. American engineer . m section begins and continues a uni-form section to the corresponding point on the opposite side ofthe mid-span. The -p:- curve is now complete; note that it keepswithin a safe margin below the ,- curve. It is very irregular because the girder for constructive reasons is only an approxi-mation to the uniform strength, the vertical steps being causedby the sudden addition to the various sections. In designating points where reinforcement begins as theoret-ical, it is understood that sufficient plate and angles must be addedbeyond these points to relieve the continuous por
. American engineer . m section begins and continues a uni-form section to the corresponding point on the opposite side ofthe mid-span. The -p:- curve is now complete; note that it keepswithin a safe margin below the ,- curve. It is very irregular because the girder for constructive reasons is only an approxi-mation to the uniform strength, the vertical steps being causedby the sudden addition to the various sections. In designating points where reinforcement begins as theoret-ical, it is understood that sufficient plate and angles must be addedbeyond these points to relieve the continuous portion of theflange area and assure the distribution pf the stress. DEFLECTION AT ANY POINT ALONG THE BEAM. In investigating the deflection of beams of uniform section, orwhere E and / are constant, it will be apparent that the area ofthe bending moment diagram between two points on a beam isproportional to the difference in inclination between the tangentsto the elastic curve at these two points; and from a point where. (InJ*^;n. 4r3xflFig. 9—Section at M, Corresponding to Curve 4, Fig. 2. the tangent to the elastic curve is horizontal to any other pointthe area of the bending moment diagram between them is propor-tional to the actual inclination of the tangent at the second point;taking account, of course, of the signs of the areas. Or moregenerally expressed, the same kind of relation exists betweenthe bending moment diagram and the elastic curve of deflection,as between a diagram of the load and the curve of taking the origin of moments at support distance / from h-—5--^-—-
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectrailroa, bookyear1912
