{"id":1876,"date":"2026-08-03T21:35:10","date_gmt":"2026-08-03T21:35:10","guid":{"rendered":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/"},"modified":"2026-08-03T21:35:10","modified_gmt":"2026-08-03T21:35:10","slug":"akma-cizgisi-sonlu-eleman-yuk-ayristirmasi","status":"publish","type":"wiki","link":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/","title":{"rendered":"\u00d6rnekle Akma \u00c7izgisi ve Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131"},"content":{"rendered":"
\n
<\/p>\n
Bu konuyu daha iyi kavrayabilmek i\u00e7in bu makaleye ge\u00e7meden \u00f6nce  <\/span>Modelleme, Analiz ve Tasar\u0131m Ak\u0131\u015f \u015eemas\u0131<\/span><\/a> <\/b>b\u00f6l\u00fcm\u00fcne bakman\u0131z ve konuyla ili\u015fkilendirmeniz \u00f6nerilir.<\/span><\/div>\n

<\/span><\/div>\n

Betonarme d\u00f6\u015feme y\u00fcklerinin ta\u015f\u0131y\u0131c\u0131 betonarme kiri\u015flere aktar\u0131lmas\u0131n\u0131 hesaplamak i\u00e7in iki y\u00f6ntem vard\u0131r: <\/span><\/div>\n
<\/div>\n
1. Varsay\u0131lan “Akma \u00c7izgisi” Y\u00f6ntemiyle Kiri\u015f Y\u00fcklerinin Hesaplanmas\u0131<\/span><\/b> <\/div>\n
    \n
  1. D\u00f6\u015feme ve kiri\u015fler modellendi\u011finde d\u00f6\u015feme y\u00fck\u00fc varsay\u0131lan olarak akma \u00e7izgisi etki alan\u0131 y\u00f6ntemi<\/i> ile otomatik hesaplan\u0131r.<\/span><\/span><\/li>\n
  2. D\u00f6\u015femedeki t\u00fcm \u00e7izgisel\/nokta y\u00fckler e\u015fde\u011fer alan y\u00fck\u00fcne d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr. Toplam y\u00fck kiri\u015fe aktar\u0131lsa da bu y\u00fcklerin yerel etkisi de\u011ferlendirilemez.   <\/span><\/span><\/li>\n
  3. D\u00f6\u015feme bo\u015fluklar\u0131 dikkate al\u0131nmaz. B\u00fcy\u00fck d\u00f6\u015feme bo\u015fluklar\u0131nda kiri\u015flere aktar\u0131lan y\u00fckler g\u00fcvenli tarafta (y\u00fcksek) hesaplan\u0131r.<\/span><\/span><\/li>\n
  4. D\u00fczenli dikd\u00f6rtgen veya kareye yak\u0131n d\u00f6\u015femeler i\u00e7in uygundur. D\u00fczensiz \u015fekilli d\u00f6\u015femelerde yeterli olmayabilir.<\/span><\/span><\/li>\n<\/ol>\n
    2. "Sonlu Elemanla Y\u00fck Ayr\u0131\u015ft\u0131rma" Y\u00f6ntemiyle Kiri\u015f Y\u00fcklerinin Hesaplanmas\u0131<\/span><\/span><\/span><\/span><\/b> <\/div>\n
      \n
    1. Bu i\u015flem, <\/span><\/span>Y\u00fckleme<\/span><\/span><\/b> (\u00fcst men\u00fc) veya<\/span> Analiz<\/span><\/b> (\u00fcst men\u00fc) > <\/span><\/span>Sonlu Elemanla Y\u00fck Ayr\u0131\u015ft\u0131rma<\/span><\/span><\/b> yolu izlenerek \u00e7al\u0131\u015ft\u0131r\u0131l\u0131r.<\/span><\/span>
      <\/span><\/li>\n
    2. Bu y\u00f6ntem, d\u00f6\u015feme y\u00fcklerinin kiri\u015flere varsay\u0131lan “Akma \u00c7izgisi” y\u00f6ntemiyle aktar\u0131lmas\u0131na alternatiftir<\/span><\/span><\/span><\/span>
      <\/span><\/li>\n
    3. D\u00f6\u015femeler sonlu eleman a\u011f\u0131na b\u00f6l\u00fcnd\u00fc\u011f\u00fc i\u00e7in yo\u011funla\u015fm\u0131\u015f d\u00f6\u015feme y\u00fcklerinin yerel etkisi dikkate al\u0131nabilir<\/span><\/span><\/span><\/span>
      <\/span><\/li>\n
    4. D\u00f6\u015feme bo\u015fluklar\u0131 dikkate al\u0131n\u0131r; bo\u015fluklu d\u00f6\u015femelerden kiri\u015flere aktar\u0131lan y\u00fckler farkl\u0131 hesaplan\u0131r.  <\/span><\/span><\/span><\/span>
      <\/span><\/li>\n
    5. D\u00fczensiz \u015fekilli d\u00f6\u015femelerin (dikd\u00f6rtgen veya kareye yak\u0131n olmayan) \u00e7ok oldu\u011fu durumlarda kullan\u0131lmal\u0131d\u0131r<\/span><\/span><\/span><\/span>
      <\/span><\/li>\n
    6. Bu y\u00f6ntem, d\u00f6\u015femelerin plak ve kabuk elemanlar\u0131na b\u00f6l\u00fcnmesini gerektirdi\u011finden akma \u00e7izgisi etki alan\u0131 y\u00f6ntemine g\u00f6re analizde daha uzun s\u00fcrer; modelde \u00e7ok say\u0131da d\u00f6\u015feme bulundu\u011funda bu s\u00fcre daha da artar.<\/span><\/span><\/span><\/span><\/li>\n<\/ol>\n<\/div>\n
      \n
      <\/p>\n
      \u00c7elik kiri\u015flerle<\/b> ta\u015f\u0131nan<\/b> betonarme d\u00f6\u015femelerde <\/b><\/span>kullan\u0131c\u0131n\u0131n<\/span><\/b> "Sonlu Elemanla Y\u00fck Ayr\u0131\u015ft\u0131rma"y\u0131 \u00e7al\u0131\u015ft\u0131rmas\u0131 gerekir<\/b>.  Varsay\u0131lan akma \u00e7izgisi y\u00f6ntemi bu durumda \u00e7al\u0131\u015fmaz. <\/span>
      <\/span><\/div>\n
      Alternatif olarak \u00e7elik kiri\u015fin betonarme d\u00f6\u015femeyle kompozit \u00e7al\u0131\u015ft\u0131\u011f\u0131 kompozit kiri\u015f \u00e7\u00f6z\u00fcm\u00fc de\u011ferlendirilebilir: <\/span> Kompozit Kiri\u015f Tasar\u0131m\u0131 Genel Prensipleri<\/a> <\/span><\/div>\n

