A Monte-Carlo Simulation for the Estimation of Sideby-Side Loading Events on Oregon Bridges

Obtaining the side-by-side probabilities accurately is a very important procedure during two lane loaded live load factor analysis. To calculate the load factors properly, side-by-side loading events should be investigated very carefully. This study presents a statistical method to investigate the side-by-side events on the Oregon bridges. Numerical simulations were performed for this investigation. These simulations were developed in MATLAB. Gross vehicle weights (GVW) of the trucks were used during the analysis. Monte Carlo simulations were performed to analyze side-by-side loading events. Degree of correlation coefficient of GVW for side-by-side trucks were also obtained from Monte Carlo simulations. 290 bridges located at the prescribed mile markers on Interstate-5 (I-5) southbound on Oregon highways and 1-year of Oregon state-specific weigh-in-motion (WIM) data were used. 75,000 trucks were randomly selected from 1,787,612 trucks that correspond to 1-year WIM data from Woodburn NB traffic site that is located in Oregon. Inverse standard normal distribution functions and cumulative distribution functions of the truck data were generated. With respect to the statistical analysis, side-by-side loading probabilities were found to be smaller than the ones presented in American Association of State Highway and Transportation Officials LRFD calibration.

Oregon Köprülerinde Yan Yana Araç Yüklemelerinin Tahmini için Bir Monte Carlo Simülasyonu

İki şeritli yollardaki hareketli yük katsayılarının tayininde, yan yana araç yüklemelerinin belirlenmesi çok önemli bir aşamadır. Yük katsayıları belirlenirken yan yana araç yüklemeleri çok dikkatli bir şekilde hesaplanmalıdır. Bu çalışmada, Amerika’da bulunan Oregon eyaleti köprülerindeki yan yana araç yüklemelerinin ve brüt araç ağırlıkları korelasyon katsayılarının tayini için istatistiksel bir yöntem sunulmuştur. Bu yöntemde bir Monte Carlo simülasyonu geliştirilmiş ve uygulanmıştır. Hesaplamalar esnasında kamyonların brüt araç ağırlıkları göz önüne alınmıştır. Analizlerde MATLAB programında hazırlanan sayısal simülasyonlar kullanılmıştır. Sayısal simülasyonlarda, Oregon eyaletindeki eyaletler arası I-5 otoyolunda, güneye giden doğrultuda bulunan 290 köprünün bilgileri ve 1,787,612 adet kamyonun, hareket halinde tartma (WIM) verileri kullanılmıştır. Köprü verileri köprülerin I-5 otoyolu üzerindeki geçiş km değerleri, bir diğer deyişle gerçek mil işaretlemeleri ve gerçek köprü uzunluklarıdır. Monte Carlo simülasyonlarında ayrıca 75,000 adet rassal (rastgele seçilmiş) kamyon kullanılmıştır. Bu kamyon verileri kullanılarak standart normal dağılım fonksiyonları ve kümülatif dağılım fonksiyonları hesaplanmıştır. İstatistiksel analizler sonucunda yan yana yükleme olasılıkları, Amerikan otoyol ve taşıma standartlarını belirleyen kurum olan AASHTO’nun hazırladığı köprü tasarım şartnamelerindeki (LRFD) değerlerinden daha düşük olarak bulunmuştur.

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