{"id":166,"date":"2024-09-23T14:58:13","date_gmt":"2024-09-23T12:58:13","guid":{"rendered":"https:\/\/www.solveredu.com\/kalkulator-belek"},"modified":"2026-05-13T12:28:39","modified_gmt":"2026-05-13T10:28:39","slug":"beam-calculator","status":"publish","type":"page","link":"https:\/\/solveredu.com\/en\/kalkulator-belek\/","title":{"rendered":"Free Beam Calculator. Shear and Moment Diagram. Step-by-Step"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h1 class=\"wp-block-heading has-x-large-font-size\">Kalkulator Belek<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">APLIKACJA ONLINE DO OBLICZE\u0143 ANALITYCZNYCH BELEK<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ZERO <strong>AI<\/strong>, CZYSTY ALGORYTM \u2013 GWARANCJA <strong>100%<\/strong> POWTARZALNO\u015aCI WYNIK\u00d3W<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">KOPIUJ ZADANIA, EDYTUJ PARAMETRY I GENERUJ  RAPORTY Z WYNIKAMI W MGNIENIU OKA<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">OBLICZANIE BELEK W KILKA MINUT !!!<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-69bbf988 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-custom-font-size wp-element-button\" href=\"https:\/\/app.solveredu.com\/solver-detail\/1?autostart=true\" style=\"border-radius:12px;font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\">Wypr\u00f3buj za darmo<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">W Kalkulatorze Belek uzyskasz:<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Obliczanie belek statycznie wyznaczalnych prostych i wieloprz\u0119s\u0142owych.<\/li>\n\n\n\n<li>Mo\u017cliwo\u015b\u0107 wyboru odpowiednich jednostek (SI, Imperialne) lub symbole literowe jako sta\u0142e (F, ql).<\/li>\n\n\n\n<li>Sprawdzenie statycznej wyznaczalno\u015bci.<\/li>\n\n\n\n<li>U\u017cytkownicy mog\u0105 ustawi\u0107 ca\u0142kowit\u0105 d\u0142ugo\u015b\u0107 oraz pozycje podp\u00f3r, maj\u0105c pe\u0142n\u0105 kontrol\u0119 nad geometri\u0105 konstrukcji.<\/li>\n\n\n\n<li>Mo\u017cliwo\u015b\u0107 \u0142\u0105czenia podp\u00f3r przesuwnych, sta\u0142ych, utwierdze\u0144 oraz po\u0142\u0105cze\u0144 przegubowych w obr\u0119bie jednej konstrukcji.<\/li>\n\n\n\n<li>Mo\u017cliwo\u015b\u0107 wyboru odpowiednich rodzaj\u00f3w obci\u0105\u017ce\u0144: si\u0142y skupione, obci\u0105\u017cenia ci\u0105g\u0142e (prostok\u0105tne i tr\u00f3jk\u0105tne) oraz momenty skupione<\/li>\n\n\n\n<li>Wyznaczanie reakcji w podporach<\/li>\n\n\n\n<li>Obliczenia krok po kroku si\u0142 normalnych, si\u0142 tn\u0105cych i moment\u00f3w gn\u0105cych dla belek<\/li>\n\n\n\n<li>Tworzenie wykres\u00f3w si\u0142 wewn\u0119trznych (si\u0142 normalnych, si\u0142 tn\u0105cych i moment\u00f3w zginaj\u0105cych)<\/li>\n\n\n\n<li>Pe\u0142n\u0105 analiz\u0119 deformacji (ugi\u0119\u0107 i k\u0105t\u00f3w ugi\u0119cia) metod\u0105 ca\u0142kowania r\u00f3wnania moment\u00f3w:<\/li>\n\n\n\n<li>Wyznaczanie analitycznych r\u00f3wna\u0144 k\u0105ta ugi\u0119cia \u03b8(x) oraz ugi\u0119cia y(x)<\/li>\n\n\n\n<li>Obliczanie sta\u0142ych ca\u0142kowania na podstawie warunk\u00f3w pocz\u0105tkowych.<\/li>\n\n\n\n<li>Tworzenie wykres\u00f3w k\u0105ta ugi\u0119cia i ugi\u0119cia na ca\u0142ej d\u0142ugo\u015bci belki.<\/li>\n\n\n\n<li>Zapisanie wynik\u00f3w w formie raportu do pliku MS Word lub PDF<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Kalkulator wykres\u00f3w si\u0142 tn\u0105cych i moment\u00f3w SolverEdu to profesjonalne oprogramowanie do analizy strukturalnej, oferuj\u0105ce zaawansowane funkcje dla student\u00f3w in\u017cynierii oraz profesjonalist\u00f3w.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">Zobacz kr\u00f3tki film z prezentacj\u0105 Kalkulatora Belek<\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/H2bPJY7uTW0?