      <\/span><\/div>\n<\/div>\n

      Y\u00fck Ayr\u0131\u015ft\u0131rma Nedir?<\/span><\/span>
      <\/span><\/b><\/h1>\n
      D\u00f6\u015femeler, genel bina analizinin bir par\u00e7as\u0131 olarak modellenmez. Bunun yap\u0131labilmesi i\u00e7in \u00e7ok katl\u0131 3B modelde her kat seviyesinde tam a\u011f yap\u0131s\u0131na sahip bir sonlu eleman modeli gerekir. Ger\u00e7ek\u00e7i yap\u0131larda bu t\u00fcr modeller, mevcut bilgisayar donan\u0131m\u0131n\u0131n\/i\u015flemcilerinin makul kapasitesinin \u00f6tesindedir.<\/span><\/span>
      <\/span><\/div>\n
      D\u00f6\u015femeler ve d\u00f6\u015feme y\u00fckleri tan\u0131mland\u0131\u011f\u0131nda, <\/span><\/span>ProtaStructure<\/span><\/span><\/i><\/b> ta\u015f\u0131y\u0131c\u0131 kiri\u015flere hangi y\u00fck\u00fcn uygulanaca\u011f\u0131n\u0131 hesaplamak zorundad\u0131r. Bu i\u015flem varsay\u0131lan olarak etki alan\u0131na dayal\u0131 geleneksel bir y\u00f6ntemle yap\u0131l\u0131r.<\/span><\/span><\/span><\/div>\n
      <\/span><\/div>\n

      <\/span> <\/span><\/span><\/span><\/p>\n

      Her kiri\u015fe y\u00fck aktaran etki alanlar\u0131n\u0131n s\u0131n\u0131rlar\u0131 yukar\u0131daki gibi grafiksel olarak g\u00f6r\u00fcnt\u00fclenebilir. Bu s\u0131n\u0131rlar olas\u0131 <\/span><\/span>akma \u00e7izgilerine<\/span><\/span><\/i> benzedi\u011finden bu varsay\u0131lan y\u00f6nteme bu ad verilmi\u015ftir.<\/span><\/span>
      <\/span><\/p>\n

      Bu konuda da di\u011fer bir\u00e7ok alanda oldu\u011fu gibi, <\/span><\/span>ProtaStructure<\/span><\/span><\/i><\/b> y\u0131llard\u0131r <\/span><\/span>elle hesaplamalarda <\/span><\/span><\/i>kullan\u0131lan m\u00fchendislik y\u00f6ntemini uygular.<\/span><\/span>
      <\/span><\/p>\n

      Neden Sonlu Eleman Y\u00f6ntemine Ge\u00e7ilmeli?<\/span><\/span>
      <\/span><\/b><\/h1>\n

      Akma \u00e7izgileri<\/span><\/span><\/i> y\u00f6ntemi a\u015fa\u011f\u0131daki gibi durumlarda s\u0131n\u0131rl\u0131d\u0131r:<\/span><\/span>
      <\/span><\/p>\n

