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Download e-book for iPad: Graphostatik und Festigkeitslehre: Für den Gebrauch an by Max Foerster

Posted On April 20, 2018 at 5:14 pm by / Comments Off on Download e-book for iPad: Graphostatik und Festigkeitslehre: Für den Gebrauch an by Max Foerster

By Max Foerster

ISBN-10: 3662427052

ISBN-13: 9783662427057

ISBN-10: 3662429829

ISBN-13: 9783662429822

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Extra resources for Graphostatik und Festigkeitslehre: Für den Gebrauch an Technischen Hochschulen und in der Praxis

Sample text

2(b, h , : b, k ,) (h, f h,) . - - - · -· -- · -- - = (hl 2 (h, h, + bl hl) ,~-. - - h ,) " '· z. b. \1, Die rechn. ErmiUI. v. Schwerpunkten, stat. Ylomenten u. Trägheitsmomenten. 29 es für die statischen Momente, bezogen auf die wagerechte Achse, ohne Bedeutung ist, ob das Rechteck F 2 die Lage in Fig. 42 oder 43 besitzt. Ist das Winkeleisen nicht symmetrisch, sind also seine beiden Flanschen verschieden lang, so ist auch die gleiche Beziehung für die y-Achse aufzustellen. Hier ergibt sich: b2 bl b 2 h~ 2 , x 0 F = x 0 (b 1 h1 -\- b2 h 2 ) = b1 h 1 2 + Xo = - h1 b'i 2(b1h1 + h bJ + b2h2) 2 - - --- Aus y 0 und x 0 folgt die Lage von S 0 • Bei symmetrischem Winkel sind beide Werte gleich; hier kann die Schwerpunktslage auch durch Konstruktion der die Winkel halbierenden Diagonal-Symmetrieachse nach Bestimmung des Wertes y0 gefunden werden (Fig.

Y l<' ig. 54. B ezeichnet man (Fig. 54) mit dem Ausdruck des pola r en Trägheitsmomentes des Querschnitts auf einen in der Ebene des Querschnitts gelegenen Punkt 0 bzw. Jv -j- Jx . vVä hlt man auch hier ein beliebiges anderes senkrechtes Achsensystem x' y' durch denselben Anfangspunkt, so gilt auch hier: r 2 = xi + yi , d . h. ,. · Durch Gleichsetzung der beiden Jp-vVerte folgt unmittelbar : J II +J X = J y ' -j- J x' ' 3* Die Grumhiige der J<'eRtigkeitslehre. rl. h. der Beweis der Richtigkeit cloH oben entwickelten Gesetzes auf einem anderen vVoge.

1,2. 111 -- - 8,8. 1,23 3~ 4 1 405 cm · ) -- = F. 2,94 2 = 405 - 22,6. 2,94 2 = 209 em 4 . Jx y = F 1 X1 Y1 + F2 X2 Y2 , worin 1\ und P 2 die Einzelteile des Quersehnitts, y x die Abstände der Schwerpunkte> dieser vom Gesamtschwerpunkt . des Winkels darstellen . 2 · 8,8 · 2,66 · 2,34 = rd. 124,13 cm 4 • Hieraus folgt: 2·124 ,1:3 0 = cx:;, d. h. = 4;) '' . tg2

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Graphostatik und Festigkeitslehre: Für den Gebrauch an Technischen Hochschulen und in der Praxis by Max Foerster


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