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16 of Hogwarts Legacy on PC! Want to help me grow? 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indirme linki: https://drive.google.com/file/d/1Hqp-... Hızlı Tekrar edilen Konular 1-) Düzlem Kafes Sistemler, 2-) Çerçeveler ve Basit Makinalar , 3-) Ağırlık Merkezi ve Atalet Momenti...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3118118/8a019e59f7639f8ba508859c83ca57ba/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/dRS3JgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=videoid:8249871379079669495","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan mekanik mühendislik dersinin bir bölümüdür. Eğitmen, statik ve mekanik sistemler konularını detaylı şekilde anlatmaktadır.","Video, düzlem kafes sistemleri ile başlayıp, çubuk kuvvetlerinin hesaplanma yöntemlerini, düğüm yöntemi ve kesim yöntemi gibi çözüm tekniklerini açıklamaktadır. Ardından çerçeve sistemleri, çift kuvvet elemanları, serbest cisim diyagramları ve denge denklemleri ele alınmaktadır. Son bölümde ise ağırlık merkezi, atalet momenti ve paralel eksen teoremi konuları formüller ve örneklerle anlatılmaktadır.","Videoda ayrıca homojen ve izotropik cisimlerin ağırlık merkezi, kompozit alanların ağırlık merkezini bulma yöntemleri, çeyrek daire, yarım daire, üçgen ve dikdörtgen gibi temel alanların ağırlık merkezleri ve atalet momentleri formülleri gösterilmektedir. Eğitmen, sınavlarda sık yapılan hataları da ele alarak konuları pekiştirmektedir."]},"endTime":2880,"title":"Mekanik Mühendislik Dersi: Kafes ve Çerçeve Sistemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Kafes Sistemler","list":{"type":"unordered","items":["Statik dersinde düzlem kafes sistemler, çerçeveler ve basit makineler, ağırlık merkezi ve atalet momenti hesapları konuları tekrar edilecek.","Kafes sistemler, çubuk elemanların uçlarından bağlanması sonucu oluşan taşıyıcı sistemlerdir ve tüm çubuklar bir düzlem üzerinde yer alıyorsa düzlem kafes sistem olarak adlandırılır.","Kafes sistemlerinin başlıca özellikleri: çubuklar uçlarından bağlıdır, dış kuvvetler sadece bağlantı düğüm noktalarından etki eder, bağlantı noktalarında tekil kuvvetler oluşur, bağlantılardaki moment tepkileri ve çubuk ağırlıkları ihmal edilir, tüm çubuklar çip kuvvet 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çubuklarla doksan derece açı yapar ve o düğüme çubuk yönünde dış kuvvet gelmez.","Örnekte B düğümünde HB çubuğunun kuvvet taşımadığı ve boş çubuk olduğu gösterilmiştir."]},"beginTime":765,"endTime":808,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=765&ask_summarization=1"},{"index":5,"title":"Çerçeveler ve Basit Makinalar","list":{"type":"unordered","items":["Çerçeveler veya basit makinalar, çeşitli katı parçaların birbirlerine bağlanması ile oluşan sistemlerdir.","Çerçeve sistemlerde elemanlar birbirlerine ikiden fazla noktadan bağlanabilir ve dış kuvvetler sadece bağlantı noktalarından değil farklı noktalardan da elemanlara etki edebilir.","Çerçeve sistemlerde L veya eğrisel tarz çubuklar da yer alabilir, basit makine ise kepçe, pens ve benzeri fonksiyonel sistemlerdir."]},"beginTime":808,"endTime":894,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=808&ask_summarization=1"},{"index":6,"title":"Çerçeve Sistemlerinde Kuvvet Analizi","list":{"type":"unordered","items":["Çerçeve sistemlerinde her bir elemanın bağlantı noktalarında oluşan kuvvetlerin hesaplanması amaçlanır.","Çerçeve sistemlerinde kuvvet analizinde başlangıçta çift kuvvet elemanlarının tespit edilmesi adımı eklenir.","Çift kuvvet elemanları, sadece ve sadece iki noktasından tekil kuvvete maruz kalan elemanlardır ve bağlantı sayısı artı bağlantı harici kuvvet sayısı iki olmalıdır."]