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25 loge 2C2 loge 32a then become abutment arbitrary function arch deflections assumption auxiliary constants central angle common theory constants are h constants of integration CREEK TEST DAM crown and springing crown of arch Crown Springing Int Curved beam theory cylindrical surfaces dr dr2 drz dr dx dy dz extrados give the stresses initial stresses masonry modulus of shearing multiple arch dam normal pressure normal stress normal unit pressure PATHFINDER DAM—MODIFIED SECTION Poisson's ratio problem produce rotation r d<p dz R2 Principal Stresses radial plane radial section radius respectively ring formula gives shearing stress show the stresses springing of arch stants STEVENSON CREEK TEST stress distribution Stresses at crown Stresses at springing stresses on radial structure Table VII tangent tangential unit stresses Temperature Stresses tends to produce tensile stresses tension theory of curved theory of elasticity thickness tion trados transverse section unit stresses tending Young's modulus zero