The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . /pl. The shear at C is reaction at B lessload at E, that is, p{xi+n)^]lpl,which is the equation tothe line DH (fig. 54).Clearly, the distributionof the load by the railgirder considerably altersthe distribution of sheardue to a load in the bayin which the section con-sidered lies. The totalshear due to a series ofloads Pi, P2, . . at dis-tances mi, mi, . . fromthe left abutment, 311,3/2,.. .being the ordinatesof the influence curve under the loads, is S = Pi3i-FP232-f- . .Generally, the greatest s
![The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . /pl. The shear at C is reaction at B lessload at E, that is, p{xi+n)^]lpl,which is the equation tothe line DH (fig. 54).Clearly, the distributionof the load by the railgirder considerably altersthe distribution of sheardue to a load in the bayin which the section con-sidered lies. The totalshear due to a series ofloads Pi, P2, . . at dis-tances mi, mi, . . fromthe left abutment, 311,3/2,.. .being the ordinatesof the influence curve under the loads, is S = Pi3i-FP232-f- . .Generally, the greatest s Stock Photo](https://c8.alamy.com/comp/2ANDC97/the-encyclopdia-britannica-a-dictionary-of-arts-sciences-literature-and-general-information-pl-the-shear-at-c-is-reaction-at-b-lessload-at-e-that-is-pxin-lplwhich-is-the-equation-tothe-line-dh-fig-54clearly-the-distributionof-the-load-by-the-railgirder-considerably-altersthe-distribution-of-sheardue-to-a-load-in-the-bayin-which-the-section-con-sidered-lies-the-totalshear-due-to-a-series-ofloads-pi-p2-at-dis-tances-mi-mi-fromthe-left-abutment-31132-being-the-ordinatesof-the-influence-curve-under-the-loads-is-s-=-pi3i-fp232-f-generally-the-greatest-s-2ANDC97.jpg)
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The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . /pl. The shear at C is reaction at B lessload at E, that is, p{xi+n)^]lpl, which is the equation tothe line DH (fig. 54).Clearly, the distributionof the load by the railgirder considerably altersthe distribution of sheardue to a load in the bayin which the section con-sidered lies. The totalshear due to a series ofloads Pi, P2, . . at dis-tances mi, mi, . . fromthe left abutment, 311, 3/2, .. .being the ordinatesof the influence curve under the loads, is S = Pi3i-FP232-f- . .Generally, the greatest shear S at C will occur when the longer of thesegments into which C divides the girder is fully loaded and theother is unloaded, the leading load being at C. If the loads are veryunequal or unequally spaced, a trial or two will determine whichposition gives the greatest value of S. The greatest shear at C ofthe opposite sign to that due to the loading of the longer segment. occurs with the shorter segment loaded. For a uniformly distributedload w per ft. run the shear at C is a;X the area of the influence curveunder the segment covered by the load, attention being paid to thesign of the area of the curve. If the load rests directly on the maingi?der, the greatest + and - shears at C will be wXAGC and-roXCHB But if the load is distributed to the bracing inter-sections by rail and cross girders, then the shear at C will be greatestwhen the load extends to N, and will have the values roXADN and ~^An interesting paper by F. C. Lea, dealing with the determinationof stress due to concentrated loads, by the method of influence lineswill be found in Proc. Inst. C.E. cbci. P-261. Influence lines were described by Frankel, Der dvikngemeur, 1876. See also Handbuch der Ingenieur-wissenschajten, vol. u. ch.X. (1882), and Levy, La Statigue graphigue (1886). There is a usefulpaper by Prof. G. F. Swain {Trans. Am. Soc. C.E. xvu., 1887), and another by L. M. Hoskins {.Proc