{"id":1379,"date":"2024-09-23T14:58:53","date_gmt":"2024-09-23T12:58:53","guid":{"rendered":"https:\/\/solveredu.com\/?p=1379"},"modified":"2026-01-27T23:40:09","modified_gmt":"2026-01-27T22:40:09","slug":"truss-calculation-method-of-joints-example-solutions","status":"publish","type":"post","link":"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/","title":{"rendered":"Fesz\u00edt\u0151v\u00e1zak - csom\u00f3kiegyenl\u00edt\u00e9si m\u00f3dszer - p\u00e9ldafeladatok"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">Ebben a cikkben megtanulhatja, hogyan kell kisz\u00e1m\u00edtani egy statikailag determin\u00e1lt f\u00e1cska tagjaiban fell\u00e9p\u0151 er\u0151ket a csom\u00f3pontkiegyenl\u00edt\u00e9si m\u00f3dszerrel.<\/p>\n\n\n\n<ol id=\"iwmbp3uhy3fggp17945259\" class=\"wp-block-list\">\n<li><a href=\"#1qctj\">Csom\u00f3pont-kiegyenl\u00edt\u00e9si m\u00f3dszer<\/a><\/li>\n\n\n\n<li><a href=\"#xvw3h143749\">Truss megold\u00e1s k\u00e9zik\u00f6nyv<\/a><\/li>\n\n\n\n<li><a href=\"#igszs30304\">Node balancing m\u00f3dszer - p\u00e9lda egy feladat megold\u00e1s\u00e1ra<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"1qctj\" class=\"wp-block-heading has-large-font-size\">Csom\u00f3pont-kiegyenl\u00edt\u00e9si m\u00f3dszer<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"jkoif985\"><strong>Csom\u00f3pont-kiegyenl\u00edt\u00e9si (sz\u00e9tv\u00e1laszt\u00e1si) m\u00f3dszer<\/strong> az egyik m\u00f3dszer, amelyet a f\u00fcrt\u00f6s feladatok megold\u00e1s\u00e1ra haszn\u00e1lnak. Ezt az analitikus m\u00f3dszert sokan a legegyszer\u0171bbnek tartj\u00e1k, ugyanakkor sok sz\u00e1m\u00edt\u00e1ssal j\u00e1r\u00f3 munkaig\u00e9nyes, k\u00fcl\u00f6n\u00f6sen, ha a f\u00e1cska nagy sz\u00e1m\u00fa csom\u00f3ponttal \u00e9s taggal rendelkezik.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9b0514675\">Egy\u00e9b m\u00f3dszerek:<\/p>\n\n\n\n<ul id=\"i6fzh3uhy3fggp17945268\" class=\"wp-block-list\">\n<li>Ritter-m\u00f3dszer - analitikai-diagnosztikai m\u00f3dszer<\/li>\n\n\n\n<li>Cremona-m\u00f3dszer - \u00e1br\u00e1zol\u00e1s<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"5bz3j6100\">A m\u00f3dszer a gerendav\u00e1z tagjaiban fell\u00e9p\u0151 norm\u00e1ler\u0151k kisz\u00e1m\u00edt\u00e1s\u00e1t jelenti a csom\u00f3pontok (azaz a tagok tal\u00e1lkoz\u00e1si pontjai) egym\u00e1st k\u00f6vet\u0151 sz\u00e9tv\u00e1laszt\u00e1s\u00e1val.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Fontos, hogy a csom\u00f3pontnak, amelyet kisz\u00e1m\u00edtunk, legyen egy <strong>legfeljebb k\u00e9t r\u00fad<\/strong> amelyekre nem ismerj\u00fck a norm\u00e1ler\u0151ket. Mivel k\u00e9t egyens\u00falyi egyenlet \u00e1ll rendelkez\u00e9s\u00fcnkre (v\u00edzszintes er\u0151k \u00e9s f\u00fcgg\u0151leges er\u0151k), ezekb\u0151l az egyenletekb\u0151l legfeljebb k\u00e9t ismeretlen er\u0151t tudunk kisz\u00e1m\u00edtani.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"xvw3h143749\" class=\"wp-block-heading has-medium-font-size\">Truss megold\u00e1s k\u00e9zik\u00f6nyv<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ya7my143661\">Az al\u00e1bbiakban megtal\u00e1lja a receptet, az utas\u00edt\u00e1sokat pontokba szedve a truss megold\u00e1s\u00e1hoz:<\/p>\n\n\n\n<ol id=\"b0uhr3uhy3fggp17945292\" class=\"wp-block-list\">\n<li><em>A csom\u00f3pontok megnevez\u00e9se - egym\u00e1st k\u00f6vet\u0151 sz\u00e1mok (1,2,3...) vagy az \u00e1b\u00e9c\u00e9 bet\u0171i (A,B,C...).<\/em><\/li>\n\n\n\n<li><em>R\u00fadjel\u00f6l\u00e9s - \u00e1ltal\u00e1ban egym\u00e1st k\u00f6vet\u0151 sz\u00e1mjegyek (1,2,3...)