{"id":1136,"date":"2024-09-23T14:59:15","date_gmt":"2024-09-23T12:59:15","guid":{"rendered":"https:\/\/solveredu.com\/?p=1136"},"modified":"2026-01-27T23:46:49","modified_gmt":"2026-01-27T22:46:49","slug":"kirisler-icin-destek-reaksiyonlarinin-hesaplanmasi","status":"publish","type":"post","link":"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/","title":{"rendered":"Kiri\u015fler i\u00e7in destek reaksiyonlar\u0131n\u0131n hesaplanmas\u0131"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">Bu giri\u015fte:<\/p>\n\n\n\n<ol id=\"xqjekalzbxltg191795\" class=\"wp-block-list\">\n<li><a href=\"#f36vd\">Bir kiri\u015fteki destek reaksiyonlar\u0131n\u0131 hesaplama ad\u0131mlar\u0131<\/a><\/li>\n\n\n\n<li><a href=\"#4f350\">Basit mesnetli kiri\u015f - reaksiyon hesab\u0131<\/a><\/li>\n\n\n\n<li><a href=\"#ab8sm\">Konsol kiri\u015f - Tepkilerin hesaplanmas\u0131<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"f36vd\" class=\"wp-block-heading has-medium-font-size\">Bir kiri\u015fteki reaksiyonlar\u0131 hesaplama s\u00fcreci<\/h1>\n\n\n\n<ul id=\"4gh4aalzbxltg191802\" class=\"wp-block-list\">\n<li>Destek noktas\u0131nda uygun destek reaksiyonlar\u0131n\u0131 tan\u0131tarak ba\u015fl\u0131yoruz. Bu konuda daha fazla bilgi i\u00e7in bkz. <a href=\"https:\/\/solveredu.com\/tr\/post\/mesnet-reaksiyonlari\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mesnet Reaksiyonlar\u0131<\/a>.<\/li>\n\n\n\n<li>Daha sonra kiri\u015fin statik olarak kararl\u0131 olup olmad\u0131\u011f\u0131n\u0131 kontrol ederiz. Bu konuda daha fazla bilgi i\u00e7in bkz. <a href=\"https:\/\/solveredu.com\/tr\/post\/statyczna-wyznaczalnosc\/\">Durum belirlenebilirli\u011fi<\/a>.<\/li>\n\n\n\n<li>Bir sonraki ad\u0131mda, denge denklemlerini yaz\u0131yoruz. Bu konuda daha fazla bilgi i\u00e7in bkz. <a href=\"https:\/\/solveredu.com\/tr\/post\/static-equilibrium-equations\/\">Denge denklemleri<\/a>.<\/li>\n<\/ul>\n\n\n\n<h2 id=\"4f350\" class=\"wp-block-heading has-medium-font-size\">Basit mesnetli kiri\u015f - Kiri\u015fler i\u00e7in mesnet reaksiyonlar\u0131n\u0131n hesaplanmas\u0131<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ksgp\">Koordinat sistemini alarak ve saat y\u00f6n\u00fcn\u00fcn tersine pozitif bir momentum varsayarak ba\u015flayal\u0131m.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"629\" height=\"591\" data-attachment-id=\"1138\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/uklad-wspol\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/uklad-wspol.png?fit=629%2C591&amp;ssl=1\" data-orig-size=\"629,591\" 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=\"uklad wspol\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/uklad-wspol.png?fit=629%2C591&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/uklad-wspol.png?resize=629%2C591&#038;ssl=1\" alt=\"E\u011filme momenti i\u015faretleme, Solveredu\" class=\"wp-image-1138\" style=\"width:358px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/uklad-wspol.png?w=629&amp;ssl=1 629w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/uklad-wspol.png?resize=300%2C282&amp;ssl=1 300w\" sizes=\"auto, (max-width: 629px) 100vw, 629px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4o97f\">A\u015fa\u011f\u0131da basit destekli bir kiri\u015fin \u00f6rnek diyagram\u0131n\u0131 ekledim. Bu, her iki ucunda mente\u015feli desteklerle desteklenen kiri\u015f olarak adland\u0131rd\u0131\u011f\u0131m\u0131z \u015feydir. Bu kiri\u015f i\u00e7in destek reaksiyonlar\u0131n\u0131 belirleyece\u011fiz.