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">Kalkulator Belek to:<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Rozwi\u0105zanie krok po kroku &#8211; tak jak rozwi\u0105zuje si\u0119 belk\u0119 analitycznie<\/li>\n\n\n\n<li>W panelu u\u017cytkownika masz dost\u0119p do swoich rozwi\u0105za\u0144<\/li>\n\n\n\n<li>W rozwi\u0105zaniu s\u0105 odno\u015bniki do artyku\u0142\u00f3w opisuj\u0105cych u\u017cyte metody<\/li>\n\n\n\n<li>Nieograniczona ilo\u015b\u0107 przyk\u0142ad\u00f3w<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"788\" height=\"755\" data-attachment-id=\"1728\" data-permalink=\"https:\/\/solveredu.com\/en\/kalkulator-belek\/1-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?fit=788%2C755&amp;ssl=1\" data-orig-size=\"788,755\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?fit=788%2C755&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?resize=788%2C755&#038;ssl=1\" alt=\"Wykres si\u0142 wewn\u0119trznych w belce, si\u0142y tn\u0105ce, momenty gn\u0105ce - kalkulator belek SolverEdu\" class=\"wp-image-1728\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?w=788&amp;ssl=1 788w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?resize=300%2C287&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?resize=768%2C736&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/1.jpg?resize=13%2C12&amp;ssl=1 13w\" sizes=\"auto, (max-width: 788px) 100vw, 788px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"586\" height=\"277\" data-attachment-id=\"1732\" data-permalink=\"https:\/\/solveredu.com\/en\/kalkulator-belek\/attachment\/4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/4.jpg?fit=586%2C277&amp;ssl=1\" data-orig-size=\"586,277\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/4.jpg?fit=586%2C277&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/4.jpg?resize=586%2C277&#038;ssl=1\" alt=\"Obliczenia si\u0142 wewn\u0119trznych dla belki, si\u0142y tn\u0105ce, momenty gn\u0105ce - SolverEdu\" class=\"wp-image-1732\" style=\"width:500px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/4.jpg?w=586&amp;ssl=1 586w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/4.jpg?resize=300%2C142&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/4.jpg?resize=18%2C9&amp;ssl=1 18w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"647\" height=\"641\" data-attachment-id=\"1730\" data-permalink=\"https:\/\/solveredu.com\/en\/kalkulator-belek\/3-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?fit=647%2C641&amp;ssl=1\" data-orig-size=\"647,641\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?fit=647%2C641&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?resize=647%2C641&#038;ssl=1\" alt=\"Obliczenia si\u0142 wewn\u0119trznych dla belki, si\u0142y tn\u0105ce, momenty gn\u0105ce - kalkulator belek SolverEdu\" class=\"wp-image-1730\" style=\"width:559px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?w=647&amp;ssl=1 647w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?resize=300%2C297&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/10\/3.jpg?resize=12%2C12&amp;ssl=1 12w\" sizes=\"auto, (max-width: 647px) 100vw, 647px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:clamp(15.747px, 0.984rem + ((1vw - 3.2px) * 0.737), 24px);\">Obliczenia ugi\u0119cia oraz k\u0105ta ugi\u0119cia<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"764\" height=\"846\" data-attachment-id=\"2933\" data-permalink=\"https:\/\/solveredu.com\/en\/kalkulator-belek\/5-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/5.jpg?fit=764%2C846&amp;ssl=1\" data-orig-size=\"764,846\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/5.jpg?fit=764%2C846&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/5.jpg?resize=764%2C846&#038;ssl=1\" alt=\"Wykres ugi\u0119cia belki, k\u0105t ugi\u0119cia belki, Solveredu, Sta\u0142e ca\u0142kowania \" class=\"wp-image-2933\" style=\"aspect-ratio:0.9030922630316799\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/5.jpg?w=764&amp;ssl=1 764w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/5.jpg?resize=271%2C300&amp;ssl=1 271w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/5.jpg?resize=11%2C12&amp;ssl=1 11w\" sizes=\"auto, (max-width: 764px) 100vw, 764px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Znaczenie Modu\u0142u Younga i Ugi\u0119cia<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Modu\u0142 Younga (E) jest kluczow\u0105 w\u0142a\u015bciwo\u015bci\u0105 materia\u0142ow\u0105 wykorzystywan\u0105 w obliczeniach ugi\u0119\u0107, poniewa\u017c bezpo\u015brednio wp\u0142ywa na to, jak bardzo belka ugnie si\u0119 pod wp\u0142ywem obci\u0105\u017cenia.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Zrozumienie ugi\u0119cia belki jest kluczowe, poniewa\u017c wp\u0142ywa ono na og\u00f3ln\u0105 wytrzyma\u0142o\u015b\u0107 i stabilno\u015b\u0107 konstrukcji. Nadmierne ugi\u0119cie mo\u017ce doprowadzi\u0107 do awarii, dlatego in\u017cynierowie musz\u0105 projektowa\u0107 belki wystarczaj\u0105co sztywne, aby opiera\u0142y si\u0119 odkszta\u0142ceniom pod przewidywanym obci\u0105\u017ceniem. Ugi\u0119cie belki jest jednym z kryteri\u00f3w stanu granicznego u\u017cytkowalno\u015bci (SGU) rozwa\u017canych w projektowaniu konstrukcyjnym. In\u017cynierowie d\u0105\u017c\u0105 do ograniczenia ugi\u0119\u0107 do akceptowalnych poziom\u00f3w, aby zapewni\u0107 prawid\u0142owe funkcjonowanie konstrukcji i komfort jej u\u017cytkownikom.