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Innovative Proof for Elastic Flexure Formulas

Innovative Proof for Elastic Flexure Formulas

作     者:Hamed Jamshidi Pooya Djamshidi Sina Haji Saffar 

作者机构:The Department of Mechanical Engineering Islamic Azad University Parand Branch Tehran *** lran South Pars Gas Company (SPGC) Assaluyeh 75391/311 Iran The Alum of Mechanical Engineering Islamic Azad University Parand Branch Tehran *** Iran 

出 版 物:《Journal of Mechanics Engineering and Automation》 (机械工程与自动化(英文版))

年 卷 期:2013年第3卷第7期

页      面:424-427页

学科分类:07[理学] 08[工学] 0701[理学-数学] 070101[理学-基础数学] 080102[工学-固体力学] 0801[工学-力学(可授工学、理学学位)] 

主  题:Innovative proof elastic flexure formulas understand bending moment. 

摘      要:The basic problem in teaching mechanics of materials is that some subjects discussed in the reference books are not easy to understand for most of the students. Using experience of many years teaching mechanics of materials, we have been continuously trying to find easier methods to help the students get a better understanding of fundamental concepts. This effort and investigation has led to innovative and simple approaches to prove the equations much easier than the existing ones and also to clarify complicated concept. In this paper, we are offering our innovative proof for elastic flexure formulas as well as an interesting model for the moment sign convention in the cross section of a beam. In this method, considering a portion of a beam under pure bending and obtaining the stress distribution in the cross section and applying the balance of the considered portion, we prove the Elastic Flexure Formulas much easier than the existing methods. Emphasizing on deeper understanding, some notes and a new model are offered during this proof.

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