},"beginTime":894,"endTime":992,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=894&ask_summarization=1"},{"index":7,"title":"Çift Kuvvet Elemanlarının Özellikleri","list":{"type":"unordered","items":["Çift kuvvet elemanlarının ağırlıkları ve bağlantılardaki muhtemel tepki momentleri ihmal edilir.","Kafes sistemlerdeki tüm çubuklar çift kuvvet elemanıdır.","Çift kuvvet elemanının tek denge şartı, etki eden kuvvetlerin etkime noktalarını birleştiren doğrultu üzerinde eşit şiddette ve zıt yönde olmasıdır."]},"beginTime":992,"endTime":1087,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=992&ask_summarization=1"},{"index":8,"title":"Çerçeve Sistemlerinde Serbest Cisim Diyagramı","list":{"type":"unordered","items":["Çerçeve sistemlerinde tüm sistemin serbest cisim diyagramı çizilirken, izolasyon yapılarak bazı bağlantılar birbirinden ayrılır.","Serbest cisim diyagramından hy, hx ve kablo kuvveti bulunabilir, ancak çubuklardaki kuvvetler izolasyona dahil değildir.","Her bir elemanın serbest cisim diyagramı çizilirken, pimlerin dönmeye izin veren, öteye izin vermeyen veya moment tepkisi ihmal edilen bağlantılar olduğu düşünülür."]},"beginTime":1097,"endTime":1178,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1097&ask_summarization=1"},{"index":9,"title":"Çift Kuvvet Elemanları","list":{"type":"unordered","items":["Çift kuvvet elemanı, iki bağlantısı olan ve etki eden tekil kuvvetlerin etkime noktaları olan iki elemanı birleştiren doğrultu üzerinde eşit şiddette ve zıt yönde olması gereken elemandır.","Çift kuvvet elemanının serbest cisim diyagramında etki eden kuvvetler, etkime noktalarını birleştiren doğrultu üzerinde eşit şiddette ve zıt yönde olmalıdır.","Çift kuvvet elemanlarının serbest cisim diyagramları, kuvveti bulurken işe yaramaz, sadece diğer elemanların serbest cisim diyagramlarını çizerken bilinmeyen sayısını azaltır."]},"beginTime":1178,"endTime":1435,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1178&ask_summarization=1"},{"index":10,"title":"Çift Kuvvet Elemanlarının Kullanımı","list":{"type":"unordered","items":["Çift kuvvet elemanının serbest cisim diyagramında, sadece bir bilinmeyene indirgeme yapılabilir, örneğin B noktasındaki bilinmeyen sayısını dörtten bir bilinmeyene indirir.","Kepçe sistemlerinde tüm çubuk elemanları çift kuvvet elemanı olabilir ve serbest cisim diyagramları ayrı olarak çizilebilir.","Çift kuvvet elemanının denge denklemlerini yazmanın faydası olmasa da, elemanlarındaki kuvvetin yönünü önceden görebildiğimiz için bilinmeyen sayısını azaltabiliriz."]},"beginTime":1435,"endTime":1608,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1435&ask_summarization=1"},{"index":11,"title":"Ağırlık Merkezleri","list":{"type":"unordered","items":["Alanın ağırlık merkezini bulmak için integrasyon denklemleri kullanılır, paydada x çizgi (şerit elemanın ağırlık merkezi) ve alanı, alt paydada toplam alan bulunur.","Paraboldeki ağırlık merkezinin koordinatları x- çizgi ve y- çizgi ile gösterilir ve bu formüllerle bulunabilir."]},"beginTime":1608,"endTime":1681,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1608&ask_summarization=1"},{"index":12,"title":"Kompozit Alanların Ağırlık Merkezi","list":{"type":"unordered","items":["Homojen izotropik cisimlerde ağırlık merkezi geometrik merkezle çakışır.","Düzgün geometrilerin eklenmesi ve çıkarılmasıyla oluşturulan alanlara kompozit alanlar denir.","Kompozit alanların ağırlık merkezini bulmak için her parçanın ağırlık merkezi, alanı ve koordinatları hesaplanır, sonra toplanır veya çıkarılır."]},"beginTime":1686,"endTime":1761,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1686&ask_summarization=1"},{"index":13,"title":"Temel Alanların Ağırlık Merkezi","list":{"type":"unordered","items":["Çeyrek dairenin ve yarım dairenin ağırlık merkezi daire merkezinden yatayda ve düşeyde 4/3 birim uzaklıktadır.","Üçgenin ağırlık merkezi kenarortayların kesim noktasıdır ve 1:2 oranında dağılır.","Dikdörtgenin ağırlık merkezi tam ortadadır."]