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Kompleksowa Analiza w Kalkulatorze<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Nasz kalkulator wykres\u00f3w si\u0142 tn\u0105cych i moment\u00f3w generuje krzywe ugi\u0119cia wraz z wykresami si\u0142 tn\u0105cych i moment\u00f3w gn\u0105cych, zapewniaj\u0105c pe\u0142ny wgl\u0105d w zachowanie belki pod wp\u0142ywem r\u00f3\u017cnych obci\u0105\u017ce\u0144.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Obliczanie ugi\u0119cia belki mo\u017ce wydawa\u0107 si\u0119 trudne, ale proces ten mo\u017cna podzieli\u0107 na \u0142atwe do wykonania kroki. In\u017cynierowie cz\u0119sto korzystaj\u0105 z gotowych wzor\u00f3w empirycznych, aby szybko oszacowa\u0107 ugi\u0119cie belki, co czyni ten proces znacznie prostszym i bardziej dost\u0119pnym.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"713\" height=\"856\" data-attachment-id=\"2934\" data-permalink=\"https:\/\/solveredu.com\/en\/kalkulator-belek\/6-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/6.jpg?fit=713%2C856&amp;ssl=1\" data-orig-size=\"713,856\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/6.jpg?fit=713%2C856&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/6.jpg?resize=713%2C856&#038;ssl=1\" alt=\"Obliczenie ugi\u0119cia belki, k\u0105t ugi\u0119cia belki, Solveredu, Sta\u0142e ca\u0142kowania, Warunki brzegowe do oblicze\u0144 sta\u0142ych ca\u0142kowania\" class=\"wp-image-2934\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/6.jpg?w=713&amp;ssl=1 713w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/6.jpg?resize=250%2C300&amp;ssl=1 250w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2025\/11\/6.jpg?resize=10%2C12&amp;ssl=1 10w\" sizes=\"auto, (max-width: 713px) 100vw, 713px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-69bbf988 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-custom-font-size wp-element-button\" href=\"https:\/\/app.solveredu.com\/solver-detail\/1?autostart=true\" style=\"border-radius:12px;font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\">Wypr\u00f3buj za darmo<\/a><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Rodzaje Belek i Podp\u00f3r<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">W in\u017cynierii l\u0105dowej spos\u00f3b podparcia belki oraz jej og\u00f3lna geometria odgrywaj\u0105 kluczow\u0105 rol\u0119 w okre\u015blaniu, jak konstrukcja reaguje na przy\u0142o\u017cone obci\u0105\u017cenia. Belki mo\u017cna sklasyfikowa\u0107 na kilka rodzaj\u00f3w na podstawie warunk\u00f3w podparcia i konfiguracji, z kt\u00f3rych ka\u017cda wp\u0142ywa na wynikowe wykresy moment\u00f3w gn\u0105cych, si\u0142 tn\u0105cych oraz og\u00f3ln\u0105 analiz\u0119 statyczn\u0105.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Belki wolnopodparte<\/strong> nale\u017c\u0105 do najcz\u0119stszych konfiguracji; s\u0105 podparte w dw\u00f3ch punktach \u2013 zazwyczaj podpor\u0105 sta\u0142\u0105 przegubow\u0105 na jednym ko\u0144cu i podpor\u0105 przesuwn\u0105 na drugim. Taki uk\u0142ad pozwala belce na obr\u00f3t w punktach podparcia, ale zapobiega ruchom pionowym. Jest to idealny model do nauczania podstawowych poj\u0119\u0107 dotycz\u0105cych si\u0142 tn\u0105cych i moment\u00f3w gn\u0105cych oraz znajduje zastosowanie w wielu praktycznych konstrukcjach.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Belki wspornikowe<\/strong> s\u0105 utwierdzone na jednym ko\u0144cu i swobodne na drugim, co czyni je szczeg\u00f3lnie wra\u017cliwymi na si\u0142y skupione, obci\u0105\u017cenia ci\u0105g\u0142e oraz ich kombinacje. Podpora sta\u0142a (utwierdzenie) przeciwdzia\u0142a zar\u00f3wno przesuni\u0119ciu, jak i obrotowi, co skutkuje charakterystycznymi wykresami moment\u00f3w i si\u0142 tn\u0105cych, niezb\u0119dnymi do zrozumienia si\u0142 wewn\u0119trznych i ugi\u0119cia belki.