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"340\" data-attachment-id=\"1139\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/belka_swobodna\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?fit=1105%2C367&amp;ssl=1\" data-orig-size=\"1105,367\" 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=\"belka_swobodna\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?fit=1024%2C340&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?resize=1024%2C340&#038;ssl=1\" alt=\"basit destekli kiri\u015f, SolverEdu\" class=\"wp-image-1139\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?resize=1024%2C340&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?resize=300%2C100&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?resize=768%2C255&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_swobodna.png?w=1105&amp;ssl=1 1105w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ej0ur\">Kiri\u015fin \u00e7iziminde reaksiyonlar zaten eklenmi\u015ftir. Dolay\u0131s\u0131yla A noktas\u0131nda kaymayan bir pimli deste\u011fimiz vard\u0131r, bu nedenle bir yatay reaksiyon HA ve bir dikey reaksiyon VA ekleriz. Kiri\u015fin sonundaki B noktas\u0131nda kayan bir pimli deste\u011fimiz var, bu nedenle bir dikey reaksiyon VB ekliyoruz. \u015eimdi de statik belirlenebilirli\u011fi kontrol edelim.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><em>N=R-J-3<\/em>=3-0-3=0 - kiri\u015f statik olarak belirlenebilir<br>Nerede?<br>N - statik derecesi sonu\u00e7suz<br>R =3 - destek reaksiyonlar\u0131n\u0131n say\u0131s\u0131<br>J =0 - i\u00e7 ba\u011flant\u0131lar\u0131n say\u0131s\u0131<br>3 - denge denklemlerinin say\u0131s\u0131. Statik sistemlerde bu say\u0131 3't\u00fcr<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"gepr\">Denge denklemlerinin zaman\u0131 geldi. Bir d\u00fczlem kuvvet sistemi i\u00e7in \u00fc\u00e7 denklemimiz oldu\u011funu unutmay\u0131n:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5CSigma+F_%7Bix%7D+%3D+0+&#038;bg=ffffff&#038;fg=000&#038;s=2&#038;c=20201002\" alt=\"\\F_{ix} = 0\" class=\"latex\" \/> - kuvvetlerin x ekseni \u00fczerindeki izd\u00fc\u015f\u00fcmlerinin toplam\u0131<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5CSigma+F_%7Biy%7D+%3D+0+&#038;bg=ffffff&#038;fg=000&#038;s=2&#038;c=20201002\" alt=\"\\F_{iy} = 0\" class=\"latex\" \/> - kuvvetlerin y eksenindeki izd\u00fc\u015f\u00fcmlerinin toplam\u0131<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5CSigma+M_%7Bi%7D+%3D+0+&#038;bg=ffffff&#038;fg=000&#038;s=2&#038;c=20201002\" alt=\"\\M_{i} = 0\" class=\"latex\" \/> - bir noktadaki momentlerin toplam\u0131<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"96aeg\">\u0130lk ve en basit denklemle ba\u015flayal\u0131m. Kuvvetlerin x ekseni \u00fczerindeki izd\u00fc\u015f\u00fcmlerinin toplam\u0131.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"271\" height=\"51\" data-attachment-id=\"1141\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/swobodna-fx\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fx.png?fit=271%2C51&amp;ssl=1\" data-orig-size=\"271,51\" 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=\"swobodna Fx\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fx.png?fit=271%2C51&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fx.png?resize=271%2C51&#038;ssl=1\" alt=\"Bir kiri\u015fteki yatay kuvvet denklemi, SolverEdu\" class=\"wp-image-1141\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"d8ikk\">Basit mesnetli kiri\u015f \u00f6rne\u011fimizde x ekseni y\u00f6n\u00fcnde etki eden bir kuvvet bile\u015feni olmad\u0131\u011f\u0131ndan, tepki HA=0'd\u0131r.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9dcrl\">Daha sonra bir noktadaki momentlerin toplam\u0131 i\u00e7in \u00fc\u00e7\u00fcnc\u00fc denkleme ge\u00e7iyoruz.