},"beginTime":1761,"endTime":1845,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1761&ask_summarization=1"},{"index":14,"title":"Kompozit Alan Örneği","list":{"type":"unordered","items":["X eksenine göre simetrik bir kompozit alanın ağırlık merkezinin y koordinatı sıfırdır.","Daireden bir üçgenin çıkarılmasıyla elde edilen alanın x koordinatı, üçgenin ağırlık merkezinin x koordinatıdır.","Alan çıkarılıyorsa formülde eksi işareti kullanılır, çıkarılmıyorsa pozitif kalır."]},"beginTime":1845,"endTime":2071,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=1845&ask_summarization=1"},{"index":15,"title":"Tablo Yöntemi ve Ağırlık Merkezi Hesaplama","list":{"type":"unordered","items":["Kompozit alanların ağırlık merkezini bulmak için tablo yöntemi kullanılabilir.","Tabloda alan, x koordinatı, y koordinatı ve çarpımları alt alta toplanır.","Çeyrek dairenin ağırlık merkezinin 4/3 birim uzaklığı daima daire merkezinden itibaren alınmalıdır."]},"beginTime":2071,"endTime":2161,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=2071&ask_summarization=1"},{"index":16,"title":"Atalet Momentleri","list":{"type":"unordered","items":["Alanın x eksenine göre momenti integral A y, y eksenine göre momenti integral A x y şeklinde bulunur.","Eksen takımı değişirse atalet momenti de değişir, x ve y sıfırdan büyük, x ve y eksenlerinden en az birisine göre simetrik kesitlerde n sıfırdır.","Paralel eksen teoremine göre, ağırlık merkezinden geçen bir eksene göre atalet momenti belli iken, bu eksene paralel başka bir eksene göre momenti bulunabilir."]},"beginTime":2161,"endTime":2353,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=2161&ask_summarization=1"},{"index":17,"title":"Temel Alanların Atalet Momentleri","list":{"type":"unordered","items":["Tam dairenin atalet momenti πr⁴/4 veya πd⁴/64, yarım dairenin πr⁴/8, çeyrek dairenin πr⁴/16'dır.","Dikdörtgenin atalet momenti bh³/12'dir, x eksenine paralel kenarın uzunluğunda b, y eksenine paralelkenar h'dir.","Üçgenin atalet momenti 1/30bh²'dir."]},"beginTime":2353,"endTime":2415,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=2353&ask_summarization=1"},{"index":18,"title":"Paralel Eksen Teoremi ve Uygulamaları","list":{"type":"unordered","items":["Paralel eksen teoremi, daire, kare veya dikdörtgen için uygulandığında, alan hesaplamalarında b×h formülü elde edilir.","Daire için çeyrek ve yarım daire için paralel eksen teoremi, x ile x arasında uygulanamaz.","Paralel eksen teoremi uygulanırken, mutlaka ağırlık merkezinden geçen eksenine göre atılması gerekir."]},"beginTime":2430,"endTime":2553,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=2430&ask_summarization=1"},{"index":19,"title":"Paralel Eksen Teoremi Uygulaması","list":{"type":"unordered","items":["Xg değerini bulmak için önce paralel eksen teoremi x ile x2 arasında uygulanır.","Xg değeri bulunduktan sonra, x ile xg arasında paralel eksen teoremi uygulanabilir.","Bu nokta sınavlarda hatalar yapılabildiği için unutulmamalıdır."]},"beginTime":2553,"endTime":2631,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=2553&ask_summarization=1"},{"index":20,"title":"Kompozit Alanlarda Atalet Momenti Hesaplama","list":{"type":"unordered","items":["Kompozit alanlarda (örneğin iki dikdörtgenden bir çeyrek daire çıkarılmış) ağırlık merkezinden geçen yatay eksene göre atalet momenti hesaplanırken önce ağırlık merkezinin koordinatları tablo yöntemiyle bulunur.","Her bir terimin istenen eksenine göre momenti hesaplanır ve sonra toplanır.","Çıkarılacak olan şekil için atalet momenti eksi işareti konularak çıkarılır."]},"beginTime":2631,"endTime":2850,"href":"/video/preview/8249871379079669495?parent-reqid=1765324196738693-13857344633230714658-balancer-l7leveler-kubr-yp-sas-114-BAL&text=Statik+Pc&t=2631&ask_summarization=1"},{"index":21,"title":"Pratik Yöntem","list":{"type":"unordered","items":["Xg değerini paralel eksen teoremine tüm şekle uygulayarak da bulmak mümkündür.","X eksenine göre momenti hesaplamış olsak bile, paralel eksen teoremi tüm şekle uygulanarak xg değeri 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