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Belki obustronnie utwierdzone<\/strong> s\u0105 sztywno zamocowane na obu ko\u0144cach, co uniemo\u017cliwia zar\u00f3wno obr\u00f3t, jak i przesuni\u0119cie. Taka konfiguracja zwi\u0119ksza zdolno\u015b\u0107 belki do opierania si\u0119 nadmiernym ugi\u0119ciom i jest cz\u0119sto stosowana w sytuacjach, gdzie sztywno\u015b\u0107 konstrukcji jest priorytetem. Wynikowe rozk\u0142ady si\u0142 i moment\u00f3w gn\u0105cych s\u0105 bardziej z\u0142o\u017cone, co wymaga precyzyjnego obliczenia reakcji podporowych i moment\u00f3w utwierdzenia.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Belki ci\u0105g\u0142e<\/strong> rozci\u0105gaj\u0105 si\u0119 nad wi\u0119cej ni\u017c dwiema podporami, tworz\u0105c wiele prz\u0119se\u0142. Belki te mog\u0105 posiada\u0107 mieszank\u0119 podp\u00f3r przegubowych, przesuwnych i utwierdze\u0144; s\u0105 powszechnie spotykane w mostach i du\u017cych ramach konstrukcyjnych. Analiza belek ci\u0105g\u0142ych wymaga uwzgl\u0119dnienia r\u00f3\u017cnych kombinacji obci\u0105\u017ce\u0144 i reakcji podporowych, co sprawia, \u017ce korzystanie z kompleksowych narz\u0119dzi, takich jak kalkulator belek online, jest niezwykle przydatne do generowania dok\u0142adnych wykres\u00f3w si\u0142 wewn\u0119trznych.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Typ belki i warunki jej podparcia bezpo\u015brednio wp\u0142ywaj\u0105 na si\u0142y wewn\u0119trzne \u2013 <strong>si\u0142\u0119 tn\u0105c\u0105 i moment gn\u0105cy<\/strong> \u2013 wyst\u0119puj\u0105ce wzd\u0142u\u017c d\u0142ugo\u015bci belki. Na przyk\u0142ad, belki wolnopodparte i wspornikowe s\u0105 cz\u0119sto u\u017cywane w celach edukacyjnych ze wzgl\u0119du na prostot\u0119 ich analizy, podczas gdy rzeczywiste konstrukcje mog\u0105 wymaga\u0107 analizy belek z\u0142o\u017conych lub ci\u0105g\u0142ych z rygorystycznymi scenariuszami obci\u0105\u017ce\u0144.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Podczas wykonywania analizy belki nale\u017cy r\u00f3wnie\u017c wzi\u0105\u0107 pod uwag\u0119 czynniki takie jak d\u0142ugo\u015b\u0107 jednostkowa, rozpi\u0119to\u015b\u0107 prz\u0119s\u0142a, przekr\u00f3j poprzeczny oraz w\u0142a\u015bciwo\u015bci materia\u0142owe, takie jak modu\u0142 Younga (E). Wp\u0142ywaj\u0105 one na zdolno\u015b\u0107 belki do przenoszenia obci\u0105\u017ce\u0144 bez nadmiernego ugi\u0119cia lub awarii. Nowoczesne kalkulatory belek, w przeciwie\u0144stwie do starszych narz\u0119dzi o ograniczonej funkcjonalno\u015bci, s\u0105 w pe\u0142ni operacyjne i konfigurowalne, co pozwala u\u017cytkownikom na analiz\u0119 szerokiego zakresu konfiguracji z wysok\u0105 dok\u0142adno\u015bci\u0105.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bez wzgl\u0119du na to, czy jeste\u015b studentem poznaj\u0105cym podstawy analizy strukturalnej, czy profesjonalnym in\u017cynierem projektuj\u0105cym zaawansowane konstrukcje, zrozumienie r\u00f3\u017cnych typ\u00f3w belek i podp\u00f3r jest niezb\u0119dne.  Kalkulator belek SolverEdu zosta\u0142 zaprojektowany tak, aby obs\u0142u\u017cy\u0107 wszystkie te scenariusze, zapewniaj\u0105c precyzyjne obliczenia, szczeg\u00f3\u0142owe diagramy i kompleksowe wsparcie w projektowaniu.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-text-align-center has-large-font-size\">Poznaj opinie o nas<\/h3>\n\n\n\n<p style=\"text-align: center;\"><link data-noptimize=\"1\" data-no-optimize=\"1\" data-no-minify=\"1\" data-no-defer=\"1\" rel=\"stylesheet\" href=\"https:\/\/solveredu.com\/wp-content\/uploads\/trustindex-google-widget.css?1787091579\" media=\"all\"><pre class=\"ti-widget\"><div style=\"opacity: 0;height: 0 !important;overflow: hidden !important\" data-css-url=\"https:\/\/solveredu.com\/wp-content\/uploads\/trustindex-google-widget.css?1787091579\" class=\" ti-widget  ti-goog ti-review-text-mode-readmore ti-text-align-left\" data-no-translation=\"true\" data-time-locale=\"%d %s ago|today|day|days|week|weeks|month|months|year|years\" data-plugin-version=\"14.2\" data-layout-id=\"5\" data-layout-category=\"slider\" data-set-id=\"light-background\" data-pid=\"wp-widget\" data-language=\"en\" data-close-locale=\"Close\" data-review-target-width=\"275\" data-css-version=\"2\" data-reply-by-locale=\"Owner&apos;s reply\" data-only-rating-locale=\"This user only left a rating.