        \n
      1. D\u00f6\u015feme s\u0131n\u0131rlar\u0131 olduk\u00e7a d\u00fczensiz oldu\u011funda, \u00f6zellikle karma\u015f\u0131k bir s\u0131n\u0131r\u0131n baz\u0131 kenarlar\u0131 mesnetsiz oldu\u011funda.<\/span><\/span><\/span>
        <\/span><\/li>\n
      2. D\u00f6\u015femede \u00f6nemli bo\u015fluklar tan\u0131mland\u0131\u011f\u0131nda.<\/span><\/span>
        <\/span><\/li>\n
      3. D\u0131\u015fmerkez tekil nokta, alansal veya \u00e7izgisel y\u00fckler bulundu\u011funda.<\/span><\/span>
        <\/span><\/li>\n<\/ol>\n
        Bu gibi durumlarda kiri\u015f y\u00fckleri, bir <\/span><\/span> <\/span>Sonlu Elemanlar Modeli<\/span><\/span><\/i> <\/span> kullan\u0131larak daha do\u011fru hesaplan\u0131r.<\/span><\/span><\/div>\n

        <\/span><\/div>\n

        <\/p>\n


        <\/span><\/div>\n

        <\/span><\/p>\n

        Yukar\u0131da g\u00f6sterilen basit 6 m x 4 m d\u00f6\u015femeyi ele alal\u0131m. D\u0131\u015fmerkez tekil nokta y\u00fckleri uygulanm\u0131\u015ft\u0131r ve b\u00fcy\u00fck bir bo\u015fluk tan\u0131mlanm\u0131\u015ft\u0131r.<\/span><\/span>
        <\/span><\/div>\n

        <\/span><\/div>\n
        Geleneksel (Akma \u00c7izgisi) y\u00fck aktar\u0131m y\u00f6ntemi bo\u015flu\u011fu g\u00f6z ard\u0131 eder ve tekil y\u00fck\u00fc, d\u00f6\u015femenin t\u00fcm alan\u0131na uygulanacak e\u015fde\u011fer bir d\u00fczg\u00fcn yay\u0131l\u0131 y\u00fck (UDL) hesaplayarak ortalamaya \u00e7eker. Y\u00fck kaybolmaz, ancak etkisi \u00e7evredeki kiri\u015flere olan yak\u0131nl\u0131\u011f\u0131ndan ba\u011f\u0131ms\u0131zd\u0131r. Bu durum, kiri\u015f y\u00fckleri "<\/span>Y\u00fckleri D\u00fczenle<\/span><\/a>" sekmesinde incelendi\u011finde a\u00e7\u0131k\u00e7a g\u00f6r\u00fcl\u00fcr.<\/span><\/span><\/div>\n

        <\/span><\/div>\n
        <\/p>\n
        <\/div>\n
        <\/div>\n

        <\/span><\/span><\/p>\n

        1B3 kiri\u015findeki y\u00fckleme, tekil y\u00fckleri kar\u015f\u0131lamak i\u00e7in tepe UDL de\u011ferinin ayarland\u0131\u011f\u0131 basit bir trapez profildir. Bu y\u00f6nteme g\u00f6re 1B1 kiri\u015fi de ayn\u0131 y\u00fckleme profiline sahiptir.<\/span><\/span><\/span><\/div>\n

        <\/span><\/p>\n

        <\/div>\n

        <\/span><\/p>\n

        <\/span><\/span><\/div>\n

        <\/span><\/p>\n

        <\/div>\n

        <\/span><\/p>\n

        Bina analizi \u00e7al\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda, a\u015fa\u011f\u0131da g\u00f6sterildi\u011fi gibi tamamen simetrik bir kolon y\u00fck\u00fc seti belirlenir.<\/span><\/span><\/div>\n

        <\/span><\/p>\n

        <\/div>\n

        <\/span><\/p>\n

        <\/div>\n

        <\/span><\/p>\n

        <\/div>\n

        <\/span><\/p>\n

        \n

        D\u00f6\u015feme Y\u00fck\u00fc Ayr\u0131\u015ft\u0131rmas\u0131nda FE Y\u00f6ntemi \u00d6rne\u011fi<\/span><\/span><\/b>
        <\/span><\/h2>\n

        \u0130ste\u011fe ba\u011fl\u0131 Sonlu Elemanlar Modeli kullan\u0131ld\u0131\u011f\u0131nda tekil y\u00fckler \u00e7ok daha do\u011fru da\u011f\u0131t\u0131l\u0131r. D\u00f6\u015feme y\u00fck\u00fc de bo\u015flukla ilgili d\u00fc\u015f\u00fcmler ve etkiler dahil olmak \u00fczere daha do\u011fru da\u011f\u0131t\u0131l\u0131r.<\/span><\/span><\/span>
        <\/span><\/p>\n

        FE modeline dayal\u0131 iste\u011fe ba\u011fl\u0131 kiri\u015f y\u00fcklerinin olu\u015fturulma prosed\u00fcr\u00fc \u015fu \u015fekildedir:<\/span><\/span><\/span> <\/span>
        <\/span><\/div>\n<\/div>\n<\/div>\n
        \n
        \n
        1.      A\u015fa\u011f\u0131da g\u00f6sterildi\u011fi gibi, <\/span><\/span> <\/span><\/span>FE ile Y\u00fck Ayr\u0131\u015ft\u0131rma<\/span><\/span><\/b><\/i> <\/span><\/span> komutunu <\/span><\/span> <\/span><\/span>Y\u00fckleme<\/span><\/span><\/b><\/i> <\/span><\/span> men\u00fcs\u00fcnden se\u00e7in.<\/span><\/span><\/div>\n<\/div>\n<\/blockquote>\n

