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Analysis of a dome

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Title: Analysis of a dome


I am in the process of designing a headwall at the end of a tunnel.  The wall will have no reinforcement.  Although cracking will occur at the tensile face, the wall will be thick enough so that it acts as a dome. 

I need to do some calculations to show that the wall will work, however I don't want to use FEM software.  Are there any quick method of doing this calculations?

I thought of taking sections and using a truss with 3 hinges, but that may be too simple.

John Yao

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