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"f06p\">Nokta se\u00e7imi size kalm\u0131\u015f. Ben A noktas\u0131n\u0131 se\u00e7tim.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Momentler toplam\u0131n\u0131n denge denklemlerini belirlerken, desteklerden birinin bulundu\u011fu noktay\u0131 se\u00e7mek en iyisidir.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"cj3t3\">\u00d6rne\u011fimizde, A veya B noktalar\u0131ndan birini se\u00e7me \u015fans\u0131m\u0131z var. Desteklerden birini se\u00e7erek, bu deste\u011fin tepkisinin moment denklemimizde g\u00f6r\u00fcnmemesine neden oluyoruz, \u00e7\u00fcnk\u00fc moment kuvvet ile kolun \u00e7arp\u0131m\u0131d\u0131r. Kol s\u0131f\u0131rsa (kuvvet A noktam\u0131zdan ge\u00e7iyorsa), bu kuvvetin momenti de s\u0131f\u0131r olacakt\u0131r, dolay\u0131s\u0131yla denklemden \u00e7\u0131karabiliriz.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"634\" height=\"108\" data-attachment-id=\"1144\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/swobodna-moment\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-moment.png?fit=634%2C108&amp;ssl=1\" data-orig-size=\"634,108\" 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=\"swobodna moment\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-moment.png?fit=634%2C108&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-moment.png?resize=634%2C108&#038;ssl=1\" alt=\"Kiri\u015fte e\u011filme momenti denklemi, SolverEdu\" class=\"wp-image-1144\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-moment.png?w=634&amp;ssl=1 634w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-moment.png?resize=300%2C51&amp;ssl=1 300w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"10bap\">Denklemde \u015fu var:<\/p>\n\n\n\n<ul id=\"uwvigalzbxltg191830\" class=\"wp-block-list\">\n<li>VB tepkisi, A ve B noktalar\u0131 aras\u0131ndaki mesafe olan 12 ile \u00e7arp\u0131l\u0131r.<\/li>\n\n\n\n<li>F kuvvetinin 2 ile \u00e7arp\u0131m\u0131, yani F kuvvetinin A noktas\u0131ndan uzakl\u0131\u011f\u0131<\/li>\n\n\n\n<li>E\u011filme momenti M. Moment mesafe ile \u00e7arp\u0131lmaz.<\/li>\n\n\n\n<li>S\u00fcrekli y\u00fck q, \u00fczerinde hareket etti\u011fi uzunluk 4 ve q'nun merkezinin A noktas\u0131na olan uzakl\u0131\u011f\u0131 olan 6 ile \u00e7arp\u0131l\u0131r.<\/li>\n\n\n\n<li>\u015eekil 1'de ba\u015flang\u0131\u00e7ta varsayd\u0131\u011f\u0131m\u0131za g\u00f6re momentlerin i\u015faretlerini not ediyoruz<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"en11l\">D\u00f6n\u00fc\u015f\u00fcmlerden sonra, VB kuvvetinin de\u011ferini elde ederiz, b\u00f6ylece ray reaksiyonunu hesaplam\u0131\u015f oluruz.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ef55t\">Son olarak, y ekseni y\u00f6n\u00fcndeki kuvvetler i\u00e7in denge denklemini yazaca\u011f\u0131z.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"483\" height=\"113\" data-attachment-id=\"1145\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/swobodna-fy\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fy.png?fit=483%2C113&amp;ssl=1\" data-orig-size=\"483,113\" 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=\"swobodna Fy\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fy.png?fit=483%2C113&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fy.png?resize=483%2C113&#038;ssl=1\" alt=\"Bir kiri\u015fteki dikey kuvvetlerin denklemi, SolverEdu\" class=\"wp-image-1145\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fy.png?w=483&amp;ssl=1 483w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-Fy.png?resize=300%2C70&amp;ssl=1 