{"id":4614,"date":"2019-12-16T20:26:13","date_gmt":"2019-12-16T20:26:13","guid":{"rendered":"http:\/\/adenilsongiovanini.com.br\/blog\/?p=4614"},"modified":"2022-08-10T12:30:31","modified_gmt":"2022-08-10T12:30:31","slug":"plano-topografico","status":"publish","type":"post","link":"https:\/\/adenilsongiovanini.com.br\/blog\/plano-topografico\/","title":{"rendered":"Plano topogr\u00e1fico: o que \u00e9 e para que serve?"},"content":{"rendered":"<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O <strong>plano topogr\u00e1fico<\/strong> \u00e9 um plano horizontal, finito, tangente \u00e0 superf\u00edcie terrestre e de dimens\u00f5es limitadas ao campo topogr\u00e1fico.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4615\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/plano-topogr\u00e1fico.png\" alt=\"plano topogr\u00e1fico\" width=\"521\" height=\"442\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/plano-topogr\u00e1fico.png 521w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/plano-topogr\u00e1fico-300x255.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A ado\u00e7\u00e3o de um <strong>plano topogr\u00e1fico<\/strong> se fez necess\u00e1rio por causa da curvatura da terra. Isso porque no calculo de \u00e1reas, a mesma acaba exercendo grande impacto.<\/span><\/p>\n<p><span style=\"color: #000000; font-family: arial, helvetica, sans-serif; font-size: 20px;\">\u00c9 por este motivo que na <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/curso-de-topografia-online-com-certificado\/\" style=\"color: #0000ff;\">Topografia<\/a><\/span> utiliza-se um plano, sendo que conforme a literatura consultada o mesmo varia um pouco, tendo de 50 a 55 Km\u00b2<\/span><span style=\"color: #000000; font-family: arial, helvetica, sans-serif; font-size: 20px;\">.<\/span><\/p>\n<p><span style=\"color: #000000; font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">A <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/www.carto.eng.uerj.br\/cdecart\/download\/NBR14166.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">NBR 14.166<\/a><\/span> tr\u00e1s a seguinte defini\u00e7\u00e3o para plano topogr\u00e1fico:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Plano topogr\u00e1fico: Superf\u00edcie definida pelas tangentes, no ponto origem do Sistema Topogr\u00e1fico, ao meridiano deste ponto e \u00e0 geod\u00e9sica normal a este meridiano.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-size: 24px; color: #000000;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; line-height: 1.3;\">Plano topogr\u00e1fico &#8211; Entenda o que \u00e9 o sistema topogr\u00e1fico local<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4625\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Figura-15-Sistema-Geodesico-Cartesiano-Local.png\" alt=\"Figura-15-Sistema-Geodesico-Cartesiano-Local\" width=\"483\" height=\"367\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Figura-15-Sistema-Geodesico-Cartesiano-Local.png 483w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Figura-15-Sistema-Geodesico-Cartesiano-Local-300x228.png 300w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A primeira norma t\u00e9cnica a abordar o assunto foi a <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/www.carto.eng.uerj.br\/cdecart\/download\/NBR13133.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">NBR 13.133<\/a><\/span>, em sua p\u00e1gina 5, que trouxe a seguinte defini\u00e7\u00e3o para o <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/projecao-cartografica-classificacao-e-aplicacoes\/\">sistema de proje\u00e7\u00e3o<\/a><\/span> topogr\u00e1fica (ou sistema topogr\u00e1fico local):<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Sistema de proje\u00e7\u00e3o utilizado nos <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/curso-online-de-agrimensura-com-98-aulas\/\" style=\"color: #0000ff;\">levantamentos topogr\u00e1ficos<\/a><\/span> pelo m\u00e9todo direto cl\u00e1ssico para a representa\u00e7\u00e3o das posi\u00e7\u00f5es relativas dos acidentes levantados, atrav\u00e9s de medi\u00e7\u00f5es angulares e lineares, horizontais e verticais, cujas caracter\u00edsticas s\u00e3o:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">a) as projetantes s\u00e3o ortogonais \u00e0 superf\u00edcie de proje\u00e7\u00e3o, significando estar o centro de proje\u00e7\u00e3o localizado no infinito;<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">b) a superf\u00edcie de proje\u00e7\u00e3o \u00e9 um plano normal \u00e0 vertical do lugar no ponto da superf\u00edcie terrestre considerado como origem do levantamento, sendo seu referencial altim\u00e9trico referido ao<span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/datum-vertical-o-que-e-e-qual-o-do-brasil\/\" style=\"color: #0000ff;\"> datum