Calcul des ponts metalliques by G. PIARRON DE MONDESIR

By G. PIARRON DE MONDESIR

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Et moments de rupture maxima et minima ' 6 seront PONTS l\1ÉTALLIQUES 42 HYPOTHÈSE N° P = P, = . Pt = 2. 00; A POUTRES DROITES. Équation de la deuxième travée. . R . . 00. 00; 1\1a- 172,363 M5399,450 d2y e = dx2 189,012 Abscissesdespointsd'inflexion. . . . 375; Abscisse de l'axe de la parabole des moments. Abscisses des points d'inflexion. 00; . . . ,. 332; d2y . . . . edxi=172,363~48,960x+ . 00. 285; . = Moment de rupture sur la deuxième pile. . . ~ i',= MOMENT NÉGATIF MAXIMUM.

I =4 .. .. .. .. .. -. .. .. .. ' .. - .. .. . [+(Àn-I . +6n-,)P +Àn-2PI + Àn-3P2 + -3Pn-2 .. .. .. .. ", + Pn-j -" .. .. + 46n-;-IR]. (n) PO:';TS l\IÈTALLIQUES 25 A POUTRES DROITES. CHAPITRE II. ~~oo-- DISqUSSION DES FORMULES GÉNÉRALES DONNÉES AU CHAPITRE PREMIER. VIL Principes généraux qui dérivent des formules. - Si l'on se reporte à la formule(G), qui donne la valeur de la réaction sur la culée gauche d'un pont métallique de n + 1 travées, on reconnaîtra (ie suite que tous les indices pairs de P sont affectés du .

4' TfiA>VÜ. ~f, n. ::. ;,,~, ;-1 ""'''-',', \. / //, ~~~---~\»<7( \;/ ,\;/ / '\ / 'y"" / . \. ;/ \~,-~'f-'v-,--~=~~:===-~=::::~-~:--~~-/~~\_/::\ \ Axe , lies' x. Les deux arcs de la courbe n" 1, ainsi que les deux arcs accolés et donnés par les PONTS ilIÉTALLIQUES A POUTRES DROITES. 31 hypothèses nOS5 et 6, n'entreront pas généralement dans le tracé de la courbe enveloppe (voir l'éppre du pont symétrique de onze travées, planche 1). Dans la pluparÎdes cas la courbe enveloppe se composera des cinq arcs correspondants aux hypothèses nOS2, 5, 6, 5 bis et 6 bz's: II pourra même arriver, pour de grandes travées dont le poids permanent sera supérieur à sa surcharge, que les arcs des paraboles n° 5 bis et 6 bis se trouveront euxmêmes suppl'imés.

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