        <\/p>\n

        \n
        \n
        <\/div>\n<\/div>\n<\/div>\n

        <\/span><\/p><\/blockquote>\n

        <\/p>\n

        \n
        \n
        Sol paneldeki kat listesinden ilgili kat\u0131 se\u00e7in ve FE Y\u00fck Ayr\u0131\u015ft\u0131rma analizini ger\u00e7ekle\u015ftirmek i\u00e7in "D\u00f6\u015feme Y\u00fcklerini Hesapla<\/b>" d\u00fc\u011fmesine t\u0131klay\u0131n.<\/span><\/span><\/span><\/div>\n<\/div>\n<\/div>\n

        <\/span><\/p><\/blockquote>\n

        <\/p>\n

        \n
        \n
        <\/span><\/span><\/span><\/div>\n<\/div>\n<\/div>\n

        <\/span><\/p><\/blockquote>\n

        <\/p>\n

        \n
        \n
        2. <\/span>     D\u00f6\u015feme Kabuk Eleman Boyutu i\u00e7in varsay\u0131lan olarak Minimum 500 mm ve Maksimum 1000 mm \u00f6nerilir; ancak bu de\u011ferleri de\u011fi\u015ftirebilirsiniz.<\/span>
        <\/span><\/span><\/div>\n<\/div>\n<\/div>\n

        <\/span><\/p><\/blockquote>\n

        <\/p>\n

        \n
        <\/div>\n<\/div>\n

        <\/span><\/p>\n

        <\/p>\n

        \n
        \n
        3.    <\/span><\/span><\/span> "D\u00f6\u015feme Y\u00fcklerini Hesapla"<\/span><\/b><\/span><\/span><\/i> d\u00fc\u011fmesine t\u0131klay\u0131n; d\u00f6\u015feme se\u00e7ili\/t\u00fcm katlar i\u00e7in otomatik olarak a\u011f \u00f6rg\u00fcs\u00fcne (mesh) d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr.<\/span><\/span><\/span> <\/div>\n
        4.    <\/span><\/span><\/span>Her kat i\u00e7in olu\u015fturulan a\u011f \u00f6rg\u00fcs\u00fcn\u00fc g\u00f6r\u00fcnt\u00fclemek amac\u0131yla "Analizden \u00d6nce Analitik Modeli G\u00f6ster\u201d<\/i><\/b> se\u00e7ene\u011fini i\u015faretleyin.<\/span><\/span><\/span><\/div>\n

        <\/span><\/span><\/span><\/div>\n<\/div>\n<\/div>\n

        <\/span><\/p><\/blockquote>\n

        <\/p>\n

        \n
        \n
        <\/div>\n<\/div>\n<\/div>\n

        <\/span><\/p>\n

        \n
        <\/p>\n
        <\/div>\n
        Analitik model, d\u00f6\u015femeyi \u00fc\u00e7gen kabuk elemanlara b\u00f6ler. <\/span><\/span>D\u00f6\u015feme a\u011f\u0131 d\u00fc\u011f\u00fcm noktalar\u0131, ta\u015f\u0131y\u0131c\u0131 kiri\u015fi \u00e7ok say\u0131da segment \u00e7er\u00e7eve d\u00fc\u011f\u00fcm\u00fcne ay\u0131r\u0131r. <\/span><\/span><\/div>\n
          \n
        1. Her kiri\u015f segment d\u00fc\u011f\u00fcm\u00fcne otomatik olarak sahte (dummy) bir mesnet eklenir. Bu, kiri\u015fin sehim yapamayaca\u011f\u0131 anlam\u0131na gelir. Bu nedenle kiri\u015f rijitli\u011finin d\u00f6\u015feme y\u00fck aktar\u0131m\u0131na etkisi olmaz. <\/span><\/span>
          <\/span><\/li>\n
        2. D\u00f6\u015feme y\u00fck\u00fc yaln\u0131zca kiri\u015f segment d\u00fc\u011f\u00fcmlerinde ayr\u0131\u015ft\u0131r\u0131l\u0131r veya hesaplan\u0131r:  <\/span><\/span>
          <\/span><\/li>\n
            \n
          1. \u00c7ok az d\u00f6\u015feme a\u011f\u0131, d\u00fc\u011f\u00fcmler aras\u0131nda y\u00fcklemenin do\u011frusal kabul edilmesi nedeniyle daha d\u00fc\u015f\u00fck do\u011fruluk anlam\u0131na gelir.  <\/span><\/span>
            <\/span><\/li>\n
          2. \u00c7ok fazla a\u011f ise, \u00f6zellikle d\u00f6\u015feme alan\u0131 b\u00fcy\u00fck oldu\u011funda analiz s\u00fcresinin gereksiz yere uzamas\u0131na neden olur.  <\/span><\/span>
            <\/span><\/li>\n
          3. Genel kural, her ta\u015f\u0131y\u0131c\u0131 kiri\u015f boyunca 6 ile 8 aras\u0131 a\u011f kullan\u0131lmas\u0131d\u0131r. <\/span><\/span>
            <\/span><\/li>\n<\/ol>\n
          4. Bu durumda, \u00f6nerilen d\u00f6\u015feme kabuk eleman boyutu her kiri\u015f boyunca en az 8 d\u00fc\u011f\u00fcm sa\u011flar; a\u00e7\u0131kl\u0131k \u00e7evresinde a\u011f yap\u0131s\u0131 iyi olmasa da bu basit \u00f6rnekte ama\u00e7lanan kullan\u0131m i\u00e7in muhtemelen yeterlidir. <\/span><\/span><\/li>\n<\/ol>\n

