/93ErV0zCOIRgWpOTTCgawvjW2286dPFBu++xC7qpk09ZuXjpIW1n77r79h132u6B1fdOJs2qSy5cvOTgJBuAmb78h5ftc8D8mlfKy82DTfst3Pe6G64NITTBg89FUiOyBoPYc2OLEh2kR9wrjIkzMPgzml+wLlST2NVsed6KO/HIGbVNLOzAeYLApYqEEB5Yc/9uH9z1F9dfs/bxNTfedsPXzzgVIH/qaScDtE/8ynGnnPq1EMJpp59y+BGLQwgvvvjC7h94/19f+lMI4exzzvz8Fz5DWJnWSVKOXvjj84sOO3DDM0+GEC5Ydf6+B+zz+RXHrl235p4H7pZWxOM2FLnC8h68PRJvTNN4XI3GFp4MirILLUY2Ex/FjsyUG1twAUC+LrQon1BHcMNAEEE7bWjWrluz+167HXjowm3e+47dPrjrdjtte8udN9vWhDA5bMnB+y2Yf9LK44/5zCde+P2zz73wzPx995q3w7ZrH3no2M9/+h3bvPXof/vIzOyrC/bf5192nnfHXbciDZlW//LG6+btvP2ue+6y5/w95kaz51147q4f3OX5F5+L9QsaGSBdD9wjxHCdbcYeR8uxCUEkY1h0ihjYzcRDNU3wUBAaGADENJ9nfRQ80xbAK3gBFSQeJAvDlZftpJFOaCcnk3bj5pdf+tufR0nfNTrLR8pwqZhQlAviWyMkRQlkrEAq7adzr86+whSVTswMN0cM8hNnW7Mlj44STljeg+kib/f/XUejmolvJ00XWuS8+FpGfGMFqvEThxdStjx7h9tHXnBLMjeSP/EUPfodVcR0RjsJWg493CsbX0IDQ1kF6IqsFhe1UBTggtMOpCRMpRsVT7ixLhJ2PGWduj1oFhiNKtJMfGR4/MRNmewtXtGJwfJ3r+7E1j0mfBBp8a0e9drrOthK5NWF5VQTME2xXUO7mmQDUJrScmF5JSqqaSSRuGE1L7EujAHxImkVE22UH0wmN6wXOay4LdS5EDsm/Pgiyd+pYEt0BJ8TNxHfVZnG1NhiANpbKAKuCIIBiKu8lGYqOeo/nBEqw9MygUIhBpG1MAy5A4VGbJzjZ8vTZPwUjS+d6LWhQQKDwPBeYTley8Kd6PAI7Eiwx5fHgBEY0ASPKIgoGC/MFi//xHceIhTF03HKp+1q2znjpNLMea2tYJrWuk7qRHhBDWWWlbKsVZ2RDE0nvB0fVJnRojggQRUL80wtDyiaxqefWsx1FqfOIG2kE7pVzcTjMDeeNODNPABEjPkYw5AWeoFDojSAoyG5TM8Ft3jrCik2HngpL5maDsvrDL6JkEZhAkewnYlH5jB75I5QZWAAUAYV+v8Bk0Inavjxu1QAAAAASUVORK5CYII=)
where
P = Resultant water pressure on the lock gate, and
a = Inclination of the gate with the normal to the side of the lock.
In a lock gate, the reaction between the two gates (R) is given by
where
P = Resultant water pressure on the lock gate, and
a = Inclination of the gate with the normal to the side of the lock.
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