{"id":2228,"date":"2026-08-31T07:46:16","date_gmt":"2026-08-31T07:46:16","guid":{"rendered":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/doseme-perde-birlesimlerinde-kontur-sonuclarinin-yorumlanmasi\/"},"modified":"2026-08-31T07:46:16","modified_gmt":"2026-08-31T07:46:16","slug":"doseme-perde-birlesimlerinde-kontur-sonuclarinin-yorumlanmasi","status":"publish","type":"wiki","link":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/doseme-perde-birlesimlerinde-kontur-sonuclarinin-yorumlanmasi\/","title":{"rendered":"D\u00f6\u015feme\u2013Perde Birle\u015fimlerinde Kontur Sonu\u00e7lar\u0131n\u0131n Yorumlanmas\u0131"},"content":{"rendered":"<div class=\"WordSection1\">\n<p>ProtaStructure Tasar\u0131m K\u0131lavuzu<\/p>\n<p style=\"font-size:16.0pt;line-height:110%;margin-bottom:0cm\">D\u00f6\u015feme\u2013Perde Birle\u015fimlerinde Kontur Sonu\u00e7lar\u0131n\u0131n Yorumlanmas\u0131<\/p>\n<p style=\"margin-bottom:6.0pt\"><i><span style=\"color: rgb(64, 64, 64); --darkreader-inline-color: var(--darkreader-text-404040, #c0bab2);\" data-darkreader-inline-color=\"\">Sonlu eleman kontur de\u011ferleri ile d\u00f6\u015feme \u015feridi sonu\u00e7lar\u0131 perde mesnetlerinde neden farkl\u0131la\u015f\u0131r<\/span><\/i><\/p>\n<table border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"437\" style=\"width:327.9pt;border-collapse:collapse\">\n<tbody>\n<tr>\n<td width=\"210\" style=\"width: 157.2pt; border-top: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\">\n<p style=\"margin-bottom:0cm\">Versiyon 1.0<\/p>\n<\/td>\n<td width=\"228\" style=\"width: 170.7pt; border-top: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\">\n<p align=\"right\" style=\"margin-bottom:0cm;text-align:right\">28 A\u011fustos 2026<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>Prota yaz\u0131l\u0131mlar\u0131na ait e\u011fitim ve destek istekleriniz i\u00e7in l\u00fctfen bizimle temasa ge\u00e7iniz\u2026<\/p>\n<p><a href=\"mailto:destek@protasoftware.com\"><span style=\"font-size:12.0pt\">destek@protasoftware.com<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.protasoftware.com\/tr\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size:12.0pt\">www.protasoftware.com\/tr<\/span><\/a><\/p>\n<table border=\"0\" cellspacing=\"0\" cellpadding=\"0\" width=\"605\" style=\"width:453.85pt;border-collapse:collapse\">\n<tbody>\n<tr>\n<td width=\"133\" valign=\"top\" style=\"width:99.5pt;padding:0cm 5.4pt\">\n<p align=\"right\" style=\"margin-bottom:8.0pt;text-align:right\"><b>Sorumluluklar\u0131n S\u0131n\u0131rland\u0131r\u0131lmas\u0131<\/b><\/p>\n<\/td>\n<td width=\"28\" valign=\"top\" style=\"width:21.25pt;padding:0cm 5.4pt\">&nbsp;<\/td>\n<td width=\"444\" valign=\"top\" style=\"width:333.1pt;padding:0cm 5.4pt\">\n<p style=\"margin-bottom:8.0pt\">Dok\u00fcmantasyon, yaz\u0131l\u0131m ve kullan\u0131m hatalar\u0131ndan kaynaklanan kay\u0131plardan dolay\u0131 Prota sorumlu tutulamaz.