300w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"fiegd\">Denklemde \u015fu var:<\/p>\n\n\n\n<ul id=\"ouapdalzbxltg191843\" class=\"wp-block-list\">\n<li>VA kuvvetinin geri d\u00f6n\u00fc\u015f\u00fc y ekseninin geri d\u00f6n\u00fc\u015f\u00fc ile ayn\u0131 do\u011frultuda oldu\u011fundan, pozitif i\u015faretli VA reaksiyonu<\/li>\n\n\n\n<li>VA kuvveti d\u00f6n\u00fc\u015f\u00fc y ekseni d\u00f6n\u00fc\u015f\u00fc ile ayn\u0131 hizada oldu\u011fu i\u00e7in pozitif i\u015faretli VB reaksiyonu<\/li>\n\n\n\n<li>S\u00fcrekli y\u00fck q'nun 4 ile \u00e7arp\u0131m\u0131, yani etki etti\u011fi uzunluk<\/li>\n\n\n\n<li>F kuvvetinin d\u00f6n\u00fc\u015f\u00fc y ekseninin tersi oldu\u011fundan, F kuvveti ka\u00e7ma i\u015faretiyle<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"5kh4b\">D\u00f6n\u00fc\u015f\u00fcmlerden ve VB de\u011ferini yerine koyduktan sonra VA kuvvetinin de\u011ferini elde ederiz. Bu \u015fekilde t\u00fcm reaksiyonlar\u0131 hesaplam\u0131\u015f olduk.<\/p>\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>\u00c7\u00f6z\u00fcm\u00fcn tamam\u0131n\u0131 a\u015fa\u011f\u0131ya ekledim. Bu \u00e7\u00f6z\u00fcm benim  <a href=\"https:\/\/app.solveredu.com\/solver-detail\/1\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u>Kiri\u015f Hesapl<\/u>ay\u0131c\u0131<\/a>. Bu uygulamada, statik olarak belirlenebilir herhangi bir kiri\u015f i\u00e7in reaksiyonlar\u0131, kesme kuvvetlerini ve e\u011filme momentlerini hesaplayabilirsiniz.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"639\" height=\"299\" data-attachment-id=\"1148\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/swobodna-calosc-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-calosc-1.png?fit=639%2C299&amp;ssl=1\" data-orig-size=\"639,299\" 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=\"swobodna calosc\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-calosc-1.png?fit=639%2C299&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-calosc-1.png?resize=639%2C299&#038;ssl=1\" alt=\"Bir kiri\u015fteki kuvvet denklemi, SolverEdu\" class=\"wp-image-1148\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-calosc-1.png?w=639&amp;ssl=1 639w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/swobodna-calosc-1.png?resize=300%2C140&amp;ssl=1 300w\" sizes=\"auto, (max-width: 639px) 100vw, 639px\" \/><\/figure>\n\n\n\n<h2 id=\"f46pl\" class=\"wp-block-heading has-medium-font-size\">Konsollu, s\u0131n\u0131rland\u0131r\u0131lm\u0131\u015f kiri\u015f - Kiri\u015fler i\u00e7in destek reaksiyonlar\u0131n\u0131n hesaplanmas\u0131<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"frcde\">A\u015fa\u011f\u0131da bir konsol kiri\u015f diyagram\u0131 \u00f6rne\u011fi ekledim. Bu, bir ucundan s\u0131n\u0131rland\u0131r\u0131lm\u0131\u015f kiri\u015f dedi\u011fimiz \u015feydir. Bu kiri\u015f i\u00e7in mesnet reaksiyonlar\u0131n\u0131 belirleyece\u011fiz.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"244\" data-attachment-id=\"1149\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/belka_wspornik\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_wspornik.png?fit=900%2C244&amp;ssl=1\" data-orig-size=\"900,244\" 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=\"belka_wspornik\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_wspornik.png?fit=900%2C244&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_wspornik.png?resize=900%2C244&#038;ssl=1\" alt=\"Konsol kiri\u015f , SolverEdu\" class=\"wp-image-1149\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_wspornik.png?w=900&amp;ssl=1 900w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_wspornik.png?resize=300%2C81&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/belka_wspornik.png?resize=768%2C208&amp;ssl=1 768w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"avnf1\">Kiri\u015fin \u00e7iziminde, reaksiyonlar zaten eklenmi\u015ftir. A noktas\u0131nda bir k\u0131s\u0131tlama var, bu y\u00fczden yatay reaksiyon HA'y\u0131, dikey reaksiyon VA'y\u0131 ve k\u0131s\u0131tlama momenti MA'y\u0131 ekliyoruz. Daha sonra, statik belirlenebilirli\u011fi kontrol edelim.