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Reaction forces on a ladder leaning on a rough wall

 

作者: Alejandro G. González,   Julio Gratton,  

 

期刊: American Journal of Physics  (AIP Available online 1996)
卷期: Volume 64, issue 8  

页码: 1001-1005

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18317

 

出版商: American Association of Physics Teachers

 

关键词: STATIC LOADS;COMPRESSION;ELASTICITY;DEFORMATION;FRICTION;MECHANICAL STRUCTURES;EQUILIBRIUM;03.20

 

数据来源: AIP

 

摘要:

The determination of the reactions on a ladder is discussed including friction against the wall. In a recent article, this problem was studied considering elastic compression and it was argued that an additional condition holds that allows one to find all the reactions. We show that this condition is incorrect for typical ladders, when flexion is important. We clarify the issues of static determinacy by means of an analysis that takes into account both compression and flexion. We find that when the climber arrives at the top, the result depends on which deformation prevails. We conclude that the reactions can never be determined using only statics, because there is no way to ascertain which kind of deformation dominates, and so which limiting condition will be attained, if any.

 

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