<\/p>\n<p style=\"margin-bottom:8.0pt\">Prota Lisans Anla\u015fmas\u0131 ko\u015fullar\u0131na ek olarak;<\/p>\n<ul>\n<li>Dok\u00fcmantasyonun ve yaz\u0131l\u0131m taraf\u0131ndan \u00fcretilen sonu\u00e7lar\u0131n kontrol edilmesi,<\/li>\n<li>Yaz\u0131l\u0131m\u0131 kullanan veya kullan\u0131m\u0131n\u0131 y\u00f6neten ki\u015filerin gerekli teknik vas\u0131flara sahip oldu\u011fundan emin olunmas\u0131,<\/li>\n<li>Yaz\u0131l\u0131m\u0131n, kullan\u0131m k\u0131lavuzlar\u0131 ve dok\u00fcmantasyona uygun \u015fekilde kullan\u0131ld\u0131\u011f\u0131ndan emin olunmas\u0131,<\/li>\n<\/ul>\n<p>kullan\u0131c\u0131n\u0131n sorumlulu\u011fundad\u0131r.<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"133\" valign=\"top\" style=\"width:99.5pt;padding:0cm 5.4pt\">\n<p align=\"right\" style=\"margin-bottom:8.0pt;text-align:right\"><b>Telif Haklar\u0131<\/b><\/p>\n<\/td>\n<td width=\"28\" valign=\"top\" style=\"width:21.25pt;padding:0cm 5.4pt\">&nbsp;<\/td>\n<td width=\"444\" valign=\"top\" style=\"width:333.1pt;padding:0cm 5.4pt\">\n<p>ProtaStructure, Prota Yaz\u0131l\u0131m A.\u015e.\u2019nin tescilli markas\u0131d\u0131r ve yaz\u0131l\u0131m\u0131n t\u00fcm haklar\u0131 PROTA Yaz\u0131l\u0131m A.\u015e. firmas\u0131na aittir. T\u00fcm program dok\u00fcmantasyonlar\u0131, e\u011fitim ve kullan\u0131m k\u0131lavuzlar\u0131 veya herhangi bir program bile\u015feni hi\u00e7bir nedenle kopyalanamaz ve lisans s\u00f6zle\u015fmesi kapsam\u0131 d\u0131\u015f\u0131nda kullan\u0131lamaz.<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"133\" valign=\"top\" style=\"width:99.5pt;padding:0cm 5.4pt\">\n<p align=\"right\" style=\"margin-bottom:8.0pt;text-align:right\"><b>Markalar<\/b><\/p>\n<\/td>\n<td width=\"28\" valign=\"top\" style=\"width:21.25pt;padding:0cm 5.4pt\">&nbsp;<\/td>\n<td width=\"444\" valign=\"top\" style=\"width:333.1pt;padding:0cm 5.4pt\">\n<p style=\"margin-bottom:8.0pt\"><b>ProtaStructure\u00ae, ProtaDetails\u00ae, ProtaSteel\u00ae<\/b> ve <b>ProtaBIM\u00ae<\/b>, Prota Yaz\u0131l\u0131m A.\u015e.\u2019nin tescilli markalar\u0131d\u0131r. Prota logosu Prota Yaz\u0131l\u0131m A.\u015e.\u2019nin tescilli markas\u0131d\u0131r.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p style=\"font-size:28.0pt;letter-spacing:-.5pt;margin-bottom:18.0pt\">\u0130\u00e7indekiler<\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900001\">\u00d6zet<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900002\">G\u00f6zlemlenen durum<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900003\">Kontur de\u011ferleri nas\u0131l \u00fcretilir<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900004\">D\u00f6\u015feme\u2013perde birle\u015fiminde ne olur<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900005\">Simetrik bir model neden asimetrik kontur g\u00f6sterebilir<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900006\">\u015eerit sonu\u00e7lar\u0131: tasar\u0131m i\u00e7in ama\u00e7lanan de\u011ferler<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900007\">Pratik \u00f6neriler<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900008\">S\u0131k\u00e7a sorulan sorular<\/a><\/p>\n<p style=\"margin-bottom:5.0pt\"><a href=\"#_Toc900009\">Te\u015fekk\u00fcr\u2026<\/a><\/p>\n<p>&nbsp;<\/p>\n<h1><a name=\"_Toc900001\">\u00d6zet<\/a><\/h1>\n<p><i><span style=\"font-size:10.0pt\">Perdelerin kabuk elemanlarla modellendi\u011fi Sonlu Eleman Kat (FE Floor) ve Sonlu Eleman Temel (FE Foundation) analizleri i\u00e7in ge\u00e7erlidir.