01-01ChapGere.0009

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Solution 1.2-11 Reinforced concrete slab supported by four cables SECTION 1.2 Normal Stress and Strain 9 H 5 height of hook above slab L 5 length of side of square slab t 5 thickness of slab g 5 weight density of reinforced concrete W 5 weight of slab 5 g L 2 t D 5 length of diagonal of slab D IMENSIONS OF CABLE AB 5 L Ï 2 Cable B L L A W H t TT A W T H T T V B A H L AB D 2 L 2 = L AB 5 length of cable 5 B H 2 1 L 2 2 T 5 tensile force in a cable Cable AB : (Eq. 1) E QUILIBRIUM S F vert 5 0 1 2 W 2 4 T V 5 0 (Eq. 2) C OMBINE E QS . (1) & (2): T ENSILE STRESS IN A CABLE A 5 effective cross-sectional area of a cable S UBSTITUTE NUMERICAL VALUES AND OBTAIN s t : H 5 5.0 ft L 5 8.0 ft t 5 9.0 in. 5 0.75 ft g 5 150 lb/ft 3 A 5 0.12 in. 2 W 5 g L 2 t 5 7200 lb s t 5 W 4 A Ï 1 1 L 2 / 2 H 2 5 22,600 psi s t 5 T A 5 W 4 A Ï 1 1 L 2 / 2 H 2 T 5 W 4 Ï H 2 1 L 2 / 2 H 5 W 4 Ï 1 1 L 2 / 2 H 2 T ¢ H Ï H 2 1 L 2 / 2 5 W 4 T V 5 W 4 T V 5 T ¢ H Ï H 2 1 L 2
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