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. 1915 Excerpt: ...A N dN We again choose the direction of the X-axis so that -j-r?------ This leads to a determination of the axis similar to that given above (page 41) for the hingeless arch. If the ordinates of the arch-points referred to a horizontal axis drawn through the crown-hinge are denoted by y', then (%-ds tan--J-L If the ...
Read More
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. 1915 Excerpt: ...A N dN We again choose the direction of the X-axis so that -j-r?------ This leads to a determination of the axis similar to that given above (page 41) for the hingeless arch. If the ordinates of the arch-points referred to a horizontal axis drawn through the crown-hinge are denoted by y', then (%-ds tan--J-L If the hinge lies in the vertical passing through the center of i IX gravity of the elastic weights yds, so that I-ds = o, then the direction of the X-axis coincides with that of the hingeless arch. In these expressions, the integrals in the denominators are supposed to extend over the entire length of the arch. If the external loading consists of a single concentration G at a distance c from the crown, the numerators of the above expressions become Jc I Jc /-cos0 Jc / Jc i-cosf and the definite integrals of Eqs. (53) can again be represented as the static moments of the weights applied as loads along the axis of the arch. For the vertical action of the loads w (or of the concentrations W derived from them by Eq. (36)) we construct the funicular polygon Fig. 25(6), and for the horizontal action the funicular polygon Fig. 25(c). The latter, by its intercept on the axis of abscissas, inator of the expression for H. If the length mm2 is taken as representing the load G, then the ordinate z of the funicular polygon (b) under the point of loading represents the corresponding value of the horizontal thrust H. Similarly, the ordinate z' of the funicular polygon of the loads w' (or W), measured under the point of loading, represents the value of V if the distance nno is taken for the load G. The curves (b) and (d) therefore constitute the influence lines for H and V. The vertical reaction at the left end of the span, for a load located on the left ha...
Read Less
Add this copy of Plain and Reinforced Concrete Arches to cart. $16.27, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of Plain and Reinforced Concrete Arches to cart. $27.44, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
