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On the theory and calculation of continuous bridges (1876)

Merriman, Mansfield, 1848-1925, Making of America Project · New York, D. Van Nostrand · leaf 53

An illustration from On the theory and calculation of continuous bridges, 1876, leaf 53
is m o, and intersecting in c the centerof curvature. Hence, drawing f g parallel to ab through o, the lines/V7, ge, etc.,denote the elongations and compressionsof the respective fibers, and we see fromthe figure that od:odr \\df: df or the change of length in the fibers isproportional to their… … Hence, by combining these two proportions, H : H ; I o d : o dror, the horizontal forces are directly pro- portional to their distances from theneutral axis. Therefore, if we denotethe distance of any fiber from the axisby 2 the strain upon it by H, the distance of the remotest fiber by e and…

Bridges · Girders, Continuous

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