Theory of Arches And Suspension Bridges

Cover Theory of Arches And Suspension Bridges
Theory of Arches And Suspension Bridges
J Josef Melan
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. . (244.
The horizontal deflection of the crown is found to be a max- imum for A = ^-; we then obtain max. (Aa;e)=9^^ (245.
The maximum uplift of the crown occurs approximately when the first and last thirds of the span are loaded ; we then obtain 37 pi' _pf{3l-+Sf) max. (A (/c)^ . . (246.
116, 640 EI 216 E A f The maximum downward deflection at the crown, which occurs approximately when the middle third of the span is loaded, is found to be . 37 pi', 5 ijr-(3r-+8f-) max. (^— A i/c ; — -fiQ^-^
...Q -^j -r gg4 ^^ ^. = (247.
120 Arches and Suspension Bridges, 2. ARCHED RIB WITH END HINGES.
§ 17. Determination of the Horizontal Thrust.
1. General Case. By equations (187) to (192), putting both of the end moments 31^ and Mo equal to zero, the external forces may be determined as soon as the horizontal force H is known. To determine the latter it is necessary to consider the elastic deformations. The appropriate equation of condition may be developed from the Principle of Virtual Work, or it may be derived directly from equ.


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