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><em>N=R-J-3<\/em>=3-0-3=0 - kiri\u015f statik olarak belirlenebilir<br>Nerede?<br>N - statik derecesi sonu\u00e7suz<br>R =3 - destek reaksiyonlar\u0131n\u0131n say\u0131s\u0131<br>J =0 - i\u00e7 ba\u011flant\u0131lar\u0131n say\u0131s\u0131<br>3 - denge denklemlerinin say\u0131s\u0131. Statik sistemlerde bu say\u0131 3't\u00fcr<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ec4dk\">Denge denklemlerinin zaman\u0131 geldi. Bir d\u00fczlem kuvvet sistemi i\u00e7in \u00fc\u00e7 denklemimiz oldu\u011funu unutmay\u0131n:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5CSigma+F_%7Bix%7D+%3D+0+&#038;bg=ffffff&#038;fg=000&#038;s=2&#038;c=20201002\" alt=\"\\F_{ix} = 0\" class=\"latex\" \/> - kuvvetlerin x ekseni \u00fczerindeki izd\u00fc\u015f\u00fcmlerinin toplam\u0131<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5CSigma+F_%7Biy%7D+%3D+0+&#038;bg=ffffff&#038;fg=000&#038;s=2&#038;c=20201002\" alt=\"\\F_{iy} = 0\" class=\"latex\" \/> - kuvvetlerin y eksenindeki izd\u00fc\u015f\u00fcmlerinin toplam\u0131<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5CSigma+M_%7Bi%7D+%3D+0+&#038;bg=ffffff&#038;fg=000&#038;s=2&#038;c=20201002\" alt=\"\\M_{i} = 0\" class=\"latex\" \/> - bir noktadaki momentlerin toplam\u0131<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4imu0\">Daha \u00f6nce oldu\u011fu gibi, ilk denklemle ba\u015flayal\u0131m. Kuvvetlerin x ekseni \u00fczerindeki izd\u00fc\u015f\u00fcmlerinin toplam\u0131.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"458\" height=\"118\" data-attachment-id=\"1150\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/wspornik_fx\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_fx.png?fit=458%2C118&amp;ssl=1\" data-orig-size=\"458,118\" 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=\"wspornik_fx\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_fx.png?fit=458%2C118&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_fx.png?resize=458%2C118&#038;ssl=1\" alt=\"Denge denklemleri y\u00f6n x, SolverEdu\" class=\"wp-image-1150\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_fx.png?w=458&amp;ssl=1 458w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_fx.png?resize=300%2C77&amp;ssl=1 300w\" sizes=\"auto, (max-width: 458px) 100vw, 458px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"304g3\">Denklemde \u015fu var:<\/p>\n\n\n\n<ul id=\"0ogvzalzbxltg191861\" class=\"wp-block-list\">\n<li>HA kuvvetinin geri d\u00f6n\u00fc\u015f\u00fc x ekseninin geri d\u00f6n\u00fc\u015f\u00fc ile ayn\u0131 do\u011frultuda oldu\u011fu i\u00e7in pozitif i\u015faretli HA reaksiyonu<\/li>\n\n\n\n<li>F kuvvetinin y\u00f6n\u00fc x ekseninin tersi oldu\u011fundan, F kuvvetinin yatay bile\u015feni ka\u00e7ma i\u015faretiyle birlikte<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4jb52\">D\u00f6n\u00fc\u015f\u00fcmlerden sonra HA kuvvetinin de\u011ferini elde ederiz. \u0130lk reaksiyonu hesaplad\u0131k.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"elg2o\">Daha sonra y ekseni y\u00f6n\u00fcndeki kuvvetler i\u00e7in denge denklemini yazaca\u011f\u0131z.