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The theory of the Ellipse of Elasticity
Analysis of a Continuous arch system
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analytical geometry angle antipolar antipole arch A3 arch and pier arch element arch rib assuming unyielding supports center of rotation central ellipse combined arch combined system computed conjugate continuous arches coordinates coscx crown of arch determine the central diameter ds centers due to H due to loads elastic center due elastic piers elastic weight system ellipse of arch ellipse of elasticity following influence lines force H force V^p forces acting given in Table horizontal movement influence tables ISA sec left springing line MN line of action loads on arch Location method modulus of elasticity Moments and products Moments and Thrust moments of inertia movement due movement of point o'a and o'a principal axes product of inertia quarter point rectangular axes resultant center resultant force right springing rigid bracket rigidly connected semi-major shear sin2c span Substituting the values symmetrical arch taking moments talcing vertical movement