<\/span><\/i><\/p>\n<p>Bir kat d\u00f6\u015femesi veya radye, kabuk elemanlarla modellenmi\u015f perdeler ya da bodrum perdeleri taraf\u0131ndan mesnetlendi\u011finde, Analiz Sonu\u00e7lar\u0131 g\u00f6r\u00fcn\u00fcm\u00fcnde s\u0131k\u00e7a iki g\u00f6zlem bildirilir:<\/p>\n<ul>\n<li>M1 veya M2 kontur grafi\u011finden okunan mesnet momentleri, ayn\u0131 konumdan ge\u00e7en bir d\u00f6\u015feme \u015feridinin veya kesitin verdi\u011fi mesnet momentlerinden b\u00fcy\u00fckl\u00fck olarak belirgin \u015fekilde daha k\u00fc\u00e7\u00fckt\u00fcr.<\/li>\n<li>Geometri, sonlu eleman a\u011f\u0131 ve y\u00fckleme tamamen simetrik olsa bile, kontur grafi\u011fi kar\u015f\u0131l\u0131kl\u0131 ve \u00f6zde\u015f \u015fekilde mesnetlenmi\u015f iki kenarda simetrik olmayabilir.<\/li>\n<\/ul>\n<p>Her iki g\u00f6zlemin de nedeni ayn\u0131d\u0131r. Kontur grafikleri, <b>her d\u00fc\u011f\u00fcm noktas\u0131na ba\u011fl\u0131 t\u00fcm kabuk elemanlar\u0131n<\/b> \u2014 d\u00f6\u015femenin mesnetli kenarlar\u0131 boyunca d\u00f6\u015femeyle birle\u015fen perde kabuklar\u0131 da dahil \u2014 ortalamas\u0131 al\u0131nm\u0131\u015f d\u00fc\u011f\u00fcm de\u011ferlerinden \u00e7izilir. D\u00f6\u015feme \u015feritleri ve kesitler ise yaln\u0131zca <b>d\u00f6\u015feme kabuklar\u0131n\u0131n<\/b> lokal sonu\u00e7lar\u0131ndan hesaplan\u0131r; perde kabuklar\u0131 bilin\u00e7li olarak hari\u00e7 tutulur. Perdelerden uzakta iki yakla\u015f\u0131m ayn\u0131 bilgiyi kullan\u0131r ve ayn\u0131 de\u011ferleri \u00fcretir. Tam d\u00f6\u015feme\u2013perde birle\u015fimlerinde ise iki farkl\u0131 soruya cevap verir ve bu nedenle farkl\u0131 say\u0131lar g\u00f6sterirler.<\/p>\n<p><b>\u0130ki de\u011fer de yanl\u0131\u015f de\u011fildir.<\/b> Kontur, sonlu eleman \u00e7\u00f6z\u00fcm\u00fcn\u00fcn yumu\u015fat\u0131lm\u0131\u015f bir g\u00f6rselle\u015ftirmesidir; \u015ferit sonucu ise d\u00f6\u015femenin kendisinin e\u011filme momentidir. Mesnetli kenarlarda donat\u0131 tasar\u0131m\u0131 i\u00e7in \u015ferit ve tasar\u0131m sonu\u00e7lar\u0131n\u0131 kullan\u0131n \u2014 bunlar tam da bu ama\u00e7 i\u00e7in vard\u0131r.<\/p>\n<h1><a name=\"_Toc900002\">G\u00f6zlemlenen durum<\/a><\/h1>\n<p>D\u00f6rt kenar\u0131 boyunca kabuk olarak modellenmi\u015f bodrum perdeleriyle mesnetlenmi\u015f, D + 1.6L kombinasyonu i\u00e7in analiz edilmi\u015f ve plak e\u011filme momentleri kg\u00b7m\/m cinsinden g\u00f6r\u00fcnt\u00fclenen kare bir d\u00f6\u015feme ele alal\u0131m. \u015eekil 1, M1 konturunu planda g\u00f6stermektedir. Mesnetlerde, 1 do\u011frultusuna dik iki kenar birbiriyle \u00f6rt\u00fc\u015fmez: bir kenardaki bant yakla\u015f\u0131k \u2212852&#8217;ye ula\u015f\u0131rken kar\u015f\u0131 kenardaki bant yaln\u0131zca \u2212628&#8217;e ula\u015f\u0131r \u2014 tamamen simetrik bir model i\u00e7in asimetrik bir tablo.<\/p>\n<p align=\"center\" style=\"margin-top:6.0pt;margin-bottom:2.0pt;text-align:center\"><img decoding=\"async\" style=\"width: 434px;\" src=\"https:\/\/protastructure-support-assets.s3.eu-central-1.amazonaws.com\/8870bb8e125c4582b37860cd77615c12\/2db5b9f4bda1471a8e6fb30d6820155b_image002.jpg\"><\/p>\n<p align=\"center\" style=\"text-align:center;font-size:9.0pt;font-style:italic;margin-top:4.0pt;margin-bottom:12.0pt\">\u015eekil 1 \u2014 Kabuk perdelerle mesnetlenmi\u015f simetrik bir d\u00f6\u015femenin M1 konturu. Kar\u015f\u0131l\u0131kl\u0131 iki kenardaki mesnet bantlar\u0131 farkl\u0131d\u0131r.