<\/em><\/li>\n\n\n\n<li><em>A reakci\u00f3k meghat\u00e1roz\u00e1sa a hordoz\u00f3kban<\/em><\/li>\n\n\n\n<li><em>T\u00e1mogat\u00e1si reakci\u00f3k kisz\u00e1m\u00edt\u00e1sa egyens\u00falyi egyenletekb\u0151l (Fx, Fy, Mi)<\/em><\/li>\n\n\n\n<li><em>A csom\u00f3pontok sz\u00e9tv\u00e1laszt\u00e1sa \u00e9s a rudakban hat\u00f3 er\u0151k kisz\u00e1m\u00edt\u00e1sa az egyens\u00falyi egyenletekb\u0151l (Fx, Fy)<\/em><\/li>\n\n\n\n<li><em>Utols\u00f3 csom\u00f3pont ellen\u0151rz\u00e9se - opcion\u00e1lis<\/em><\/li>\n\n\n\n<li><em>\u00d6sszefoglal\u00f3 t\u00e1bl\u00e1zat (R\u00fadsz\u00e1m -&gt; Norm\u00e1ler\u0151)<\/em><\/li>\n\n\n\n<li>A r\u00e1csos f\u00e1cska diagramj\u00e1nak rajzol\u00e1sa a rudakban kifejezett er\u0151k \u00e9rt\u00e9keinek \u00e1br\u00e1zol\u00e1s\u00e1val<\/li>\n<\/ol>\n\n\n\n<h2 id=\"igszs30304\" class=\"wp-block-heading has-medium-font-size\">Node balancing m\u00f3dszer - p\u00e9lda egy feladat megold\u00e1s\u00e1ra<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"g4vew31777\">Az al\u00e1bbiakban mell\u00e9keltem egy \u00e1br\u00e1t a megoldand\u00f3 r\u00e1csszerkezetr\u0151l. A gerend\u00e1zat 6 csom\u00f3pontb\u00f3l \u00e9s 9 r\u00fadb\u00f3l \u00e1ll. H\u00e1rom koncentr\u00e1lt er\u0151 terheli: P1=2 kN, P2=6 kN \u00e9s P3=3 kN.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"t77wp31885\">A csom\u00f3pontokat az 1-t\u0151l 6-ig terjed\u0151 sz\u00e1mokkal jel\u00f6ltem. A t\u00e1maszokn\u00e1l az 1. csom\u00f3pontban l\u00e9v\u0151 cs\u00fasz\u00f3csap-t\u00e1maszhoz hozz\u00e1adtam az R1 t\u00e1maszreakci\u00f3s er\u0151ket. 4. csom\u00f3pontban l\u00e9v\u0151 nem cs\u00fasz\u00f3csap-t\u00e1maszhoz a H4 \u00e9s V4 er\u0151ket. Eml\u00e9keztet\u0151\u00fcl, a t\u00e1maszok t\u00edpusait \u00e9s a t\u00e1maszreakci\u00f3kat ebben a t\u00e1bl\u00e1zatban tal\u00e1lja. <a href=\"https:\/\/solveredu.com\/hu\/post\/support-reactions\/\" rel=\"noreferrer noopener\" target=\"_blank\"><u>bel\u00e9p\u00e9s<\/u><\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"944\" height=\"497\" data-attachment-id=\"1382\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?fit=944%2C497&amp;ssl=1\" data-orig-size=\"944,497\" 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=\"przyklad 1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?fit=944%2C497&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?resize=944%2C497&#038;ssl=1\" alt=\"Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1382\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?w=944&amp;ssl=1 944w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?resize=300%2C158&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?resize=768%2C404&amp;ssl=1 768w\" sizes=\"auto, (max-width: 944px) 100vw, 944px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"jugqt33923\">A k\u00f6vetkez\u0151 l\u00e9p\u00e9sben a h\u00e1rom egyens\u00falyi egyenletb\u0151l kisz\u00e1m\u00edtjuk a t\u00e1mogat\u00f3 reakci\u00f3kat.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"614\" height=\"285\" data-attachment-id=\"1384\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-2-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?fit=614%2C285&amp;ssl=1\" data-orig-size=\"614,285\" 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;1721933118&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=\"przyklad 2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?fit=614%2C285&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?resize=614%2C285&#038;ssl=1\" alt=\"Reakci\u00f3k,Trusses a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1nak m\u00f3dszere-p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1384\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?w=614&amp;ssl=1 614w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?resize=300%2C139&amp;ssl=1 300w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/figure>\n\n\n\n<figure style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\" class=\"wp-block-table\"><table class=\"has-theme-5-background-color has-text-color has-background has-link-color has-fixed-layout\" style=\"color:#ffffff\"><tbody><tr><td>Az