\" data-pager-autoplay-timeout=\"6\"> <div class=\"ti-widget-container ti-col-4\"> <div class=\"ti-footer ti-footer-grid source-Google\"> <div class=\"ti-fade-container\"> <div class=\"ti-rating-text\"> <strong class=\"ti-rating ti-rating-large\"> EXCELLENT <\/strong> <\/div> <span class=\"ti-stars star-lg\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><\/span> <div class=\"ti-rating-text\"> <span class=\"nowrap\">Based on <strong>7 reviews<\/strong><\/span> <\/div> <div class=\"ti-large-logo\"> <div class=\"ti-v-center\"> <img decoding=\"async\" class=\"ti-logo-fb skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/logo.svg\" width=\"150\" height=\"25\" loading=\"lazy\" alt=\"Google\" \/> <\/div> <\/div> <\/div> <\/div> <div class=\"ti-reviews-container\"> <div class=\"ti-controls\"> <div class=\"ti-next\" aria-label=\"Next review\" role=\"button\" tabindex=\"0\"><\/div> <div class=\"ti-prev\" aria-label=\"Previous review\" role=\"button\" tabindex=\"0\"><\/div> <\/div> <div class=\"ti-reviews-container-wrapper\">  <div data-empty=\"0\" data-time=\"1774569600\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocKCubS6bCDxYjdPjY3rt2JRA1GVKD8p92ql5ecayTbL0PqomA=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocKCubS6bCDxYjdPjY3rt2JRA1GVKD8p92ql5ecayTbL0PqomA=w80-h80-c-rp-mo-br100 2x\" alt=\"Noah profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> Noah <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->Solveredu is an amazing app! It literally saved me during my last exam session and really helped me understand beam deflections.<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <div data-empty=\"0\" data-time=\"1773964800\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocLgGjqCZwK8YS-Ohpd-ZXThV7FEQX3lFMQ7YJoKuM-tPmojIA=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocLgGjqCZwK8YS-Ohpd-ZXThV7FEQX3lFMQ7YJoKuM-tPmojIA=w80-h80-c-rp-mo-br100 2x\" alt=\"Stanley Brown profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> Stanley Brown <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->Great app especially helpful for topics like kinematics and dynamics, as well as tools such as beam calc and truss calc, which make structural and force analysis much easier to follow. The interface is super user-friendly, and the SolverEdu tool can save a lot of time.<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <div data-empty=\"0\" data-time=\"1762041600\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a-\/ALV-UjVUlmY--qkVnfQ2nTny4K5FBM7CJJXiETNItg3vbsXGB_M0IPw=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a-\/ALV-UjVUlmY--qkVnfQ2nTny4K5FBM7CJJXiETNItg3vbsXGB_M0IPw=w80-h80-c-rp-mo-br100 2x\" alt=\"Barry Borji profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> Barry Borji <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->I have used many software such as, FEA, CFD, linear and non- linear calculations, formula translations and many more within last 45 years. I must admit the SolverEdu one of the BEST ones I have ever used. I really appreciate all its functions and its ease of use.  SolverEdu is the one for me and I have been using it all the time since 1st Nov 2025 when purchased. SoverEdu  for sure&#010;is a tool that must be known to all the engineers and must be used. It saves so much time !!! Well Done SolverEDU team !!!&#010;B Borji,&#010;MPhil, B_Eng&#010;2nd Nov 2025<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <div data-empty=\"0\" data-time=\"1743638400\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a-\/ALV-UjU-SmMpGngBtZCO2ycmfaW7fsaOuUAJb-RM7eQM8ns8vFeudLUd=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a-\/ALV-UjU-SmMpGngBtZCO2ycmfaW7fsaOuUAJb-RM7eQM8ns8vFeudLUd=w80-h80-c-rp-mo-br100 2x\" alt=\"Kamil Standio profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> Kamil Standio <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->Bardzo intuicyjny pomocny program. Polecam<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <div data-empty=\"0\" data-time=\"1727654400\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocIuRNazJbOChggvB89njfPUisItPCgGCWNO-1pSMqlfuLNCkw=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocIuRNazJbOChggvB89njfPUisItPCgGCWNO-1pSMqlfuLNCkw=w80-h80-c-rp-mo-br100 2x\" alt=\"El Zi profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> El Zi <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->This app is super handy and easy to use. You can quickly check your calculations for beams and trusses. I definitely recommend getting tutoring from Mr. Jacek; he explains everything really well and takes his time with the topics.