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aecb assumption bending moment due CCM"m'ds Compute factor computing deflections due computing the deflections CORNELL UNIVERSITY crown hinge crown movement deflection is sought Deflections of Steel Deflections of Three-Hinged DOCTOR OF PHILOSOPHY due to axial due to H due to horizontal due to negative due to positive due to thrust elastic loads elastic moments end section equation FLANGE AREA full load hingeless arch HORIZONTAL DEFLECTION DUE horizontal loads inertia Influence of crown left leaf load unity Maxwell's law method of computing method of elastic method of stress Mmds movement on account negative bending panel loads partial load positive bending preliminary design quarter points reciprocal deflections represent the deflection Ribs with Three simple beam simple ratio sinQ square inches Steel Arch Ribs stiffness stress computation strut TABLE Load three-hinged arch total deflection two-hinged arch unity applied varies as sec VERTICAL DEFLECTION DUE VERTICAL LOAD writer zero