Roman Arch

Arch Static Force Analysis

A set of linear equations are developed to determine the frictional, fF, and compression, fC, forces acting at an arbitrary interface of a semicircular arch.

 

The simplified solution breaks the arch up into two components, super block 1 to the clockwise right of the interface and super block 2 to the counterclockwise left of the interface.  The center of mass for each super block is given by its radius, rG, angle, θG, and weight, wG.  The set of linear equations are written and the interface forces can thus be solved.

 

 

 

 

Supporting-Wall Static Force Analysis

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