<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <div data-empty=\"0\" data-time=\"1727136000\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocKe4ebtuQEQqpZ4yfMNOWFfTMAx_Xi2hYgo3qOTBghdg_FXKQ=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocKe4ebtuQEQqpZ4yfMNOWFfTMAx_Xi2hYgo3qOTBghdg_FXKQ=w80-h80-c-rp-mo-br100 2x\" alt=\"Artur Zajac profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> Artur Zajac <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->A very nice application for learning how to solve problems with frames and trusses. I highly recommend it. Everything is explained carefully and calmly. Solving beams and frames is no longer a problem.<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <div data-empty=\"0\" data-time=\"1724889600\" class=\"ti-review-item source-Google ti-image-layout-thumbnail\" data-id=\"cfcd208495d565ef66e7dff9f98764da\" data-language=\"\"> <div class=\"ti-inner\"> <div class=\"ti-review-header\"> <div class=\"ti-platform-icon ti-with-tooltip\"> <span class=\"ti-tooltip\">Posted on Google<\/span> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/icon.svg\" alt=\"Google\" width=\"20\" height=\"20\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-img\"> <img decoding=\"async\" class=\"skip-lazy\" src=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocJq3-bHe7d8QhYquNy0YlP0M8VSSbAxPpaJrNwyIcGgMnI_4A=w40-h40-c-rp-mo-br100\" srcset=\"https:\/\/lh3.googleusercontent.com\/a\/ACg8ocJq3-bHe7d8QhYquNy0YlP0M8VSSbAxPpaJrNwyIcGgMnI_4A=w80-h80-c-rp-mo-br100 2x\" alt=\"Julian Naumov profile picture\" loading=\"lazy\" \/> <\/div> <div class=\"ti-profile-details\"> <div class=\"ti-name\"> Julian Naumov <\/div> <div class=\"ti-date\"><\/div> <\/div> <\/div> <span class=\"ti-stars\"><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 1\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 2\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 3\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 4\" width=\"17\" height=\"17\" loading=\"lazy\" \/><img decoding=\"async\" class=\"ti-star skip-lazy\" src=\"https:\/\/cdn.trustindex.io\/assets\/platform\/Google\/star\/f.svg\" alt=\"Google star 5\" width=\"17\" height=\"17\" loading=\"lazy\" \/><span class=\"ti-verified-review ti-verified-platform\"><span class=\"ti-verified-tooltip\">Trustindex verifies that the original source of the review is Google.<\/span><\/span><\/span> <div class=\"ti-review-text-container ti-review-content\"><!-- R-CONTENT -->Bardzo polecam Pana Jacka jako korepetytora. Super podej\u015bcie do ludzi, korzysta\u0142em regularnie z korepetycji przez prawie rok i du\u017co si\u0119 nauczy\u0142em przy nim. R\u00f3wnie\u017c polecam jego aplikacje, cz\u0119sto korzysta\u0142em z niej do pomocy przy rozwi\u0105zywaniu zada\u0144 z wytrzyma\u0142o\u015bci materia\u0142\u00f3w.<!-- R-CONTENT --><\/div> <span class=\"ti-read-more\" data-container=\".ti-review-content\" data-collapse-text=\"Hide\" data-open-text=\"Read more\"><\/span> <\/div> <\/div>  <\/div> <div class=\"ti-controls-line\"> <div class=\"dot\"><\/div> <\/div>   <div class=\"ti-verified-by ti-verified-by-row\" data-style=\"1\"> <div class=\"ti-inner\"> Verified by Trustindex <span class=\"ti-info-icon\"><\/span> <div class=\"ti-disclaimer\">Trustindex verified badge is the Universal Symbol of Trust. Only the greatest companies can get the verified badge who has a review score above 4.5, based on customer reviews over the past 12 months. <a href=\"https:\/\/www.trustindex.io\/?a=sys&amp;c=wp-verified-badge&amp;url=\/the-trustindex-verified-badge\/\" target=\"_blank\" rel=\"noopener\">Read more<\/a><\/div> <\/div> <\/div>  <\/div> <\/div> <\/div> <\/pre><pre class=\"ti-hidden-markup\" hidden style=\"display: none\"><script data-jetpack-boost=\"ignore\">\n(function () { if (window.tiLoaderFallback) { return; } window.tiLoaderFallback = true; function tiLoadLoader() { if (window.TrustindexWidget || document.querySelector('script[src*=\"https:\/\/cdn.trustindex.io\/loader.js\"]')) { return; } let script = document.createElement(\"script\"); script.async = true; script.src = \"https:\/\/cdn.trustindex.io\/loader.js\"; script.setAttribute(\"data-ccm-injected\", \"1\"); document.head.appendChild(script); } if (\"loading\" === document.readyState) { document.addEventListener(\"DOMContentLoaded\", tiLoadLoader); } else { tiLoadLoader(); } })();\n<\/script>\n<\/pre><\/p>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center\" style=\"font-size:clamp(18.434px, 