ebben a bejegyz\u00e9sben haszn\u00e1lt \u00f6sszes p\u00e9ld\u00e1t az \u00e9n <a href=\"https:\/\/solveredu.com\/hu\/racsos-tarto-kalkulator\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u>Truss kalkul\u00e1tor<\/u><\/a>. Ebben az alkalmaz\u00e1sban meghat\u00e1rozhatja a tart\u00f3szerkezeti reakci\u00f3kat \u00e9s a norm\u00e1lis er\u0151ket a f\u00fcrt\u00f6s tagokban. L\u00e9p\u00e9sr\u0151l l\u00e9p\u00e9sre t\u00f6rt\u00e9n\u0151 sz\u00e1m\u00edt\u00e1sok, az egyes csom\u00f3pontokban fell\u00e9p\u0151 er\u0151k rajzai \u00e9s analitikus sz\u00e1m\u00edt\u00e1s. Nyugodtan pr\u00f3b\u00e1lja ki<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4wl6557584\">Miut\u00e1n kisz\u00e1m\u00edtottuk a t\u00e1maszreakci\u00f3k \u00e9rt\u00e9keit, j\u00f6het a k\u00f6vetkez\u0151 l\u00e9p\u00e9s, a csom\u00f3pontok sz\u00e9tv\u00e1laszt\u00e1sa. Eset\u00fcnkben az 1. csom\u00f3ponttal kezdj\u00fck, ebben a csom\u00f3pontban k\u00e9t ismeretlen r\u00fad van, N1-5 \u00e9s N1-2. A 45 fokos sz\u00f6g a r\u00fadrendszer geometri\u00e1j\u00e1b\u00f3l ad\u00f3dik.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. csom\u00f3pont<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"472\" height=\"736\" data-attachment-id=\"1386\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-3\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?fit=472%2C736&amp;ssl=1\" data-orig-size=\"472,736\" 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;1721933137&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=\"przyklad 3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?fit=472%2C736&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?resize=472%2C736&#038;ssl=1\" alt=\"Node , Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1386\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?w=472&amp;ssl=1 472w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?resize=192%2C300&amp;ssl=1 192w\" sizes=\"auto, (max-width: 472px) 100vw, 472px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ld1za72837\">A fenti \u00e1bra az 1. csom\u00f3pont er\u0151diagramj\u00e1t \u00e9s az 1-2. \u00e9s 1-5. s\u00e1vokban l\u00e9v\u0151 er\u0151k sz\u00e1m\u00edt\u00e1s\u00e1t mutatja. Ezeket az er\u0151ket az egyens\u00falyi felt\u00e9telekb\u0151l sz\u00e1m\u00edtott\u00e1k ki. <strong>a v\u00edzszintes er\u0151 vet\u00fcleteinek \u00f6sszege<\/strong> \u00e9s <strong>az er\u0151k f\u00fcgg\u0151leges vet\u00fcleteinek \u00f6sszege<\/strong> null\u00e1nak kell lennie. Az 1-2. r\u00fad fesz\u00fcl, mert az er\u0151 \u00e9rt\u00e9ke pozit\u00edv. Ezzel szemben az 1-5. r\u00fad \u00f6sszenyom\u00f3dik, mert az er\u0151 \u00e9rt\u00e9ke negat\u00edv.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ok96296824\">A k\u00f6vetkez\u0151 csom\u00f3pont, amellyel foglalkozni fogunk, a 4. csom\u00f3pont. Ebben a csom\u00f3pontban szint\u00e9n k\u00e9t ismeretlen er\u0151vel rendelkez\u00fcnk a 4-3 \u00e9s 4-6 r\u00fad eset\u00e9ben. A v\u00edzszintes er\u0151k vet\u00fcleteinek \u00f6sszeg\u00e9t \u00e9s a f\u00fcgg\u0151leges er\u0151k vet\u00fcleteinek \u00f6sszeg\u00e9t is haszn\u00e1ljuk az egyens\u00falyi felt\u00e9telekhez.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4. csom\u00f3pont<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"501\" height=\"717\" data-attachment-id=\"1387\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?fit=501%2C717&amp;ssl=1\" data-orig-size=\"501,717\" 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;1721933161&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=\"przyklad 4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?fit=501%2C717&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?resize=501%2C717&#038;ssl=1\" alt=\"Node , Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1387\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?w=501&amp;ssl=1 501w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?resize=210%2C300&amp;ssl=1 210w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Az egym\u00e1st k\u00f6vet\u0151 csom\u00f3pontok er\u0151inek megrajzol\u00e1sakor ne feledje a csom\u00f3pontra hat\u00f3 reakci\u00f3kat vagy k\u00fcls\u0151 er\u0151ket. A csom\u00f3pontok kiegyens\u00falyoz\u00e1si megold\u00e1sain\u00e1l gyakori hiba, hogy ezeket az er\u0151ket kihagyj\u00e1k.