02-02ChapGere.0008

02-02ChapGere.0008 - 5 133.7 in 5 11.14 ft A 5 (27,572) p 4...

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SECTION 2.3 Changes in Lengths under Nonuniform Conditions 87 F REE - BODY DIAGRAM OF SEGMENT DB OF CABLE © F horiz 5 0 T H 5 H B (Eq. 3) 5 qx (Eq. 4) T ENSILE FORCE T IN CABLE (Eq. 5) E LONGATION d d OF AN ELEMENT OF LENGTH ds (Eq. 6) 5 dx B 1 1 64 h 2 x 2 L 4 5 dx B 1 1 ¢ 8 hx L 2 2 ds 5 Ï ( dx ) 2 1 ( dy ) 2 5 dx B 1 1 ¢ dy dx 2 d d 5 Tds EA 5 qL 2 8 h B 1 1 64 h 2 x 2 L 4 T 5 Ï T H 2 1 T V 2 5 B ¢ qL 2 8 h 2 1 ( qx ) 2 T V 5 V B 2 q ¢ L 2 2 x 5 qL 2 2 qL 2 1 qx © F vert 5 0 Ê V B 2 T V 2 q ¢ L 2 2 x 5 0 5 qL 2 8 h (a) E LONGATION d OF CABLE AOB Substitute for T from Eq. (5) and for ds from Eq. (6): For both halves of cable: (Eq. 7) (b) G OLDEN G ATE B RIDGE CABLE L 5 4200 ft h 5 470 ft q 5 12,700 lb/ft E 5 28,800,000 psi 27,572 wires of diameter d 5 0.196 in. Substitute into Eq. (7): d
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Unformatted text preview: 5 133.7 in 5 11.14 ft A 5 (27,572) p 4 (0.196 in.) 2 5 831.90 in. 2 d 5 qL 3 8 hEA 1 1 16 h 2 3 L 2 d 5 2 EA # L / 2 qL 2 8 h 1 1 64 h 2 x 2 L 4 dx d 5 1 EA # qL 2 8 h 1 1 64 h 2 x 2 L 4 dx d 5 # d d 5 # T ds EA B L 2 q y x h D x x T H u 4 hx 2 L 2 4 hx 2 L 2 H B V B T T V D T T H u T V dy dx T T ds A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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