1.152rem + ((1vw - 3.2px) * 0.943), 29px);\">Wypr\u00f3buj inne kalkulatory<\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized is-style-default\"><a href=\"https:\/\/solveredu.com\/frame-calculator\/\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"340\" data-permalink=\"https:\/\/solveredu.com\/en\/frame-jpg\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/86a81-ac91ce_a05fec4c74fc4cc2b46fcdf5e962ebc1mv2-e1769541311820.jpg?fit=386%2C230&amp;ssl=1\" data-orig-size=\"386,230\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"frame.jpg\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/86a81-ac91ce_a05fec4c74fc4cc2b46fcdf5e962ebc1mv2-e1769541311820.jpg?fit=386%2C230&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/86a81-ac91ce_a05fec4c74fc4cc2b46fcdf5e962ebc1mv2.jpg?ssl=1\" alt=\"\" class=\"wp-image-340\" style=\"width:277px;height:auto\"\/><\/a><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><a href=\"\/frame-calculator\">KALKULATOR RAM<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><a href=\"https:\/\/solveredu.com\/kalkulator-kratownic\/\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"966\" data-permalink=\"https:\/\/solveredu.com\/en\/kalkulator-belek\/truss_edited_edited\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/truss_edited_edited-e1769541356473.png?fit=377%2C233&amp;ssl=1\" data-orig-size=\"377,233\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"truss_edited_edited\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/truss_edited_edited-e1769541356473.png?fit=377%2C233&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/truss_edited_edited.png?ssl=1\" alt=\"\" class=\"wp-image-966\" style=\"width:269px;height:auto\"\/><\/a><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><a href=\"https:\/\/solveredu.com\/kalkulator-kratownic\/\">KALKULATOR KRATOWNIC<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Jak korzysta\u0107 z Kalkulatora Belek :<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Zak\u0142adka &#8222;D\u0142ugo\u015b\u0107&#8221;:\n<ul class=\"wp-block-list\">\n<li>Wprowad\u017a d\u0142ugo\u015b\u0107 belki jak\u0105 chcesz obliczy\u0107.<\/li>\n\n\n\n<li>Ustaw odpowiednie jednostki<\/li>\n\n\n\n<li>zaznacz pole &#8222;wykres si\u0142 normalnych&#8221; je\u015bli potrzebujesz obliczy\u0107 si\u0142y normalne w belce<\/li>\n\n\n\n<li>zaznacz &#8221; Odwr\u00f3\u0107 znak wykresu momentu&#8221; je\u015bli chcesz aby warto\u015bci dodatnie na wykresie momentu gn\u0105cego by\u0142y poni\u017cej osi poziomej<\/li>\n\n\n\n<li>Naci\u015bnij przycisk &#8222;Aktualizuj&#8221; w celu zapisania zmian<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Zak\u0142adka &#8222;Podpory&#8221;:\n<ul class=\"wp-block-list\">\n<li>Wybierz rodzaj podpory i wstaw j\u0105 w dowolnym punkcie na belce. Dost\u0119pne typy podp\u00f3r obejmuj\u0105:\n<ul class=\"wp-block-list\">\n<li>Podpora przegubowa nieprzesuwna<\/li>\n\n\n\n<li>Podpora przegubowa przesuwna<\/li>\n\n\n\n<li>Przegub wewn\u0119trzny<\/li>\n\n\n\n<li>Utwierdzenie&nbsp;<\/li>\n\n\n\n<li>\u0141y\u017cwa pionowa<\/li>\n\n\n\n<li>\u0141y\u017cwa pozioma<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Oznacza podpor\u0119 uzupe\u0142niaj\u0105c pole &#8222;Symbol&#8221;<\/li>\n\n\n\n<li>Naci\u015bnie przycisk &#8222;Dodaj&#8221;. Podpora zostanie dodana do schematu belki<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Zak\u0142adka &#8222;Obci\u0105\u017cenia&#8221;:\n<ul class=\"wp-block-list\">\n<li>Wybierz rodzaj obci\u0105\u017cenia i wstaw je w dowolnym punkcie na belce.&nbsp;Dost\u0119pne typy obci\u0105\u017ce\u0144 obejmuj\u0105:\n<ul class=\"wp-block-list\">\n<li>SI\u0142a skupiona<\/li>\n\n\n\n<li>Moment skupiony<\/li>\n\n\n\n<li>Obci\u0105\u017cenie r\u00f3wnomiernie roz\u0142o\u017cone<\/li>\n\n\n\n<li>Obci\u0105\u017cenie nier\u00f3wnomiernie roz\u0142o\u017cone<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Uzupe\u0142nij wymagane pola i naci\u015bnij &#8222;Dodaj&#8221;<\/li>\n\n\n\n<li>Obci\u0105\u017cenie zostanie dodane do rysunku schematu belki<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Zweryfikuj czy wszystkie wprowadzone dane s\u0105 prawid\u0142owe. W razie potrzeby u\u017cyj przycisku &#8222;Edytuj&#8221; dla konkretnej podpory lub obci\u0105\u017cenia.<\/li>\n\n\n\n<li>Naci\u015bnij Oblicz.