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"496\" height=\"109\" data-attachment-id=\"1152\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/wspornik-fy\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik-fy.png?fit=496%2C109&amp;ssl=1\" data-orig-size=\"496,109\" 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=\"wspornik fy\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik-fy.png?fit=496%2C109&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik-fy.png?resize=496%2C109&#038;ssl=1\" alt=\"Bir kiri\u015fteki dikey kuvvetlerin denklemi, SolverEdu\" class=\"wp-image-1152\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik-fy.png?w=496&amp;ssl=1 496w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik-fy.png?resize=300%2C66&amp;ssl=1 300w\" sizes=\"auto, (max-width: 496px) 100vw, 496px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"7tl1b\">Denklemde \u015fu var:<\/p>\n\n\n\n<ul id=\"l6z1yalzbxltg191872\" class=\"wp-block-list\">\n<li>VA kuvvetinin geri d\u00f6n\u00fc\u015f\u00fc y ekseninin geri d\u00f6n\u00fc\u015f\u00fc ile ayn\u0131 do\u011frultuda oldu\u011fundan, pozitif i\u015faretli VA reaksiyonu<\/li>\n\n\n\n<li>S\u00fcrekli y\u00fck q'nun 5 ile \u00e7arp\u0131m\u0131, yani etki etti\u011fi uzunluk<\/li>\n\n\n\n<li>F kuvveti d\u00f6n\u00fc\u015f\u00fc y ekseni ile ayn\u0131 do\u011frultuda oldu\u011fundan, F kuvvetinin pozitif i\u015faretli dikey bile\u015feni<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"1h5ff\">D\u00f6n\u00fc\u015f\u00fcmlerden sonra VA kuvvetinin de\u011ferini elde ederiz. \u0130ki reaksiyonu zaten hesaplad\u0131k\ud83d\ude0a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"45qso\">Son olarak, bir noktadaki momentlerin toplam\u0131 i\u00e7in \u00fc\u00e7\u00fcnc\u00fc denkleme d\u00f6n\u00fcyoruz.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"2nlfm\">Nokta se\u00e7imi size kalm\u0131\u015f. Ben A noktas\u0131n\u0131 se\u00e7tim. Basit mesnetli bir kiri\u015fte oldu\u011fu gibi, tepkilerimizin oldu\u011fu bir nokta se\u00e7mek iyidir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"bcim\">A\u015fa\u011f\u0131daki denklemi elde ederiz:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"685\" height=\"125\" data-attachment-id=\"1153\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/wspornik_ma\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_Ma.png?fit=685%2C125&amp;ssl=1\" data-orig-size=\"685,125\" 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=\"wspornik_Ma\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_Ma.png?fit=685%2C125&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_Ma.png?resize=685%2C125&#038;ssl=1\" alt=\"Bir kiri\u015fteki moment denklemi, SolverEdu\" class=\"wp-image-1153\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_Ma.png?w=685&amp;ssl=1 685w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wspornik_Ma.png?resize=300%2C55&amp;ssl=1 300w\" sizes=\"auto, (max-width: 685px) 100vw, 685px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"bclog\">Denklemde \u015fu var:<\/p>\n\n\n\n<ul id=\"7ki8nalzbxltg191888\" class=\"wp-block-list\">\n<li>Bir tepki olarak MA k\u0131s\u0131tlama momenti<\/li>\n\n\n\n<li>Fsin45 kuvveti, F kuvvetinin A noktas\u0131na olan uzakl\u0131\u011f\u0131 olan 5 ile \u00e7arp\u0131l\u0131r<\/li>\n\n\n\n<li>E\u011filme momenti M. Momenti mesafe ile \u00e7arpm\u0131yoruz. Eksi \u00e7\u00fcnk\u00fc pozitif d\u00f6n\u00fc\u015f\u00fcm\u00fcz\u00fcn tersidir<\/li>\n\n\n\n<li>S\u00fcrekli y\u00fck q, \u00fczerinde hareket etti\u011fi uzunluk 5 ve q'nun merkezinin A noktas\u0131na olan uzakl\u0131\u011f\u0131 olan 12,5 ile \u00e7arp\u0131l\u0131r.