            <\/span><\/div>\n

            <\/span><\/p>\n

            \n
                      <\/span><\/span>  5. Yukar\u0131daki i\u015flem tamamland\u0131\u011f\u0131nda, FE Y\u00fck Ayr\u0131\u015ft\u0131rma analiz sonu\u00e7lar\u0131 modeldeki t\u00fcm kiri\u015flere otomatik olarak uygulan\u0131r.<\/span><\/span><\/div>\n
                  <\/span><\/span><\/span><\/span><\/span>            <\/span><\/div>\n
            Bunu kiri\u015f baz\u0131nda inceleyebilirsiniz. Herhangi bir kiri\u015fi se\u00e7ip "Y\u00fckleri D\u00fczenle" se\u00e7ene\u011fini i\u015faretledi\u011finizde, "D\u00f6\u015feme Y\u00fck\u00fc Hesaplama Y\u00f6ntemi" se\u00e7ene\u011finin<\/span> <\/span><\/b><\/span> <\/span>"Sonlu Eleman" <\/b><\/i>y\u00f6ntemine<\/span><\/span> <\/span>ge\u00e7mi\u015f oldu\u011funu g\u00f6r\u00fcrs\u00fcn\u00fcz. 1B1 kiri\u015fi i\u00e7in yeni y\u00fckleme a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir<\/span>.<\/span><\/span><\/span><\/div>\n
            <\/div>\n
            <\/span><\/span><\/span><\/div>\n
            <\/div>\n<\/div>\n

            <\/p>\n

            Beklendi\u011fi gibi, y\u00fck yo\u011funlu\u011fu tekil y\u00fcklerin uyguland\u0131\u011f\u0131 u\u00e7lara do\u011fru en y\u00fcksek de\u011ferine ula\u015f\u0131r.<\/span><\/span> <\/div>\n
            \n

            Bu yeni y\u00fcklemeleri kullanabilmek i\u00e7in bina analizinin yeniden yap\u0131lmas\u0131 gerekir. \u0130\u015flem tamamland\u0131\u011f\u0131nda kolon y\u00fcklerinin da\u011f\u0131l\u0131m\u0131n\u0131n olduk\u00e7a farkl\u0131 oldu\u011fu g\u00f6r\u00fcl\u00fcr.<\/span><\/span><\/p>\n<\/div>\n

            <\/span><\/div>\n

            <\/div>\n
            \n

            Yield Line y\u00f6ntemiyle toplam Hareketli Y\u00fck yakla\u015f\u0131k 266,4 kN olarak bulunmu\u015ftu. <\/span><\/span>FE<\/span><\/span><\/i><\/b> y\u00f6ntemiyle bu de\u011fer 258,4 kN'ye d\u00fc\u015fer; bunun nedeni a\u00e7\u0131kl\u0131\u011fa y\u00fck uygulanmamas\u0131d\u0131r.<\/span><\/span><\/span><\/p>\n

