{"id":466,"date":"2025-05-17T14:21:57","date_gmt":"2025-05-17T14:21:57","guid":{"rendered":"https:\/\/spectracons.com\/?p=466"},"modified":"2025-07-23T12:30:39","modified_gmt":"2025-07-23T12:30:39","slug":"111-kapali-poligon-kesitler","status":"publish","type":"post","link":"https:\/\/spectracons.com\/?p=466","title":{"rendered":"111-Kapal\u0131 Poligon Kesitler"},"content":{"rendered":"\n

Mukavemet derslerinde detayl\u0131ca anlat\u0131lan kesitlerin atalet momentleri ile ilgili hesaplar m\u00fchendislik hayat\u0131nda gerek \u00e7elik yap\u0131lar gerekse betonarme yap\u0131larda s\u0131kl\u0131kla hesaplar\u0131n i\u00e7erisine dahil olmaktad\u0131r. Bilinen basit dikd\u00f6rtgen ve daire formlar\u0131n\u0131n yan\u0131s\u0131ra kapal\u0131 poligonlar i\u00e7in de de\u011fi\u015fik metotlarla hesaplanm\u0131\u015f form\u00fcller mevcuttur. Bu form\u00fcller yard\u0131m\u0131yla yap\u0131lm\u0131\u015f olan bir program a\u015fa\u011f\u0131 adresten indirilebilir.<\/p>\n\n\n\n

Polygon-inertia<\/a><\/p>\n\n\n\n

Programda \u201cmain\u201d sekmesinde, tamamen excel kullan\u0131larak hesaplar yap\u0131lm\u0131\u015f, \u201cmacro\u201d sekmesinde ise i\u015flemler VBA edit\u00f6r\u00fcnde yap\u0131lm\u0131\u015ft\u0131r. Her iki sekmedede koordinatlar elle, saat y\u00f6n\u00fcn\u00fcn tersine ve poligon birbirini kesmeyecek \u015fekilde girilmelidir. Nokta say\u0131s\u0131 de\u011ferinin \u201cmain\u201d sekmesinde elle girilmesi gerekirken, \u201cmacro\u201d sekmesinde gerekli de\u011fildir.<\/p>\n\n\n\n

Program\u0131 do\u011frulamak amac\u0131yla AutoCAD de a\u015fa\u011f\u0131daki polyline ile olu\u015fturulmu\u015f ve \u201cregion\u201d komutu ile d\u00fczlem elemana d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015ft\u00fcr.<\/p>\n\n\n\n

CAD<\/a><\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

Polyline formundayken nesnenin koordinat bilgileri \u201clist\u201d komutu ile al\u0131n\u0131rken, poligon tan\u0131mlas\u0131nda nokta t\u0131klamalar\u0131 saatin tersi y\u00f6nde yap\u0131ld\u0131\u011f\u0131 i\u00e7in t\u00fcm koordinatlarda s\u0131ras\u0131yla gelecektir.<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n
\"\"\/<\/figure>\n\n\n\n

Ard\u0131ndan nesne \u201cregion\u201d komutu ile d\u00fczlem olarak d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcp, \u201cmassprop\u201d komutu ile \u00f6zellikleri al\u0131nacak ve sonu\u00e7 de\u011ferleri program ile kontrol edilecektir.<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

(Yukar\u0131 g\u00f6r\u00fcnt\u00fcde I ve J asal atalet momentlerinin yan\u0131ndaki koordinatlar asal eksen koordinatlar\u0131d\u0131r. E\u011fer UCS asal eksene ta\u015f\u0131n\u0131rsa yukar\u0131 resimdeki Moments of Inertia ve Principal moments of Inertias e\u015fit \u00e7\u0131kacak, Ixy \u00e7arp\u0131m atalat momenti 0 olacakt\u0131r.)<\/p>\n\n\n\n

Program sonucunun ekran g\u00f6r\u00fcnt\u00fcs\u00fc<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

Autocad in verdi\u011fi principal moment of inertia de\u011ferleri ile programdaki Ix\u2019 ve Iy\u2019 de\u011ferleri, geometrik merkez \u00f6rt\u00fc\u015fmektedir. Fakat moments of inertia de\u011ferleri \u00e7ok farkl\u0131 \u00e7\u0131kmaktad\u0131r. Bunun nedeni AutoCAD in bu de\u011ferleri hesaplarken global 0,0,0 noktas\u0131na g\u00f6re hesaplar\u0131 yapmas\u0131ndan kaynaklanmaktad\u0131r. A\u011f\u0131rl\u0131k merkezi i\u015faretleni\u011f UCS bu noktaya yerle\u015ftirilirse e\u011fer sonu\u00e7lar a\u015fa\u011f\u0131daki \u015fekilde olacakt\u0131r.<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

Birebir t\u00fcm sonu\u00e7lar ayn\u0131 \u00e7\u0131kmaktad\u0131r.<\/p>\n\n\n\n

Kapal\u0131 poligonlar\u0131n atalet momentleri hesaplar\u0131 i\u00e7in a\u015fa\u011f\u0131daki adreslerden faydalan\u0131lm\u0131\u015ft\u0131r, a\u011f\u0131rl\u0131k merkezi i\u00e7in ise bir\u00e7ok kaynak mevcuttur.<\/p>\n\n\n\n

https:\/\/en.wikipedia.org\/wiki\/Second_moment_of_area<\/a><\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n

Asal atalet momentlerine ge\u00e7i\u015fte de klasik mukavemet form\u00fclleri kullan\u0131lm\u0131\u015ft\u0131r. Kullan\u0131lan form\u00fcllere ait bilgiler \u201cData\u201d sekmesinde mevcuttur.<\/p>\n\n\n\n

(E.I. ye ithafen)<\/p>\n","protected":false},"excerpt":{"rendered":"

Mukavemet derslerinde detayl\u0131ca anlat\u0131lan kesitlerin atalet momentleri ile ilgili hesaplar m\u00fchendislik hayat\u0131nda gerek \u00e7elik yap\u0131lar gerekse betonarme yap\u0131larda s\u0131kl\u0131kla hesaplar\u0131n […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[1],"tags":[],"class_list":["post-466","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"featured_image_src":null,"author_info":{"display_name":"coskunfatih","author_link":"https:\/\/spectracons.com\/?author=1"},"_links":{"self":[{"href":"https:\/\/spectracons.com\/index.php?rest_route=\/wp\/v2\/posts\/466","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/spectracons.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/spectracons.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/spectracons.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/spectracons.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=466"}],"version-history":[{"count":3,"href":"https:\/\/spectracons.com\/index.php?rest_route=\/wp\/v2\/posts\/466\/revisions"}],"predecessor-version":[{"id":767,"href":"https:\/\/spectracons.com\/index.php?rest_route=\/wp\/v2\/posts\/466\/revisions\/767"}],"wp:attachment":[{"href":"https:\/\/spectracons.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=466"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/spectracons.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=466"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/spectracons.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=466"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}