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"d2eot\">D\u00f6n\u00fc\u015f\u00fcmlerden sonra MA momentinin de\u011ferini elde ederiz. T\u00fcm reaksiyonlar\u0131 belirledik. S\u00fcper!!!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"7oinn\" style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\">A\u015fa\u011f\u0131da t\u00fcm \u00e7\u00f6z\u00fcm\u00fc a\u015fa\u011f\u0131dakilerle birlikte ekledim <a href=\"\/tr\/kiris-hesaplayici\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u><strong>Kiri\u015f Hesaplay\u0131c\u0131<\/strong><\/u><\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"702\" height=\"367\" data-attachment-id=\"1155\" data-permalink=\"https:\/\/solveredu.com\/tr\/post\/obliczanie-reakcji-podporowych-dla-belek\/calosc_wspornik\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/calosc_wspornik.png?fit=702%2C367&amp;ssl=1\" data-orig-size=\"702,367\" 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=\"calosc_wspornik\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/calosc_wspornik.png?fit=702%2C367&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/calosc_wspornik.png?resize=702%2C367&#038;ssl=1\" alt=\"Bir kiri\u015fteki kuvvet denklemi, SolverEdu\" class=\"wp-image-1155\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/calosc_wspornik.png?w=702&amp;ssl=1 702w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/calosc_wspornik.png?resize=300%2C157&amp;ssl=1 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"3so8q\">Bu, kiri\u015fler i\u00e7in destek reaksiyonlar\u0131n\u0131 hesaplayan giri\u015fi tamamlar. Te\u015fekk\u00fcrler \ud83d\ude0a<\/p>","protected":false},"excerpt":{"rendered":"<p>W tym wpisie: Proces obliczania reakcji w belce Belka swobodnie podparta &#8211; obliczanie reakcji podporowych dla belek Zacznijmy od przyj\u0119cia uk\u0142adu wsp\u00f3\u0142rz\u0119dnych oraz przyj\u0119cia dodatniego zwrot momentu przeciwnie do ruchu wskaz\u00f3wek zegara. Poni\u017cej zamie\u015bci\u0142em przyk\u0142adowy schemat belki swobodnie podpartej. Tak nazywamy belk\u0119 podpart\u0105 podporami przegubowymi na obu jej ko\u0144cach. Wyznaczymy dla tej belki reakcje podporowe. [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1490,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_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},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[14815,14816],"tags":[14846,14820,14845,14847],"class_list":["post-1136","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","category-wytrzymalosc-materialow","tag-belka-swobodnie-podparta","tag-rownania-rownowagi","tag-reakcje-podporowe","tag-stateczna-wyznaczalnosc"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/okladka.jpg?fit=994%2C795&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-ik","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts\/1136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/comments?post=1136"}],"version-history":[{"count":26,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts\/1136\/revisions"}],"predecessor-version":[{"id":3078,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/posts\/1136\/revisions\/3078"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/media\/1490"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/media?parent=1136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/categories?post=1136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/tr\/wp-json\/wp\/v2\/tags?post=1136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}