vertical<\/a><\/span> brasileiro;<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">c) as deforma\u00e7\u00f5es m\u00e1ximas inerentes \u00e0 desconsidera\u00e7\u00e3o da curvatura terrestre e \u00e0 refra\u00e7\u00e3o atmosf\u00e9rica t\u00eam as seguintes express\u00f5es aproximadas:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">\u2206l (mm) = &#8211; 0,004 l3 (km)<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">\u2206h (mm) = + 78,5 l2 (km)<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">\u2206h\u2019 (mm) = + 67 l2 (km)<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Onde:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">\u2206l = deforma\u00e7\u00e3o planim\u00e9trica devida \u00e0 curvatura da Terra, em mm<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">\u2206h = deforma\u00e7\u00e3o altim\u00e9trica devida \u00e0 curvatura da Terra, em mm<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">\u2206h\u2019= deforma\u00e7\u00e3o altim\u00e9trica devida ao efeito conjunto da curvatura da Terra e da refra\u00e7\u00e3o atmosf\u00e9rica, em mm<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">l = dist\u00e2ncia considerada no terreno, em km<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">d) o plano de proje\u00e7\u00e3o tem a sua dimens\u00e3o m\u00e1xima limitada a 80 km, a partir da origem, de maneira que o erro relativo, decorrente da desconsidera\u00e7\u00e3o da curvatura terrestre, n\u00e3o ultrapasse 1\/35000 nesta dimens\u00e3o e 1\/15000 nas imedia\u00e7\u00f5es da extremidade desta dimens\u00e3o;<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">e) a localiza\u00e7\u00e3o planim\u00e9trica dos pontos, medidos no terreno e projetados no plano de proje\u00e7\u00e3o, se d\u00e1 por interm\u00e9dio de um <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/sistema-de-coordenadas-cartesiano\/\" style=\"color: #0000ff;\">sistema de coordenadas cartesianas<\/a><\/span>, cuja origem coincide com a do <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/curso-de-levantamento-topografico\/\" style=\"color: #0000ff;\">levantamento topogr\u00e1fico<\/a><\/span>;<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">o eixo das ordenadas \u00e9 a refer\u00eancia azimutal, que, dependendo das peculiaridades do levantamento, pode estar orientado para o norte geogr\u00e1fico, para o norte magn\u00e9tico ou para uma dire\u00e7\u00e3o not\u00e1vel do terreno, julgada importante.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">f) o eixo das ordenadas \u00e9 a refer\u00eancia azimutal, que, dependendo das peculiaridades do levantamento, pode estar orientado para o norte geogr\u00e1fico, para o norte magn\u00e9tico ou para uma dire\u00e7\u00e3o not\u00e1vel do terreno, julgada importante.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\">\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4617\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Plano-topogr\u00e1fico-local.png\" alt=\"Plano topogr\u00e1fico local\" width=\"557\" height=\"585\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Plano-topogr\u00e1fico-local.png 557w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Plano-topogr\u00e1fico-local-286x300.png 286w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Embora o <strong>plano topogr\u00e1fico<\/strong> tenha sido inserido pela NBR 13.133, f<\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">oi a <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/www.carto.eng.uerj.br\/cdecart\/download\/NBR14166.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">NBR 14.166<\/a><\/span> que descreveu bem o mesmo.<\/span><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">No caso, a NBR 14.166, no item 3.39.2 (P\u00e1gina 5) tr\u00e1s a seguinte defini\u00e7\u00e3o para coordenadas plano-retangulares:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Coordenadas cartesianas definidoras da localiza\u00e7\u00e3o planim\u00e9trica dos pontos medidos no terreno e representados no plano topogr\u00e1fico do <strong>sistema topogr\u00e1fico local<\/strong>, cuja origem est\u00e1 no ponto de tang\u00eancia deste plano com a superf\u00edcie de refer\u00eancia adotada pelo <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/sistema-geodesico-brasileiro-o-que-e\/\" style=\"color: #0000ff;\">Sistema Geod\u00e9sico Brasileiro<\/a><\/span> &#8211; SGB<\/span><\/p>\n<p>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A NBR 14.166 ainda tr\u00e1s 5 notas extras. S\u00e3o elas:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\">1 O sistema de coordenadas plano-retangulares tem a mesma origem do Sistema Topogr\u00e1fico Local.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">2 A orienta\u00e7\u00e3o do sistema de coordenadas plano-retangulares \u00e9 em rela\u00e7\u00e3o ao eixo das ordenadas (Y).