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Soil-Structure Interaction تفاعل الأساس مع البناء. Abdul Razzaq Touqan عبد الرزاق طوقان. مقدمة. الزلازل أوضح رسالة من رسالات التغيير في علاقة البناء بالأساس فهي تبين: إما صلاحية المدخلات والمعالجة إذا سلمت المخرجات أو
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Soil-Structure Interactionتفاعل الأساس مع البناء Abdul Razzaq Touqan عبد الرزاق طوقان
مقدمة • الزلازل أوضح رسالة من رسالات التغيير في علاقة البناء بالأساس فهي تبين: إما صلاحية المدخلات والمعالجة إذا سلمت المخرجات أو خلل في المدخلات أو المعالجة أو المدخلات والمعالجة إذا أصاب البناء أو الأساس خلل نفعي أو انهيار Input processing output
Introduction • INPUT: Representation of mathematical model • INPUT: Representation of earthquake loadings • PROCESSING: Representation of mass and stiffness properties: analogical models • PROCESSING: Representation of mass and stiffness properties: anatomical models • OUTPUT: Models comparisons • OUTPUT: Conclusions • Further usage of concept • Reminder
Introduction • Fundamental lesson learned from earthquakes: • Necessity of correct matching between mathematical model and reality (input) Necessity of correct matching between earthquake loadings and method of analysis (processing)
Representation of Mathematical Model • Soil theory is based on assumption of rigid structures built on flexible foundations. • Structural theory is based on assumption of flexible structures built on rigid foundations.
Representation of Earthquake loadings: Methods of analysis: Time history: true dynamic analysis, all necessary modes of soil-structure model Response spectrum: one point dynamic analysis, all necessary modes of soil-structure model Equivalent lateral load: static analysis, one mode of structure model
basic assumptions of equivalent lateral load General assumptions: uniform distribution of mass and stiffness. Special assumptions: models used based on level of technology Representation of Earthquake loadings: Equivalent lateral load
a one-story flat plate reinforced concrete building subjected to earthquake loading in the x-direction..
the relative displacement output u* of a 1D model subjected to an earthquake M, K and ß are mass, stiffness and acceleration response spectrum (dynamic magnification factor) respectively Representation of mass and stiffness properties: analogical models
For simplicity assume 1D model composed of two springs in series. The combined stiffness K If Ksoil is much larger than Kstr then the combined stiffness K is equal to Kstr and separation between soil and structure is justified Representation of mass and stiffness properties: analogical models
Representation of mass and stiffness properties: analogical models: Substructuring concept: static reduction
Representation of mass and stiffness properties: analogical models Substructuring concept: static reduction
Representation of mass and stiffness properties: analogical models Substructuring concept: dynamic reduction
Representation of mass and stiffness properties: anatomical models
Conclusions -Neglecting soil structure interaction is reasonable if assumptions prevails like: • light structures in relatively stiff soil such as low rise buildings, structural assumptions prevails. • simple rigid retaining walls: foundation assumptions prevails. -The effect of soil structure interaction becomes important for heavy structures resting on relatively soft soils for example towers in a wadi (like wadi altufah) أَلَّا تَطْغَوْا فِي الْمِيزَانِ
Best structural shape to resist lateral loadings (wind, earthquake, …) is the pyramid shape. Such shape provides largest stiffness and smallest mass Worst structural shape to resist lateral loadings is the inverted pyramid shape. Such shape provides largest mass and smallest stiffness (لَكِنِ الَّذِينَ اتَّقَوْا رَبَّهُمْ لَهُمْ غُرَفٌ مِّن فَوْقِهَا غُرَفٌ مَّبْنِيَّةٌ)20/الزمر By the same philosophy, weakness in the soil increases mass and decreases stiffness, thus structure becomes vulnerable to earthquake loads. أَفَمَنْ أَسَّسَ بُنْيَانَهُ عَلَى تَقْوَى مِنَ اللَّهِ وَرِضْوَانٍ خَيْرٌ أَمْ مَنْ أَسَّسَ بُنْيَانَهُ عَلَى شَفَا جُرُفٍ هَارٍ فَانْهَارَ بِهِ فِي نَارِ جَهَنَّمَ وَاللَّهُ لَا يَهْدِي الْقَوْمَ الظَّالِمِينَ(109)التوبة Conclusions for further usage
Reminder تذكير تفاعل الأساس مع البناءبناء/بنيان/أساسقَدْ مَكَرَ الَّذِينَ مِنْ قَبْلِهِمْ فَأَتَى اللَّهُ بُنْيَانَهُمْ مِنَ الْقَوَاعِدِ فَخَرَّ عَلَيْهِمُ السَّقْفُ مِنْ فَوْقِهِمْ وَأَتَاهُمُ الْعَذَابُ مِنْ حَيْثُ لَا يَشْعُرُونَ(26)1927 النحلThank you for listening
Question • What is your opinion of a structure with basement wall on one side as a usual practice in Palestine?