Elementary Theory and Calculation of Iron Bridges and Roofs

A₁ abutments axis beam bending braced arches bridge is fully calculations central span centre chains component considered curve dead load deflection equal equation of moments equilibrium evidently find the stress following equations fully loaded girder of Fig girder shown given in Fig gonals greatest stress h₁ h₂ half Hence hinge hinge-reaction horizontal bars kilos lattice girders live load load produces load Q loading boundary lower boom lower joints M₁ maximum method of moments millimetre minimum stress moment of inertia moving load negative obtained parabolic girder permanent load pier points of support positive ribs roof S₁ section line shown in Fig stress produced structure substituting suspension bridge taking moments temperature tons truss U₁ U₂ uniformly distributed unit of length unloaded upper joints V₁ max V₂ vertical forces vertical reaction weight X₁ Y₁ Y₂ Z₁ Z₂