<\/p>\n<p>\u015eekil 2, ayn\u0131 d\u00f6\u015femenin ortas\u0131ndan ge\u00e7en bir kesiti g\u00f6stermektedir. Kesit boyunca moment diyagram\u0131 her iki mesnette de \u22121480.93 kg\u00b7m\/m verir \u2014 tamamen simetrik ve kenarlardaki kontur renklerinin i\u015faret etti\u011fi b\u00fcy\u00fckl\u00fc\u011f\u00fcn kabaca iki kat\u0131. A\u00e7\u0131kl\u0131k boyunca diyagram konturla uyumludur.<\/p>\n<p align=\"center\" style=\"margin-top:6.0pt;margin-bottom:2.0pt;text-align:center\"><img decoding=\"async\" style=\"width: 415px;\" src=\"https:\/\/protastructure-support-assets.s3.eu-central-1.amazonaws.com\/8870bb8e125c4582b37860cd77615c12\/f75b104111cc4e439949ad84f27e78fc_image003.jpg\"><\/p>\n<p align=\"center\" style=\"text-align:center;font-size:9.0pt;font-style:italic;margin-top:4.0pt;margin-bottom:12.0pt\">\u015eekil 2 \u2014 Ayn\u0131 model, orta eksen boyunca kesilmi\u015f: \u015ferit her iki mesnette de simetrik olarak \u22121480.93 kg\u00b7m\/m vermektedir.<\/p>\n<h1><a name=\"_Toc900003\">Kontur de\u011ferleri nas\u0131l \u00fcretilir<\/a><\/h1>\n<p>Kabuk konturunda g\u00f6sterilen her de\u011fer \u015fu zincirden ge\u00e7er:<\/p>\n<ol>\n<li>\u00c7\u00f6z\u00fcc\u00fc, her kabuk eleman\u0131n i\u00e7indeki integrasyon noktalar\u0131nda sonu\u00e7lar\u0131 hesaplar.<\/li>\n<li>Bu sonu\u00e7lar eleman\u0131n k\u00f6\u015felerine (d\u00fc\u011f\u00fcmlerine) ekstrapole edilir. B\u00f6ylece her eleman kendi k\u00f6\u015fe de\u011ferleri setini ta\u015f\u0131r.<\/li>\n<li>Birden fazla eleman\u0131n bir d\u00fc\u011f\u00fcm noktas\u0131n\u0131 payla\u015ft\u0131\u011f\u0131 yerlerde her eleman orada biraz farkl\u0131 bir de\u011fer bildirir. G\u00f6r\u00fcnt\u00fcleme i\u00e7in, d\u00fc\u011f\u00fcme ba\u011fl\u0131 t\u00fcm kabuk elemanlar\u0131n de\u011ferleri d\u00fc\u011f\u00fcm ve y\u00fckleme ba\u015f\u0131na tek bir say\u0131ya ortalan\u0131r ve d\u00fc\u011f\u00fcm sonu\u00e7lar\u0131 veritaban\u0131nda saklan\u0131r.<\/li>\n<li>Kontur, bu ortalanm\u0131\u015f d\u00fc\u011f\u00fcm de\u011ferlerinin eleman y\u00fczeyleri boyunca enterpolasyonuyla \u00e7izilir.<\/li>\n<\/ol>\n<p>D\u00fc\u011f\u00fcmsel ortalama, sonlu eleman sonu\u00e7 i\u015flemede standart bir uygulamad\u0131r ve bunun iyi bir nedeni vard\u0131r: kom\u015fu elemanlar ayr\u0131kla\u015ft\u0131rma nedeniyle ka\u00e7\u0131n\u0131lmaz olarak biraz farkl\u0131 k\u00f6\u015fe de\u011ferleri bildirir; ortalamas\u0131 al\u0131nmam\u0131\u015f bir grafik par\u00e7al\u0131 g\u00f6r\u00fcn\u00fcr ve ortalama genellikle tek tek eleman de\u011ferlerinden kesin \u00e7\u00f6z\u00fcme daha yak\u0131nd\u0131r. D\u00f6\u015femenin i\u00e7 b\u00f6lgesinde bu tam olarak istenen \u015feydir \u2014 bir d\u00fc\u011f\u00fcmde birle\u015fen t\u00fcm elemanlar ayn\u0131 d\u00fczlemde yer al\u0131r ve ayn\u0131 ta\u015f\u0131y\u0131c\u0131 elemana aittir; dolay\u0131s\u0131yla ortalama benzeri benzerle kar\u0131\u015ft\u0131r\u0131r.