Design of a domed structure for athletic events . he value of 9 per-taining to the voussoir just above it. Thus, for the secondvoussoir, 9- ?l, but the total horizontal thrusts exertedat c, and c^ are nand If we conceive that in a dome any particular point may heon as many separate syinmetrically loaded arches of varying spanand radii as can be cut by planes of great and small circles ofthe sphere passing through it, and consider that the haunchesof one may become the crown of another,*we must realize that L -13- there is uncertainty regarding the bulging stresses, particular-
Design of a domed structure for athletic events . he value of 9 per-taining to the voussoir just above it. Thus, for the secondvoussoir, 9- ?l, but the total horizontal thrusts exertedat c, and c^ are nand If we conceive that in a dome any particular point may heon as many separate syinmetrically loaded arches of varying spanand radii as can be cut by planes of great and small circles ofthe sphere passing through it, and consider that the haunchesof one may become the crown of another,*we must realize that L -13- there is uncertainty regarding the bulging stresses, particular-ly in the upper zones; and it is reasonable to believe that theyneutralize each other to a far greater extent than is indicatedby the stress diagram of the forces acting in meridional andhorizontal planes only. A second method for obtaining the stresses that would givepractically the same results is that used by the famous Schwedler,The interpretation of results is not so clear and is not selfevident from the construction of the diagram. \\\ 1 ). The loads are calculated exactly as in the previous case andplotted; then with this load line as a radius, the center lineof the curve is described. At the successive points on the loadline horizontals are drawn until they intersect the curve. Ateach of these points draw vertical vAp , drawxrr^at right . Bring down with>^as a center to the horizontal throughx.,rT^^ then vertically down until it intersectsx^oat I . Bringup to this same radiusxo, a center, the height l7r>ir^, i f whence the meridional thrust -sxcj^and the horizontal thrust orpull Ic^. In the solution, the diarrara will be as shown in the figureon the right. The heavy lines represent the horizontal stresses;the total length of lines, t: ^le^.^idional thrusts. Suppose now pendentives istituted a part of a second domeand supported a full hemishpf - leal dome as shovvn:
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Keywords: ., bookcentury1900, bookdecade1910, booksubjecttheses, bookyear1910
