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Equalization (proof) : ウィキペディア英語版
Equalization (proof)

Equalization is a mathematical analysis of static load-sharing (also called load-distributing) 2-point anchor systems.
==Derivation==
Consider the node, where the two anchor legs join with the main line. At this node, the sum of all forces in the x-direction must equal zero since the system is in mechanical equilibrium.


:F_=F_ \,
:F_Sin(\alpha )=F_2Sin(\beta ) \,




The net force in the y-direction must also sum to zero.


:F_+F_=F_ \,




Substitute F_ from equation () into equation () and factor out F_.


:F_2\fracCos(\alpha )+F_2Cos(\beta )=F_ \,
:F_2\left (trigonometric identity to simplify more and arrive at our final solution for F_.




Then use F_2 from equation () and substitute into () to solve for F_1
:F_=F_\frac\frac \,



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