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"68m4b112645\">Ugyan\u00edgy j\u00e1runk el a k\u00f6vetkez\u0151 csom\u00f3pontokkal, szem el\u0151tt tartva, hogy a s\u00e1vban az ismeretlen er\u0151k maxim\u00e1lis sz\u00e1ma kett\u0151.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3. csom\u00f3pont<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"447\" height=\"616\" data-attachment-id=\"1388\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?fit=447%2C616&amp;ssl=1\" data-orig-size=\"447,616\" 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;1721933182&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=\"przyklad 5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?fit=447%2C616&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?resize=447%2C616&#038;ssl=1\" alt=\"Node , Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1388\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?w=447&amp;ssl=1 447w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?resize=218%2C300&amp;ssl=1 218w\" sizes=\"auto, (max-width: 447px) 100vw, 447px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">2. csom\u00f3pont<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"504\" height=\"626\" data-attachment-id=\"1390\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-6\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?fit=504%2C626&amp;ssl=1\" data-orig-size=\"504,626\" 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;1721933204&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=\"przyklad 6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?fit=504%2C626&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?resize=504%2C626&#038;ssl=1\" alt=\"Node , Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1390\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?w=504&amp;ssl=1 504w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?resize=242%2C300&amp;ssl=1 242w\" sizes=\"auto, (max-width: 504px) 100vw, 504px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">5. csom\u00f3pont<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"684\" height=\"753\" data-attachment-id=\"1392\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?fit=684%2C753&amp;ssl=1\" data-orig-size=\"684,753\" 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;1721933283&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=\"przyklad 7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?fit=684%2C753&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?resize=684%2C753&#038;ssl=1\" alt=\"Node , Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - p\u00e9lda feladatok, SolverEdu\" class=\"wp-image-1392\" style=\"width:499px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?w=684&amp;ssl=1 684w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?resize=273%2C300&amp;ssl=1 273w\" sizes=\"auto, (max-width: 684px) 100vw, 684px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"h0gos72632\">Miut\u00e1n kisz\u00e1m\u00edtottuk az \u00f6sszes norm\u00e1ler\u0151t a rudakban, t\u00e1bl\u00e1zatokat k\u00e9sz\u00edt\u00fcnk a r\u00fad-er\u0151 kombin\u00e1ci\u00f3val a r\u00fadban - a munka m\u00f3dja h\u00faz\u00e1s\/\u00f6sszenyom\u00e1s.