<\/p>\n<h1><a name=\"_Toc900004\">D\u00f6\u015feme\u2013perde birle\u015fiminde ne olur<\/a><\/h1>\n<p>Mesnetli bir kenarda durum de\u011fi\u015fir: birle\u015fim d\u00fc\u011f\u00fcm\u00fc ayn\u0131 anda iki ta\u015f\u0131y\u0131c\u0131 elemana aittir. D\u00fc\u011f\u00fcme ba\u011fl\u0131 d\u00f6\u015feme kabuklar\u0131 d\u00f6\u015femenin mesnet (negatif) momentini bildirir \u2014 \u00f6rnekte yakla\u015f\u0131k \u22121480.93 kg\u00b7m\/m. Ayn\u0131 d\u00fc\u011f\u00fcme ba\u011fl\u0131 perde kabuklar\u0131 ise perdenin plak momentlerini bildirir; bunlar perdenin d\u00fczleminde ve perdenin kendi lokal eksenlerinde tan\u0131ml\u0131 b\u00fcy\u00fckl\u00fcklerdir. Kontur, d\u00fc\u011f\u00fcm ba\u015f\u0131na tek bir say\u0131 g\u00f6stermek zorunda oldu\u011fundan t\u00fcm bu katk\u0131lar\u0131n ortalamas\u0131n\u0131 al\u0131r. Bundan iki sonu\u00e7 do\u011far:<\/p>\n<ul>\n<li>D\u00f6\u015feme mesnet momentinin b\u00fcy\u00fckl\u00fc\u011f\u00fc perde terimleriyle seyreltilir; kontur, d\u00f6\u015femenin ger\u00e7ekte ta\u015f\u0131d\u0131\u011f\u0131ndan daha k\u00fc\u00e7\u00fck bir say\u0131 g\u00f6sterir.<\/li>\n<li>G\u00f6sterilen de\u011fer art\u0131k tek bir ta\u015f\u0131y\u0131c\u0131 eleman\u0131n i\u00e7 kuvvetine kar\u015f\u0131l\u0131k gelmez \u2014 d\u00f6\u015feme e\u011filmesi ile perde e\u011filmesinin bir kar\u0131\u015f\u0131m\u0131d\u0131r.<\/li>\n<\/ul>\n<p>Bunun tamamen bir sonu\u00e7 i\u015fleme (post-processing) etkisi oldu\u011funu vurgulamak gerekir. Perdelerin rijitli\u011fi, d\u00f6\u015feme ile perde aras\u0131ndaki \u00e7er\u00e7eve etkisi ve bunun sonucundaki kuvvet da\u011f\u0131l\u0131m\u0131 analizde eksiksiz olarak hesaba kat\u0131l\u0131r. Yaln\u0131zca ekrandaki ortalanm\u0131\u015f de\u011fer iki eleman\u0131 birbirine kar\u0131\u015ft\u0131r\u0131r.<\/p>\n<h1><a name=\"_Toc900005\">Simetrik bir model neden asimetrik kontur g\u00f6sterebilir<\/a><\/h1>\n<p>Ayn\u0131 ortalama i\u015flemi simetri kayb\u0131n\u0131 da a\u00e7\u0131klar. Bir perdenin lokal eksenleri sabit bir geometrik kurala g\u00f6re atan\u0131r; bu nedenle kar\u015f\u0131l\u0131kl\u0131 iki perdenin lokal eksenleri genellikle birbirinin aynas\u0131 olmak yerine ayn\u0131 y\u00f6n\u00fc g\u00f6sterir. Sonu\u00e7 olarak, d\u00fc\u011f\u00fcm ortalamas\u0131na kat\u0131lan perde momentleri iki kenarda farkl\u0131 i\u015faretlerle girer: bir kenar\u0131n ortalamas\u0131 daha da negatife itilirken di\u011ferininki s\u0131f\u0131ra do\u011fru \u00e7ekilir. Eleman seviyesindeki sonu\u00e7lar ise tamamen simetrik kal\u0131r.<\/p>\n<p>\u00d6rnek say\u0131lar basit bir g\u00f6sterimle yeniden elde edilebilir. Birle\u015fim d\u00fc\u011f\u00fcm\u00fcne iki d\u00f6\u015feme kabu\u011fu ile iki perde kabu\u011funun ba\u011fland\u0131\u011f\u0131n\u0131 ve d\u00f6\u015feme kabuklar\u0131n\u0131n \u00fczerinde uzla\u015ft\u0131\u011f\u0131 k\u00f6\u015fe momentinin \u22121480.93 kg\u00b7m\/m oldu\u011funu varsayal\u0131m:<\/p>\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse\">\n<tbody>\n<tr>\n<td width=\"249\" valign=\"top\" style=\"width: 187.1pt; border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p style=\"margin-bottom:0cm;font-size:9.5pt\"><b>Birle\u015fim d\u00fc\u011f\u00fcm\u00fcnde (kg\u00b7m\/m)<\/b><\/p>\n<\/td>\n<td width=\"178\" valign=\"top\" style=\"width: 133.25pt; border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\"><b>Sol mesnet<\/b><\/p>\n<\/td>\n<td width=\"178\" valign=\"top\" style=\"width: 133.25pt; border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\"><b>Sa\u011f mesnet<\/b><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p style=\"margin-bottom:0cm;font-size:9.5pt\">Ba\u011fl\u0131 d\u00f6\u015feme kabuklar\u0131n\u0131n k\u00f6\u015fe momenti M1<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u22121480.93<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u22121480.93<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p style=\"margin-bottom:0cm;font-size:9.5pt\">Ba\u011fl\u0131 perde kabuklar\u0131n\u0131n katk\u0131s\u0131<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u2212223.83<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">+223.83<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p style=\"margin-bottom:0cm;font-size:9.5pt\">Kontur de\u011feri \u2014 d\u00f6rt kabu\u011fun ortalamas\u0131<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u2248 \u2212852.38<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u2248 \u2212628.55<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p style=\"margin-bottom:0cm;font-size:9.5pt\">\u015eerit de\u011feri \u2014 yaln\u0131zca d\u00f6\u015feme kabuklar\u0131<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u22121480.93<\/p>\n<\/td>\n<td valign=\"top\" style=\"border: 1pt solid rgb(0, 0, 0); padding: 0cm 5.4pt; --darkreader-inline-border-top: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-right: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-bottom: var(--darkreader-border-000000, #8c8273); --darkreader-inline-border-left: var(--darkreader-border-000000, #8c8273);\" data-darkreader-inline-border-top=\"\" data-darkreader-inline-border-right=\"\" data-darkreader-inline-border-bottom=\"\" data-darkreader-inline-border-left=\"\">\n<p align=\"center\" style=\"margin-bottom:0cm;text-align:center;font-size:9.5pt\">\u22121480.93<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<h1><a name=\"_Toc900006\">\u015eerit sonu\u00e7lar\u0131: tasar\u0131m i\u00e7in ama\u00e7lanan de\u011ferler<\/a><\/h1>\n<p>Bir hesap aks\u0131 kesti\u011finizde \u2014 ya da ProtaStructure ayn\u0131 mekanizmay\u0131 kullanan d\u00f6\u015feme veya radye tasar\u0131m\u0131n\u0131 \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131nda \u2014 ortalama yap\u0131lm\u0131\u015f d\u00fc\u011f\u00fcm veritaban\u0131 hi\u00e7 okunmaz. Bunun yerine program:<\/p>\n<ul>\n<li>Kesit d\u00fczleminde yaln\u0131zca d\u00f6\u015feme t\u00fcr\u00fc elemanlara (d\u00f6\u015femeler, merdivenler, radyeler ve temel plaklar\u0131) ait kabuk elemanlar\u0131 toplar;<\/li>\n<li>Her eleman\u0131n kendi k\u00f6\u015fe sonu\u00e7lar\u0131n\u0131 d\u00f6\u015femenin lokal do\u011frultular\u0131nda al\u0131r;<\/li>\n<li>Bunlar\u0131 d\u00fc\u011f\u00fcm d\u00fc\u011f\u00fcm, yaln\u0131zca d\u00f6\u015feme kabuklar\u0131 aras\u0131nda yeniden ortalar. Perde ve kolon kabuklar\u0131 bu ortalamaya asla girmez.