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area moment method Area-Moment Method Beam Deflection beam due beam of uniform Bridge Engineering Castigliano Chapter concentrated loads Conjugate Beam Method constant continuous beams Continuous Girders deflection due deflection is desired deflection of beams Deflective Curve Deformeter determining the deflection displacement double integration method due to shear Dummy Unit Loading edition elastic curve elastic line Engineering News-Record equal equation Euler flexural Franklin Institute given beam gives graphical methods harmonic analysis Influence Lines Institute of Steel integrated curve loaded beam maximum Mechanics of Materials modulus Mohr moments of inertia ordinate Parcel and Maney plate girders point of application polygon principle of superposition problems Professor ratio reactions shearing deflection shearing stress simple beam simply supported slope and deflection Slope Deviation Method solution span Statically Indeterminate Stresses stiffness Strength of Materials student Swain swing bridges textbooks Theory of Elastic Theory of Structures tion trusses uniform section uniform strength writes