This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 Excerpt: ...applied, is always fixed in position. Art. 3.--Moments in Three-hinged Arches. The graphic determination of the reactions of a threehinged arch, as found in the previous article, is not as simple as the analytic determination, and hence the treatment of a three-hinged arch by the combination of algebraic and graphic ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 Excerpt: ...applied, is always fixed in position. Art. 3.--Moments in Three-hinged Arches. The graphic determination of the reactions of a threehinged arch, as found in the previous article, is not as simple as the analytic determination, and hence the treatment of a three-hinged arch by the combination of algebraic and graphic methods is more convenient than by the graphic process alone. The application of influence lines to these structures is of distinct value, since by their aid the positions of loading causing maximum stresses in the various members may be at once determined. For this class of structure, the use of wheel-load concentrations constitutes, however, unnecessary refinement and such loading will not be considered in detail. It is sufficient to state again that if the influence lines for stresses have been drawn for a unit load P, the maximum stress caused by any series of concentrations may be easily determined by trial. The general value of the stress for a series of loads would then be represented by IP. n, where P represents the value of the load at any point and n the corresponding ordinate. Before considering influence lines for three-hinged arches it will be necessary to obtain a general expression for the bending moment at any section of a three-hinged arch for any system of loading. Let Fig. 5 represent an arch hinged at the points A, B, and C, and let the bending moment at the point X be required. The reactions R and Ri may be found by means of the funicular polygon, their values corresponding respectively to the rays 1 and 7 in the force diagram. The horizontal and vertical components of these reactions are represented by H, V, and Vi respectively. Taking moments of all the left-hand external forces about X, the general expression for M become...
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