            \n
            D\u00f6\u015feme y\u00fcklerinde veya kiri\u015f yerle\u015fiminde de\u011fi\u015fiklik yaparsan\u0131z, bina analizini yeniden yapmadan \u00f6nce <\/span><\/span><\/span>FE ile Y\u00fck Ayr\u0131\u015ft\u0131rma <\/span><\/span><\/span>komutunu yeniden \u00e7al\u0131\u015ft\u0131rmay\u0131 unutmay\u0131n.<\/span><\/span><\/span><\/span> <\/div>\n
            \n
            Eksenel y\u00fck kar\u015f\u0131la\u015ft\u0131rmalar\u0131 her analizin sonunda yap\u0131l\u0131r. Bu, uygulanan y\u00fckler ile analiz reaksiyonlar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131d\u0131r. Ayr\u0131\u015ft\u0131rma y\u00f6ntemini kiri\u015f baz\u0131nda se\u00e7ebildi\u011finiz i\u00e7in bu kar\u015f\u0131la\u015ft\u0131rmada tutars\u0131zl\u0131klar g\u00f6r\u00fclebilir. Yukar\u0131daki \u00f6rnekte, yaln\u0131zca 1B1 kiri\u015fi i\u00e7in sonlu eleman ayr\u0131\u015ft\u0131rmas\u0131 se\u00e7ilirse, kar\u015f\u0131la\u015ft\u0131rma a\u015fa\u011f\u0131daki gibi g\u00f6r\u00fcnt\u00fclenir.<\/span><\/span><\/span> <\/div>\n
            <\/div>\n
            <\/div>\n<\/div>\n<\/div>\n<\/div>\n
            \u0130lk uygulanan y\u00fckler tablosu, her d\u00f6\u015feme, kiri\u015f vb. i\u00e7in uygulanan y\u00fcklerin toplamlar\u0131n\u0131 g\u00f6sterir. \u0130kinci uygulanan y\u00fckler tablosu, ayr\u0131\u015ft\u0131rma sonras\u0131 y\u00fckleme toplamlar\u0131n\u0131 g\u00f6sterir. Ayr\u0131\u015ft\u0131rma y\u00f6ntemleri her kiri\u015f i\u00e7in en k\u00f6t\u00fc durumun kullan\u0131laca\u011f\u0131 \u015fekilde kar\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131ndan, ayr\u0131\u015ft\u0131rma sonras\u0131 toplam y\u00fckleme daha y\u00fcksektir. Bu daha y\u00fcksek y\u00fcklemenin bina analizinde de korundu\u011fu g\u00f6r\u00fcl\u00fcr<\/span>.<\/span> <\/div>\n
            \n

            Geleneksel Yield Line y\u00f6ntemi neden korunmal\u0131?<\/span><\/span><\/b>
            <\/h1>\n
            Yukar\u0131daki \u00f6rne\u011fi g\u00f6rd\u00fckten sonra bu soruyu sorabilirsiniz. Dikkat edilmesi gereken \u00f6nemli nokta, \u00f6rne\u011fin s\u0131ra d\u0131\u015f\u0131\/u\u00e7 bir durum olmas\u0131d\u0131r. Tekil y\u00fckler ve bask\u0131n a\u00e7\u0131kl\u0131klar ola\u011fan durum de\u011fildir.<\/span><\/span><\/div>\n
            <\/div>\n
            FE y\u00f6nteminin ba\u015fl\u0131ca dezavantaj\u0131 h\u0131zd\u0131r. \u00c7ok say\u0131da d\u00f6\u015feme oldu\u011funda, buna kar\u015f\u0131l\u0131k gelen say\u0131da kabuk eleman gerekir ve analitik modeller (bir seferde tek kat i\u015flense de) b\u00fcy\u00fcr, bu da analizi yava\u015flat\u0131r.<\/span><\/span><\/div>\n
            <\/div>\n
            D\u00fczg\u00fcn yay\u0131l\u0131 y\u00fckl\u00fc d\u00f6\u015femelerle yap\u0131lan kar\u015f\u0131la\u015ft\u0131rmalar, geleneksel Yield Line ile FE y\u00f6ntemleri aras\u0131nda y\u00fcksek uyum g\u00f6sterir; bu nedenle i\u015flerinizin b\u00fcy\u00fck b\u00f6l\u00fcm\u00fcnde geleneksel y\u00f6ntemi kullanmay\u0131 daha pratik bulabilirsiniz.<\/span><\/span><\/div>\n
            <\/div>\n
            FE y\u00f6nteminin yaratt\u0131\u011f\u0131 farklar\u0131 de\u011ferlendirdi\u011finizde, ne zaman daha uygun olaca\u011f\u0131na kendiniz karar verebilirsiniz; belirgin a\u00e7\u0131kl\u0131klar ve\/veya tekil y\u00fcklemelerle \u00e7al\u0131\u015f\u0131rken FE y\u00f6nteminin daha iyi sonu\u00e7 verdi\u011fi a\u00e7\u0131kt\u0131r.<\/span><\/span><\/div>\n
            <\/div>\n
            Sonu\u00e7ta hi\u00e7bir y\u00f6ntem her zaman herkese uymaz. Bu nedenle her kiri\u015f i\u00e7in ayr\u0131 ayr\u0131 y\u00f6ntem se\u00e7ebilir, ya da t\u00fcm kiri\u015fleri bir y\u00f6ntemle tasarlay\u0131p di\u011fer y\u00f6ntemle kontrol edebilirsiniz. Kontrol s\u0131ras\u0131nda <\/span><\/span>\u00f6nceki donat\u0131lar yetersiz oldu\u011funda yeni \u00e7elik se\u00e7<\/span><\/span><\/i> se\u00e7ene\u011fini kullanarak t\u00fcm kiri\u015flerin her iki y\u00fck da\u011f\u0131t\u0131m y\u00f6nteminden \u00e7\u0131kan en k\u00f6t\u00fc durum i\u00e7in tasarlanmas\u0131n\u0131 sa\u011flayabilirsiniz.<\/span><\/span> <\/span> <\/div>\n
            <\/div>\n
            \n
            SE y\u00f6nteminde kiri\u015fler tam ankastre mesnet s\u0131ras\u0131yla de\u011fi\u015ftirilir. Bu nedenle s\u0131radan d\u00fczenli d\u00f6\u015femelerde hem akma \u00e7izgisi hem de SE y\u00f6ntemi y\u00fckleri i\u00e7 ve kenar kiri\u015flere e\u015fit olarak da\u011f\u0131t\u0131r. Ba\u015fka bir deyi\u015fle s\u00fcreklilik dikkate al\u0131nmaz. Bu, el hesaplar\u0131nda uzun s\u00fcredir kabul g\u00f6rm\u00fc\u015f bir basitle\u015ftirmedir.
            Bunun daha u\u00e7 bir \u00f6rne\u011fi konsol d\u00f6\u015femedir. Konsola biti\u015fik kiri\u015f, t\u00fcm konsol d\u00f6\u015feme y\u00fck\u00fcn\u00fc ve i\u00e7 d\u00f6\u015feme y\u00fck\u00fcn\u00fcn yar\u0131s\u0131n\u0131 ta\u015f\u0131r; uzun konsollarda bu \u00f6nemli bir eksik tahmine yol a\u00e7abilir.
            Bu gibi durumlarda s\u00fcreklili\u011fi hesaba katman\u0131n tek yolu, Yap\u0131 Analizi > D\u00f6\u015feme Modeli diyalo\u011funda D\u00f6\u015femeleri Yap\u0131 Modeline Dahil Et<\/a> se\u00e7ene\u011fini i\u015faretleyerek d\u00f6\u015femeleri Yap\u0131 Analizi ile a\u011f olu\u015fturarak dahil etmektir. Bu y\u00f6ntem s\u00fcreklili\u011fi ele al\u0131r; konsola biti\u015fik kiri\u015fe daha y\u00fcksek y\u00fck, buna kar\u015f\u0131l\u0131k bir sonraki i\u00e7 kiri\u015fe daha az y\u00fck aktar\u0131l\u0131r \u2010 baz\u0131 m\u00fchendisler bu yakla\u015f\u0131m\u0131 tercih edebilir. <\/span><\/span><\/span><\/span><\/div>\n
            <\/div>\n<\/div>\n