<\/li>\n\n\n\n<li>Zostaniesz przeniesiony na now\u0105 stron\u0119 z wynikami dla swojego zadania. Wynik mo\u017cesz zapisa\u0107 do pliku Ms Word lub PDF.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Dlaczego warto korzysta\u0107 z Kalkulatora Belek?<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Kalkulator Belek to nie tylko narz\u0119dzie do szybkich oblicze\u0144, ale r\u00f3wnie\u017c wsparcie edukacyjne i projektowe. Dzi\u0119ki mo\u017cliwo\u015bci generowania wykres\u00f3w oraz precyzyjnych oblicze\u0144 u\u017cytkownik otrzymuje pe\u0142ny obraz dzia\u0142ania belki pod wp\u0142ywem r\u00f3\u017cnych typ\u00f3w obci\u0105\u017ce\u0144. Zautomatyzowane sprawdzanie statycznej wyznaczalno\u015bci pozwala unikn\u0105\u0107 b\u0142\u0119d\u00f3w na etapie projektowania, a interfejs aplikacji jest intuicyjny nawet dla pocz\u0105tkuj\u0105cych.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Aplikacja przydaje si\u0119 zar\u00f3wno studentom in\u017cynierii, jak i profesjonalnym konstruktorom. Dzi\u0119ki eksportowi wynik\u00f3w do pliku, mo\u017cliwe jest \u0142atwe tworzenie dokumentacji technicznej, a system linkowania do artyku\u0142\u00f3w sprawia, \u017ce u\u017cytkownik mo\u017ce zg\u0142\u0119bi\u0107 teoretyczne podstawy oblicze\u0144. Ponadto, dzi\u0119ki trybowi symbolicznemu mo\u017cliwe jest wykonywanie oblicze\u0144 bez podawania konkretnych warto\u015bci liczbowych \u2013 idealne przy nauce lub analizach por\u00f3wnawczych.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kalkulator zginania dost\u0119pny online to idealne rozwi\u0105zanie dla ka\u017cdego, kto potrzebuje szybko i dok\u0142adnie uzyska\u0107 wykresy si\u0142 tn\u0105cych i moment\u00f3w gn\u0105cych. Wykres si\u0142 wewn\u0119trznych pozwala na graficzn\u0105 interpretacj\u0119 dzia\u0142ania si\u0142 na belk\u0119, co jest szczeg\u00f3lnie pomocne w analizie projektowej oraz dydaktycznej. Nasz kalkulator zginania umo\u017cliwia wygenerowanie wykres\u00f3w w czasie rzeczywistym, na podstawie wprowadzonych danych wej\u015bciowych, co znacznie przyspiesza prac\u0119 i minimalizuje ryzyko b\u0142\u0119d\u00f3w.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dzi\u0119ki temu narz\u0119dziu zyskujesz dost\u0119p do funkcjonalno\u015bci takich jak pe\u0142ne wykresy si\u0142 tn\u0105cych, moment\u00f3w gn\u0105cych oraz si\u0142 normalnych \u2013 wszystko w jednym miejscu. Intuicyjny interfejs, mo\u017cliwo\u015b\u0107 szybkiej edycji danych, zapis wynik\u00f3w do pliku oraz odno\u015bniki do artyku\u0142\u00f3w sprawiaj\u0105, \u017ce nasz kalkulator belek to kompleksowe narz\u0119dzie zar\u00f3wno dla praktyk\u00f3w, jak i ucz\u0105cych si\u0119. Wypr\u00f3buj ju\u017c dzi\u015b i sprawd\u017a, jak mo\u017cesz upro\u015bci\u0107 swoje obliczenia in\u017cynierskie!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kalkulator Belek APLIKACJA ONLINE DO OBLICZE\u0143 ANALITYCZNYCH BELEK ZERO AI, CZYSTY ALGORYTM \u2013 GWARANCJA 100% POWTARZALNO\u015aCI WYNIK\u00d3W KOPIUJ ZADANIA, EDYTUJ PARAMETRY I GENERUJ RAPORTY Z WYNIKAMI W MGNIENIU OKA OBLICZANIE BELEK W KILKA MINUT !!! W Kalkulatorze Belek uzyskasz: Kalkulator wykres\u00f3w si\u0142 tn\u0105cych i moment\u00f3w SolverEdu to profesjonalne oprogramowanie do analizy strukturalnej, oferuj\u0105ce zaawansowane funkcje [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":344,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_wpcom_ai_launchpad_about_page":false,"_wpcom_ai_launchpad_gallery_page":false,"_wpcom_ai_launchpad_contact_page":false,"_wpcom_ai_launchpad_events_page":false,"_wpcom_ai_launchpad_video_page":false,"_wpcom_ai_launchpad_portfolio_piece":false,"footnotes":""},"class_list":["post-166","page","type-page","status-publish","has-post-thumbnail","hentry"],"jetpack_shortlink":"https:\/\/wp.me\/Pg3flK-2G","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/pages\/166","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/comments?post=166"}],"version-history":[{"count":61,"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/pages\/166\/revisions"}],"predecessor-version":[{"id":3294,"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/pages\/166\/revisions\/3294"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/media\/344"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/en\/wp-json\/wp\/v2\/media?parent=166"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}