<\/li>\n<\/ul>\n<p>Sonu\u00e7, mesnette d\u00f6\u015femenin kendisinin ta\u015f\u0131d\u0131\u011f\u0131 e\u011filme momentidir \u2014 d\u00f6\u015feme donat\u0131s\u0131n\u0131 tasarlamak i\u00e7in gereken b\u00fcy\u00fckl\u00fck. Yap\u0131 simetrik oldu\u011funda sonu\u00e7 da simetriktir ve birle\u015fim d\u00fc\u011f\u00fcmleri d\u0131\u015f\u0131nda her yerde konturla \u00f6rt\u00fc\u015f\u00fcr; \u00e7\u00fcnk\u00fc d\u00f6\u015femenin i\u00e7 b\u00f6lgesinde her iki hesap da ayn\u0131 eleman k\u00fcmesinin ortalamas\u0131n\u0131 al\u0131r.<\/p>\n<p>D\u00f6\u015feme \u015feridi sonu\u00e7lar\u0131 ile ProtaStructure&#8217;\u0131n raporlad\u0131\u011f\u0131 d\u00f6\u015feme tasar\u0131m momentleri birbiriyle tutarl\u0131d\u0131r ve her ikisi de donat\u0131 tasar\u0131m\u0131 i\u00e7in do\u011fru dayanakt\u0131r. Birle\u015fim d\u00fc\u011f\u00fcm\u00fcndeki kontur de\u011feri bir g\u00f6rselle\u015ftirme de\u011feridir, tasar\u0131m de\u011feri de\u011fildir.<\/p>\n<h1><a name=\"_Toc900007\">Pratik \u00f6neriler<\/a><\/h1>\n<ul>\n<li>D\u00f6\u015feme mesnet tasar\u0131m momentlerini d\u00f6\u015feme \u015feritlerinden, kesitlerden veya d\u00f6\u015feme tasar\u0131m sonu\u00e7lar\u0131ndan okuyun \u2014 d\u00f6\u015feme\u2013perde birle\u015fim d\u00fc\u011f\u00fcmlerindeki kontur renklerinden de\u011fil.<\/li>\n<li>Konturlar\u0131 iyi olduklar\u0131 i\u015fler i\u00e7in kullan\u0131n: genel moment da\u011f\u0131l\u0131m\u0131, a\u00e7\u0131kl\u0131k de\u011ferleri, gradyanlar ve sonlu eleman a\u011f\u0131 sa\u011flaml\u0131k kontrolleri.<\/li>\n<li>Birle\u015fim d\u00fc\u011f\u00fcmlerindeki kontur de\u011ferlerinin \u015ferit mesnet momentlerinden b\u00fcy\u00fckl\u00fck olarak daha k\u00fc\u00e7\u00fck olmas\u0131n\u0131 ve simetrik mesnetlerde olas\u0131 asimetriyi bekleyin. \u0130kisi de analiz hatas\u0131 anlam\u0131na gelmez.<\/li>\n<li>Gerekli donat\u0131 alan\u0131 konturlar\u0131 (As, Asd) ayn\u0131 ortalanm\u0131\u015f d\u00fc\u011f\u00fcm momentlerinden hesaplan\u0131r; dolay\u0131s\u0131yla birle\u015fim d\u00fc\u011f\u00fcmlerinde onlar i\u00e7in de ayn\u0131 dikkat ge\u00e7erlidir.<\/li>\n<li>Mesnetli kenarlardan uzakta kontur ve \u015ferit de\u011ferleri \u00f6rt\u00fc\u015f\u00fcr. D\u00f6\u015femenin i\u00e7 b\u00f6lgesindeki \u00f6nemli bir uyu\u015fmazl\u0131k ise incelemeye de\u011ferdir (a\u011f s\u0131kl\u0131\u011f\u0131, y\u00fck uygulamas\u0131) \u2014 bu, burada anlat\u0131lan birle\u015fim etkisi de\u011fildir.<\/li>\n<\/ul>\n<h1><a name=\"_Toc900008\">S\u0131k\u00e7a sorulan sorular<\/a><\/h1>\n<p><b>Kontur simetrik de\u011filse modelim veya analiz hatal\u0131 m\u0131?<\/b><\/p>\n<p>Hay\u0131r. Eleman seviyesindeki sonu\u00e7lar simetriktir ve denge sa\u011flan\u0131r. Yaln\u0131zca birle\u015fim d\u00fc\u011f\u00fcmlerindeki ortalanm\u0131\u015f g\u00f6r\u00fcnt\u00fcleme de\u011ferleri, \u201cSimetrik bir model neden asimetrik kontur g\u00f6sterebilir\u201d ba\u015fl\u0131\u011f\u0131nda a\u00e7\u0131klanan nedenlerle farkl\u0131la\u015f\u0131r. Bunu bir \u015ferit keserek do\u011frulayabilirsiniz: \u015ferit simetrik mesnet momentleri verecektir.<\/p>\n<p><b>Mesnet donat\u0131s\u0131 i\u00e7in hangi de\u011feri kullanmal\u0131y\u0131m?