<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">3 A fim de serem evitados valores negativos para as coordenadas plano-retangulares, a estas s\u00e3o adicionados termos constantes adequados a esta finalidade.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">4 A fim de elevar o plano topogr\u00e1fico de proje\u00e7\u00e3o ao n\u00edvel m\u00e9dio da \u00e1rea objeto do <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/curso-topografia\/\" style=\"color: #0000ff;\">sistema topogr\u00e1fico<\/a><\/span>, as coordenadas plano-retangulares s\u00e3o afetadas por um fator de eleva\u00e7\u00e3o, caracterizando o Plano Topogr\u00e1fico Local.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">5 A origem do Sistema Topogr\u00e1fico Local deve estar posicionada, geograficamente, de modo a que nenhuma coordenada plano-retangular, isenta do seu termo constante, tenha valor superior a 50 km<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Trazendo na folha 6 a seguinte representa\u00e7\u00e3o para o sistema topogr\u00e1fico local:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4621\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Plano-topogr\u00e1fico-local-1.png\" alt=\"Plano topogr\u00e1fico local\" width=\"467\" height=\"597\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Plano-topogr\u00e1fico-local-1.png 467w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Plano-topogr\u00e1fico-local-1-235x300.png 235w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Na figura acima:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">OA\u2019\u2019\u2019 \u00e9 a proje\u00e7\u00e3o ortogonal de OA sobre o Plano Topogr\u00e1fico Local;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">OB\u2019\u2019\u2019 \u00e9 a proje\u00e7\u00e3o ortogonal de OB sobre o Plano Topogr\u00e1fico Local;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A\u2019\u2019\u2019A\u2019\u2019 \u00e9 o erro devido \u00e0 desconsidera\u00e7\u00e3o da curvatura terrestre de OA;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">B\u2019\u2019\u2019B\u2019\u2019 \u00e9 o erro devido \u00e0 desconsidera\u00e7\u00e3o da curvatura terrestre de OB;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">OA\u2019\u2019 \u00e9 a representa\u00e7\u00e3o do arco OA sobre o Plano Topogr\u00e1fico Local;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">OB\u2019\u2019 \u00e9 a representa\u00e7\u00e3o do arco OB sobre o Plano Topogr\u00e1fico Local;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">AB \u00e9 a proje\u00e7\u00e3o gnom\u00f4nica ou central de uma dist\u00e2ncia ( ) ab medida no terreno, sobre a superf\u00edcie do n\u00edvel m\u00e9dio do terreno, correspondendo \u00e0 dist\u00e2ncia horizontal entre \u201ca\u201d e \u201cb\u201d;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A\u2019B\u2019 \u00e9 a proje\u00e7\u00e3o gnom\u00f4nica ou central de AB sobre a superf\u00edcie da esfera de adapta\u00e7\u00e3o de Gauss (superf\u00edcie de n\u00edvel zero);<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A\u2019\u2019B\u2019\u2019 \u00e9 a proje\u00e7\u00e3o (representa\u00e7\u00e3o) em verdadeira grandeza de AB sobre o Plano Topogr\u00e1fico Local.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Perceba como que o Plano Topogr\u00e1fico Local possui origem bem definida, de certa maneira que \u00e9 poss\u00edvel calcular-se a \u00e1rea sem perder-se o <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/georreferenciamento-de-dados-guia-definitivo\/\">georreferenciamento dos dados<\/a><\/span>. <\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O que a imagem e os par\u00e2metros acima fazem nada mais \u00e9 do que demonstrar isso. <\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Em seguida, a pr\u00f3pria NBR 14.166 tr\u00e1s a seguinte defini\u00e7\u00e3o para plano topogr\u00e1fico local:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Plano topogr\u00e1fico elevado ao n\u00edvel m\u00e9dio do terreno da \u00e1rea de abrang\u00eancia do Sistema Topogr\u00e1fico Local, segundo a normal \u00e0 superf\u00edcie de refer\u00eancia no ponto de origem do sistema (ponto de tang\u00eancia do plano topogr\u00e1fico de proje\u00e7\u00e3o no <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/elipsoide-de-revolucao-o-que-e\/\" style=\"color: #0000ff;\">elipsoide de refer\u00eancia<\/a><\/span>).