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Article
Absolute Maximum Bending Moment in Short Simply Supported Beams under Moving Point Loads
عزم الإنحناءالأقصى المطلق في العتبات الخرسانیة ذات الإسناد البسیط تحت تأثیر احمال مركزة متحركة

Author: Layla Ali Ghaleb Yaseen
Journal: Engineering and Technology Journal مجلة الهندسة والتكنولوجيا ISSN: 16816900 24120758 Year: 2012 Volume: 30 Issue: 16 Pages: 2811-2833
Publisher: University of Technology الجامعة التكنولوجية

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Abstract

This paper represents a theoretical investigation of the location of the absolutemaximum bending moment in short simply supported beams under the influence ofseveral moving point loads. However, for decades it was considered that the absolutemaximum bending moment is determined by positioning the beam center-line midwaybetween the resultant of the loads and the nearer heavy load. Obviously, otherpoint loads may also be required to be mirror imaged with the resultant to ensure thatthe obtained maximum bending moment is an absolute maximum. This method wasassumed to be working for all spans of simply supported beams without anylimitations.In this paper it is shown that this traditional method is not always valid. Examplesof short span beams subjected to moving point loads having distance between twoloads exceeding half the length of the beam indicate absolute maximum bendingmoments greater than those obtained by the traditional method.

ھذا البحث یقدم تحلیلا نظریا لموقع عزم الإنحناء الأقصى المطلق في العتبات الخرسانیة القصیرةذات الإسناد البسیط تحت تأثیر مجموعة من الأحمال المركزة المتحركة. منذ عقود كان الإعتقاد السائدان عزم الانحناء الأقصى المطلق یتم احتسابھ من خلال جعل الخط الوسطي للعتبة في وس ط المس افةبین محصلة القوى للاحمال واقرب حمل ثقیل لھا. وقد یتطلب الأمر تكرار مثل ھذه المناظرة لمحصلةالأحمال مع احمال اخرى لضمان الحصول على العزم الأقصى المطلق.ھذه الطریقة كان من المفترض ان تعمل لكل العتبات ذات الإس ناد البس یط وبمختل ف الأط وال وب دونمحددات.في ھ ذا البح ث ت م توض یح ان الطریق ة التقلیدی ة ق د لا تص ح دائم ا. امثل ة م ن عتب ات ذات اط والقصیرة معرضة لاحمال متحركة فیھا المسافة بین حمل ین منھ ا یزی د عل ى نص ف ط ول العتب ة تعط يعزم انحناء اقصى مطلق اعلى من العزم المحتسب بالطریقة التقلیدیة.


Article
Analysis of Fibrous Reinforced Concrete Beams
تحلیل العتبات الخرسانیة المسلحة والمعززة بالالیاف الفولاذیة

Authors: Ayad Zeki Saber Agha --- Mereen Hassan Fahmi Rasheed
Journal: Engineering and Technology Journal مجلة الهندسة والتكنولوجيا ISSN: 16816900 24120758 Year: 2012 Volume: 30 Issue: 6 Pages: 974-990
Publisher: University of Technology الجامعة التكنولوجية

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Abstract

Steel fiber reinforced concrete is used as a construction material in modern structures. Recent studies have shown that steel fiber can be used to improve the behavior of structures and increase the bending moment capacity and shear strength of reinforced concrete members.This research present and modify the nominal and ultimate bending momentequation, maximum and balance reinforcement indices and depth of compression zone for different types of reinforced concrete beams: single, double and T beams including the effect of steel fibers.The modified equations showed that the internal moment capacity of the beams with steel fiber increased by the amount ( ) which represent the participation of the steel fiber. The balance and maximum reinforced indexes ( & )decreased by ( ) for single, double & T-beam reinforced concrete, this means that the ductility increased by adding steel fiber. Also the depth of compression zone increased by afactor ( ) which is greater than (1.0). The modified equations are verified and applied on the reinforced concrete beams with steel fibers which tested in previous study, the theoretical results showed excellent agreement with the experimental values.

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