On the Theory and Calculation of Continuous Bridges

abutments apices beam c₁ c₂ calculation centers of moments chord strains coefficient of elasticity column compression computation consider continuous bridges continuous girder continuous truss d₁ d₂ dead load deduced deflection determined diagonal elastic limits elastic line equal spans equation exterior forces feet forces or strains formulae four spans fraction hence horizontal inflection points internal forces iron l₂ left hand support linear unit live load lower chord M₂ maxima and minima maximum shears maximum strains ment moment of inertia Mr+1 multipliers neutral axis number of spans pieces port positive shear reactions second support shear and moment simple girder Simple truss single load single span tension theorem of three theory of flexure three moments tinuous girder tion tons ft triangles uniform load uniformly distributed upper chord values variable cross vertical weight Weyrauch wrought iron zero