            SE Y\u00fck Da\u011f\u0131t\u0131m y\u00f6nteminden geleneksel (akma \u00e7izgisi) y\u00f6nteme nas\u0131l geri d\u00f6n\u00fcl\u00fcr?<\/span><\/span><\/span><\/b>
            <\/h1>\n
            Daha \u00f6nce <\/span><\/span> <\/span>Y\u00fckleme<\/span><\/span><\/b> <\/span> sekmesi alt\u0131ndaki <\/span><\/span> <\/span>SE ile Y\u00fck Da\u011f\u0131t\u0131m\u0131<\/span><\/span><\/b> <\/span> se\u00e7ene\u011fini \u00e7al\u0131\u015ft\u0131rd\u0131ysan\u0131z ve <\/span><\/span> <\/span>D\u00f6\u015feme Y\u00fck Hesaplama Y\u00f6ntemi<\/span><\/span><\/b> <\/span>‘ni tekrar <\/span><\/span> <\/span>Akma \u00c7izgisi Y\u00f6ntemi<\/span><\/span><\/i> <\/span>‘ne de\u011fi\u015ftirmek isterseniz izlenecek ad\u0131mlar \u015f\u00f6yledir:<\/span><\/span>
            <\/span><\/div>\n
              \n
            1. Herhangi bir kiri\u015fe sa\u011f t\u0131klay\u0131n (2B g\u00f6r\u00fcn\u00fc\u015f veya 3B g\u00f6r\u00fcn\u00fc\u015f olmas\u0131 \u00f6nemli de\u011fil)<\/span>
              <\/span><\/span><\/li>\n
            2. \u200b<\/span><\/span>D\u00f6\u015feme Y\u00fck Hesaplama Y\u00f6ntemi<\/span><\/span><\/i><\/b>‘ne t\u0131klay\u0131n
              <\/span><\/span><\/li>\n
            3. \u200b<\/span><\/span>Akma \u00c7izgisi Y\u00f6ntemi<\/span><\/span><\/i><\/b>‘ni se\u00e7in<\/span><\/span><\/li>\n
            4. \u200b<\/span><\/span>
              <\/i><\/b><\/li>\n
            5. Bu se\u00e7enek kattaki t\u00fcm kiri\u015flere veya modeldeki t\u00fcm kiri\u015flere uygulanabilir. <\/span>
              <\/li>\n<\/ol>\n<\/div>\n
              <\/div>\n","protected":false},"excerpt":{"rendered":"

