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Register a new userGeneral Formulation of the Definition Relations wth the Elastic Curve’s Unknowns for Beams
الصياغة العامة لعلاقات التعريف بمجاهيل الخط المرن للجيزان
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أكرم صقور( باحث )
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استكشف العلماء و الباحثون خلال عقود مضت طرقاً و صيغاً متعددة تحليلية و تخطيطية للتعريف بمجاهيل الخط المرن للجيزان، و من أبرزها المعادلة التفاضلية و طريقتا مور و برس. لقد تبيّن لنا أنّ أغلب هذه الطرق قد تطابقت في صيغها النهائية، بينما اختلفت، فقط، في المنهجية التحليلية لاشتقاق هذه الصيغ المطلوبة باعتماد مقدماتها على مفاهيم فيزيائية و تعابير رياضية متباينة. يتضمن جوهر هذا العمل العلمي الاستعراض المقتضب لأغلب طرق و صيغ التعريف بمجاهيل الخط المرن، و بلورة صياغة هذه الطرق التحليلية و التخطيطية في صيغ جامعة و مبسطة وفقاً لمنهجية الباحث التحليلية المعتمدة. الأمر الذي يغني العمل الأكاديمي من جهة، و يساعد المحلل الإنشائي في اختيار وسيلة التحليل الأنسب للتعريف بمجاهيل الخط المرن للجملة المدروسة من جهة ثانية.
Through the last centuries Scientists and Researchers have created analytic and geographic multi-methods and formulas for the definition of elastic curve’s unknowns of beams. We have seen that most of these methods had matched in their end formulas, while they only differed by the analytic basis for the differentiating of these formulas, that their introductions depended on different physic expressions and mathematic relations. This scientific work contains a concise preview for the definition relations and methods of elastic Curve’s unknowns of beams available, so that the expression about these in an easy and collective expression with agreement of the depended analytic method by the Researcher. That can avail of the academic job on the first hand, and it helps the structural analyzer choose the proper and easier device for his structural analysis for the definition of elastic Curve’s unknowns of studied structural system.
References used
COURBON, J. – Resistance de matériaucs, Dunod- Paris,1971
DREYER, G. – Festigkeitslehre und Elastizitatslehre,Fachbuchv. GMBH- Leipzig 1952
HIBBELER, R. – Structural Analysis, 6. Edition: Printice/Hall International, Inc. 2006
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