<\/b><\/p>\n<p>\u015eerit veya tasar\u0131m de\u011ferini; burulma momentlerinin \u00f6nemli oldu\u011fu durumlarda ise bunun Wood\u2013Armer tasar\u0131m momenti t\u00fcrevini. Bu, ProtaStructure&#8217;\u0131n d\u00f6\u015femeyi tasarlarken dahili olarak kulland\u0131\u011f\u0131 de\u011ferdir.<\/p>\n<p><b>Kontur ve \u015ferit a\u00e7\u0131kl\u0131k ortas\u0131nda neden \u00f6rt\u00fc\u015f\u00fcr?<\/b><\/p>\n<p>\u0130\u00e7 d\u00fc\u011f\u00fcmlere yaln\u0131zca d\u00f6\u015feme kabuklar\u0131 ba\u011fl\u0131 oldu\u011fundan, her iki hesap da ayn\u0131 eleman k\u00fcmesinin ortalamas\u0131n\u0131 al\u0131r ve ayn\u0131 say\u0131y\u0131 \u00fcretir.<\/p>\n<p><b>Daha s\u0131k bir sonlu eleman a\u011f\u0131 fark\u0131 ortadan kald\u0131r\u0131r m\u0131?<\/b><\/p>\n<p>Hay\u0131r. A\u011f\u0131n s\u0131kla\u015ft\u0131r\u0131lmas\u0131 konturun etkilenen band\u0131n\u0131 daralt\u0131r; ancak birle\u015fim d\u00fc\u011f\u00fcm\u00fcn\u00fcn kendisinde iki ortalama, yap\u0131lar\u0131 gere\u011fi farkl\u0131 eleman k\u00fcmeleri \u00fczerinden al\u0131n\u0131r ve fark s\u00fcrer. \u0130ki yakla\u015f\u0131m yaln\u0131zca d\u00f6\u015femenin i\u00e7 b\u00f6lgesinde birbirine yak\u0131nsar.<\/p>\n<p><b>Ayn\u0131 durum kesme ve membran kuvvetleri i\u00e7in de ge\u00e7erli mi?<\/b><\/p>\n<p>Evet. D\u00fc\u011f\u00fcmsel olarak ortalanan her etki (d\u00fczlem d\u0131\u015f\u0131 kesmeler V13\/V23, membran kuvvetleri F11\/F22\/F12) birle\u015fim d\u00fc\u011f\u00fcmlerinde perde katk\u0131lar\u0131n\u0131 ayn\u0131 \u015fekilde kar\u0131\u015ft\u0131r\u0131r. Tasar\u0131m de\u011feri gereken her yerde \u015feritleri veya eleman sonu\u00e7lar\u0131n\u0131 kullan\u0131n.<\/p>\n<p><\/p>\n<h1><a name=\"_Toc900009\">Te\u015fekk\u00fcr\u2026<\/a><\/h1>\n<p>ProtaStructure Suite \u00fcr\u00fcn ailesini tercih etti\u011finiz i\u00e7in te\u015fekk\u00fcr ederiz.<\/p>\n<p>\u00dcr\u00fcnlerimizle olan tecr\u00fcbenizi kusursuz hale getirmek birinci \u00f6nceli\u011fimizdir. Bu nedenle teknik soru, \u00f6neri, yorum ve ele\u015ftirilerinizi <a href=\"mailto:destek@protasoftware.com\">destek@protasoftware.com<\/a> adresine g\u00f6nderebilirsiniz.<\/p>\n<p>Alanlar\u0131nda uzman tecr\u00fcbeli destek m\u00fchendislerimiz, sorular\u0131n\u0131z\u0131 yan\u0131tlamaktan ve \u00fcr\u00fcnlerimizin \u00f6zelliklerini detayl\u0131 olarak sizlere anlatmaktan mutluluk duyacakt\u0131r.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>ProtaStructure Tasar\u0131m K\u0131lavuzu D\u00f6\u015feme\u2013Perde Birle\u015fimlerinde Kontur Sonu\u00e7lar\u0131n\u0131n Yorumlanmas\u0131 Sonlu eleman kontur de\u011ferleri ile d\u00f6\u015feme \u015feridi sonu\u00e7lar\u0131 perde mesnetlerinde neden farkl\u0131la\u015f\u0131r Versiyon 1.0 28 A\u011fustos 2026&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"template":"","meta":{"_whitepaper_youtube_videos":"","_whitepaper_youtube_url":"","_whitepaper_youtube_thumbnail":"","footnotes":""},"categories":[63],"whitepaper_topic":[],"whitepaper_product":[],"whitepaper_type":[],"class_list":["post-2228","wiki","type-wiki","status-publish","hentry","category-protastructure-design-guides"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.9 (Yoast SEO v27.9) - 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