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"479\" data-attachment-id=\"1393\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?fit=650%2C479&amp;ssl=1\" data-orig-size=\"650,479\" 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=\"przyklad 8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?fit=650%2C479&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?resize=650%2C479&#038;ssl=1\" alt=\"\u00f6sszefoglal\u00f3 , Trusses - knot balancing method - p\u00e9ldafeladatok, SolverEdu\" class=\"wp-image-1393\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?w=650&amp;ssl=1 650w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?resize=300%2C221&amp;ssl=1 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Ezenk\u00edv\u00fcl \u00e9rdemes a teljes f\u00e1cska diagramot megrajzolni, a tagokban l\u00e9v\u0151 er\u0151k \u00e9rt\u00e9keit \u00e1br\u00e1zolva. A piros sz\u00edn a h\u00faz\u00f3elemeket, a k\u00e9k sz\u00edn pedig a nyom\u00f3elemeket jel\u00f6li. A fekete sz\u00edn a nulla rudakat jel\u00f6li, ha vannak ilyenek.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"823\" height=\"523\" data-attachment-id=\"2943\" data-permalink=\"https:\/\/solveredu.com\/hu\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/rys\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?fit=823%2C523&amp;ssl=1\" data-orig-size=\"823,523\" 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=\"rys\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?fit=823%2C523&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=823%2C523&#038;ssl=1\" alt=\"Truss sz\u00e1m\u00edt\u00e1s, er\u0151k a rudakban a scjhemata, solveredu\" class=\"wp-image-2943\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?w=823&amp;ssl=1 823w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=300%2C191&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=768%2C488&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=18%2C12&amp;ssl=1 18w\" sizes=\"auto, (max-width: 823px) 100vw, 823px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"1pncc72034\">Ezzel lez\u00e1rul a bejegyz\u00e9s Trusses m\u00f3dszer a csom\u00f3pontok kiegyens\u00falyoz\u00e1s\u00e1ra - feladatok<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"vx3iv149586\">K\u00f6sz\u00f6n\u00f6m.<\/p>","protected":false},"excerpt":{"rendered":"<p>W tym artykule dowiecie si\u0119, jak za pomoc\u0105 metody r\u00f3wnowa\u017cenia w\u0119z\u0142\u00f3w obliczy\u0107 si\u0142y w pr\u0119tach kratownicy statycznie wyznaczalnej. Metoda r\u00f3wnowa\u017cenia w\u0119z\u0142\u00f3w Metoda r\u00f3wnowa\u017cenia (wydzielania) w\u0119z\u0142\u00f3w jest jedn\u0105 z metod stosowanych do rozwi\u0105zywania zada\u0144 z zakresu kratownic. Jest to metoda analityczna przez wiele os\u00f3b uwa\u017cana za naj\u0142atwiejsz\u0105, ale przy tym pracoch\u0142onn\u0105, przy kt\u00f3rej jest du\u017co oblicze\u0144, [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1488,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[14815],"tags":[14863,14864,14865],"class_list":["post-1379","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","tag-kratownica","tag-metoda-rownowazenia-wezlow","tag-sily-w-pretach-kratownicy"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-2.jpg?fit=944%2C497&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-mf","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/1379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/comments?post=1379"}],"version-history":[{"count":12,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/1379\/revisions"}],"predecessor-version":[{"id":3070,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/1379\/revisions\/3070"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/media\/1488"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/media?parent=1379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/categories?post=1379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/tags?post=1379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}