<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #000000; font-size: 20px;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; line-height: 1.3;\">Plano topogr\u00e1fico &#8211; Vantagens do plano topogr\u00e1fico local <\/span><br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4624\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/compara\u00e7\u00e3o-plano-topogr\u00e1fico.jpg\" alt=\"compara\u00e7\u00e3o plano topogr\u00e1fico\" width=\"420\" height=\"130\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/compara\u00e7\u00e3o-plano-topogr\u00e1fico.jpg 420w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/compara\u00e7\u00e3o-plano-topogr\u00e1fico-300x93.jpg 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Ao ser georreferenciado, o plano topogr\u00e1fico local (PTL) representa uma alternativa aos sistemas <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/sistema-de-coordenadas-utm\/\">UTM<\/a><\/span>, RTM e LTM, facilitando os c\u00e1lculos e simplifica\u00e7\u00f5es nas aplica\u00e7\u00f5es topogr\u00e1ficas.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O uso da <span style=\"color: #0000ff;\"><a href=\"http:\/\/adenilsongiovanini.com.br\/blog\/coordenadas-utm\/\" target=\"_blank\" rel=\"noopener noreferrer\" style=\"color: #0000ff;\">proje\u00e7\u00e3o UTM<\/a><\/span> na loca\u00e7\u00e3o de obras, por exemplo, requer a transforma\u00e7\u00e3o da dist\u00e2ncia plana na sua equivalente na superf\u00edcie topogr\u00e1fica, atrav\u00e9s da aplica\u00e7\u00e3o do coeficiente de deforma\u00e7\u00e3o linear e do fator de amplia\u00e7\u00e3o devido \u00e0 altitude da superf\u00edcie topogr\u00e1fica, onde se desenvolver\u00e1 o trabalho ou se analisar\u00e1 as informa\u00e7\u00f5es.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um outro exemplo \u00e9 a determina\u00e7\u00e3o de \u00e1reas, que s\u00e3o mais pr\u00f3ximas \u00e0 realidade da superf\u00edcie topogr\u00e1fica quando representadas no PTL.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Outro sim, embora o plano topogr\u00e1fico local tenha menor abrang\u00eancia espacial que os sistemas os sistemas <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/coordenadas-utm-exemplo\/\" style=\"color: #0000ff;\">UTM<\/a><\/span>, RTM e LTM, o mesmo tamb\u00e9m guarda uma rela\u00e7\u00e3o precisa com as <span style=\"color: #0000ff;\"><a href=\"http:\/\/adenilsongiovanini.com.br\/blog\/sistema-de-referencia\/\" target=\"_blank\" rel=\"noopener noreferrer\" style=\"color: #0000ff;\">coordenadas geod\u00e9sicas<\/a><\/span>.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\">Isso justamente pelo fato de possuir sua origem (O) do sistema de coordenadas geo-referenciada, o que possibilita que seja poss\u00edvel calcular-se as <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/coordenadas-geodesicas-o-que-sao\/\" style=\"color: #0000ff;\">coordenadas geod\u00e9sicas<\/a><\/span> de qualquer par de coordenadas topogr\u00e1ficas locais.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Convers\u00e3o de coordenadas geod\u00e9sicas em coordenadas locais<\/span><\/strong><\/span><\/p>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4626\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/convers\u00e3o-de-coordenadas.jpg\" alt=\"convers\u00e3o de coordenadas\" width=\"451\" height=\"600\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/convers\u00e3o-de-coordenadas.jpg 451w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/convers\u00e3o-de-coordenadas-226x300.jpg 226w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Para a convers\u00e3o de coordenadas geod\u00e9sicas em topogr\u00e1ficas locais, podemos usar dois procedimentos:<\/span><\/p>\n<ul>\n<li>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Primeiro calculando-se diretamente a partir das geod\u00e9sicas do ponto atrav\u00e9s de s\u00e9ries. <\/span><\/p>\n<\/li>\n<li>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O outro m\u00e9todo requer o c\u00e1lculo a partir da origem, usando-se o azimute geod\u00e9sico e a dist\u00e2ncia corrigida para a altitude do plano.<\/span><\/p>\n<\/li>\n<\/ul>\n<p><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">A<\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">s f\u00f3rmulas detalhadas do primeiro caso podem ser encontradas na literatura (<span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/repositorio.usp.br\/item\/001133732\" target=\"_blank\" rel=\"noopener noreferrer\">Lima 1997<\/a><\/span>). A alternativa mais pr\u00e1tica, contudo, \u00e9 a aquisi\u00e7\u00e3o de programas que fa\u00e7am automaticamente esta convers\u00e3o.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Se voc\u00ea quer<strong> MERGULHAR FUNDO e aprender a prestar servi\u00e7os com grande velocidade e com seguran\u00e7a<\/strong>, <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/cursos-online\/\">acesse este link<\/a><\/span> e conhe\u00e7a os mesmos.