              D\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131lmas\u0131nda akma \u00e7izgisi ve sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma y\u00f6ntemlerinin farklar\u0131 ve kullan\u0131m alanlar\u0131 anlat\u0131l\u0131r.<\/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":[19,47],"whitepaper_topic":[],"whitepaper_product":[],"whitepaper_type":[],"class_list":["post-1876","wiki","type-wiki","status-publish","hentry","category-technical-manuals","category-structural-modelling"],"yoast_head":"\nSonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131: Akma \u00c7izgisi Y\u00f6ntemi<\/title>\n<meta name=\"description\" content=\"Sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma ve akma \u00e7izgisi y\u00f6ntemleriyle d\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131m\u0131n\u0131 \u00f6\u011frenin; ProtaStructure'da do\u011fru y\u00f6ntemi se\u00e7in.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00d6rnekle Akma \u00c7izgisi ve Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131\" \/>\n<meta property=\"og:description\" content=\"Sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma ve akma \u00e7izgisi y\u00f6ntemleriyle d\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131m\u0131n\u0131 \u00f6\u011frenin; ProtaStructure'da do\u011fru y\u00f6ntemi se\u00e7in.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/\" \/>\n<meta property=\"og:site_name\" content=\"Protasoftware TR\" \/>\n<meta property=\"og:image\" content=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data1\" content=\"11 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/\",\"url\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/\",\"name\":\"Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131: Akma \u00c7izgisi Y\u00f6ntemi\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/protasoftware.com\\\/wp-content\\\/uploads\\\/2026\\\/04\\\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png\",\"datePublished\":\"2026-08-03T21:35:10+00:00\",\"description\":\"Sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma ve akma \u00e7izgisi y\u00f6ntemleriyle d\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131m\u0131n\u0131 \u00f6\u011frenin; ProtaStructure'da do\u011fru y\u00f6ntemi se\u00e7in.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/#primaryimage\",\"url\":\"https:\\\/\\\/protasoftware.com\\\/wp-content\\\/uploads\\\/2026\\\/04\\\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png\",\"contentUrl\":\"https:\\\/\\\/protasoftware.com\\\/wp-content\\\/uploads\\\/2026\\\/04\\\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/destek\\\/teknik-kilavuzlar\\\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00d6rnekle Akma \u00c7izgisi ve Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/#website\",\"url\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/\",\"name\":\"Protasoftware TR\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/protasoftware.com\\\/tr\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"tr\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131: Akma \u00c7izgisi Y\u00f6ntemi","description":"Sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma ve akma \u00e7izgisi y\u00f6ntemleriyle d\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131m\u0131n\u0131 \u00f6\u011frenin; ProtaStructure'da do\u011fru y\u00f6ntemi se\u00e7in.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/","og_locale":"tr_TR","og_type":"article","og_title":"\u00d6rnekle Akma \u00c7izgisi ve Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131","og_description":"Sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma ve akma \u00e7izgisi y\u00f6ntemleriyle d\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131m\u0131n\u0131 \u00f6\u011frenin; ProtaStructure'da do\u011fru y\u00f6ntemi se\u00e7in.","og_url":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/","og_site_name":"Protasoftware TR","og_image":[{"url":"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_misc":{"Tahmini okuma s\u00fcresi":"11 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/","url":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/","name":"Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131: Akma \u00c7izgisi Y\u00f6ntemi","isPartOf":{"@id":"https:\/\/protasoftware.com\/tr\/#website"},"primaryImageOfPage":{"@id":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/#primaryimage"},"image":{"@id":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/#primaryimage"},"thumbnailUrl":"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png","datePublished":"2026-08-03T21:35:10+00:00","description":"Sonlu eleman y\u00fck ayr\u0131\u015ft\u0131rma ve akma \u00e7izgisi y\u00f6ntemleriyle d\u00f6\u015feme y\u00fcklerinin kiri\u015flere aktar\u0131m\u0131n\u0131 \u00f6\u011frenin; ProtaStructure'da do\u011fru y\u00f6ntemi se\u00e7in.","breadcrumb":{"@id":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/"]}]},{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/#primaryimage","url":"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png","contentUrl":"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-5bbb9659f8fcc50e30f7c52f38a4cd0b.png"},{"@type":"BreadcrumbList","@id":"https:\/\/protasoftware.com\/tr\/destek\/teknik-kilavuzlar\/akma-cizgisi-sonlu-eleman-yuk-ayristirmasi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/protasoftware.com\/tr\/"},{"@type":"ListItem","position":2,"name":"\u00d6rnekle Akma \u00c7izgisi ve Sonlu Eleman Y\u00fck Ayr\u0131\u015ft\u0131rmas\u0131"}]},{"@type":"WebSite","@id":"https:\/\/protasoftware.com\/tr\/#website","url":"https:\/\/protasoftware.com\/tr\/","name":"Protasoftware TR","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/protasoftware.com\/tr\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"tr"}]}},"_links":{"self":[{"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/wiki\/1876","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/types\/wiki"}],"author":[{"embeddable":true,"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":0,"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/wiki\/1876\/revisions"}],"wp:attachment":[{"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/media?parent=1876"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/categories?post=1876"},{"taxonomy":"whitepaper_topic","embeddable":true,"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/whitepaper_topic?post=1876"},{"taxonomy":"whitepaper_product","embeddable":true,"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/whitepaper_product?post=1876"},{"taxonomy":"whitepaper_type","embeddable":true,"href":"https:\/\/protasoftware.com\/tr\/wp-json\/wp\/v2\/whitepaper_type?post=1876"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}