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">Entre eles, o <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" target=\"_blank\" rel=\"noopener noreferrer\">Curso de Confec\u00e7\u00e3o de Plantas Topogr\u00e1ficas<\/a><\/span>. <span style=\"color: #000000;\">Um <\/span><\/span><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">curso pr\u00e1tico\u00a0<\/span><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">com o qual voc\u00ea vai <strong>aprender a produzir as 15 diferentes plantas produzidas em um escrit\u00f3rio de topografia<\/strong>.<\/span><\/span><\/p>\n<p><a href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" class=\"aligncenter wp-image-31689\" src=\"https:\/\/adenilsongiovanini.com.br\/wp-content\/uploads\/2022\/07\/planta-de-topografia-1024x612.png\" alt=\"\" width=\"770\" height=\"460\" \/><\/a><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Clique <a href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"color: #0000ff;\">neste link<\/span><\/a> e conhe\u00e7a melhor o mesmo.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Gratid\u00e3o por voc\u00ea ter lido o artigo. \ud83d\ude4f<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>Aprenda a Prestar Servi\u00e7os de Topografia Cadastral Atrav\u00e9s de um Livro Formado Por Mais de 547 <\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>Estudos de Caso e E<\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>xemplos Pr\u00e1ticos<\/strong><\/span><\/h2>\n<h2 style=\"text-align: center;\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-25393\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-780x386.png\" alt=\"\" width=\"780\" height=\"386\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-780x386.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-300x148.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-768x380.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia.png 1536w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/h2>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">A <span style=\"text-decoration: underline;\"><em>1 clique de dist\u00e2ncia de voc\u00ea<\/em><\/span> encontra-se o <strong>MAIS COMPLETO LIVRO DE TOPOGRAFIA DO BRASIL<\/strong>.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">O mesmo \u00e9 formado por mais de 547 Estudos de Caso, Conhecimentos Pr\u00e1ticos, Exemplos, Aplica\u00e7\u00f5es, Planilhas e Chacklists!<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Se voc\u00ea quer <em>(ou precisa)<\/em> aprender a prestar servi\u00e7os de Topografia, este livro servir\u00e1 como uma luva para voc\u00ea.<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">D\u00ea uma espiadinha no sum\u00e1rio do mesmo:<\/span><\/span><\/p>\n<p><center><iframe width=\"95%\" height=\"990\" src=\"https:\/\/drive.google.com\/file\/d\/1Ceor37i07URpOWB8CUnuUWq8aOuR7VSf\/preview\"><\/iframe><\/center><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">Para conhecer melhor a estrutura do livro, juntar-se a dezenas de profissionais e adquirir sua c\u00f3pia \u00e9 s\u00f3 clicar no bot\u00e3o abaixo:<\/span><\/span><\/p>\n<div class=\"su-button-center\">\n<div class=\"su-button-center\"><span style=\"color: #000000; font-size: 20px;\"><div class=\"su-button-center\"><a href=\"https:\/\/adenilsongiovanini.com.br\/biblia-do-agrimensor\/\" class=\"su-button su-button-style-3d\" style=\"color:#000000;background-color:#2BCC2F;border-color:#23a426;border-radius:9px\" target=\"_blank\" rel=\"nofollow\" id=\"1\"><span style=\"color:#000000;padding:0px 24px;font-size:18px;line-height:36px;border-color:#6bdc6e;border-radius:9px;text-shadow:0px 0px 0px #000000\"> \u279c Quero Conhecer Melhor o Livro, Pois Quero e Preciso Aprender Mais Sobre a Presta\u00e7\u00e3o de Servi\u00e7os de Topografia<\/span><\/a><\/div><\/span><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>O plano topogr\u00e1fico \u00e9 um plano horizontal, finito, tangente \u00e0 superf\u00edcie terrestre e de dimens\u00f5es limitadas ao campo topogr\u00e1fico. A ado\u00e7\u00e3o de um plano topogr\u00e1fico se fez necess\u00e1rio por causa da curvatura da terra. Isso porque no calculo de \u00e1reas, a mesma acaba exercendo grande impacto. \u00c9 por este motivo [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4622,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4614","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-topografia-cadastral"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Plano topogr\u00e1fico: o que \u00e9 e para que serve? - Adenilson Giovanini<\/title>\n<meta name=\"description\" content=\"Entenda o que \u00e9 o plano topogr\u00e1fico, qual a diferen\u00e7a entre o mesmo e o plano topogr\u00e1fico local e quais as vantagens do PTL.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/plano-topografico\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Plano topogr\u00e1fico: o que \u00e9 e para que serve? 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