01-01ChapGere.0007

01-01ChapGere.0007 - E QUILIBRIUM T V(12 ft 2(9000 lb(16 ft...

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Solution 1.2-9 Loading crane with girder and cable SECTION 1.2 Normal Stress and Strain 7 Problem 1.2-9 A loading crane consisting of a steel girder ABC supported by a cable BD is subjected to a load P (see figure). The cable has an effective cross-sectional area A 5 0.471 in 2 . The dimensions of the crane are H 5 9 ft, L 1 5 12 ft, and L 2 5 4 ft. (a) If the load P 5 9000 lb, what is the average tensile stress in the cable? (b) If the cable stretches by 0.382 in., what is the average strain? D H C P B A Girder Cable L 2 L 1 T 5 tensile force in cable P 5 9000 lb D H C P = 9000 lb B A L 2 L 1 C P = 9000 lb B A 12 ft 4 ft T H T T V H 5 9ft L 1 5 12 ft L 2 5 4ft A 5 effective area of cable A 5 0.471 in. 2 P 5 9000 lb F REE - BODY DIAGRAM OF GIRDER
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Unformatted text preview: E QUILIBRIUM T V (12 ft) 2 (9000 lb)(16 ft) 5 T V 5 12,000 lb 5 16,000 lb T ENSILE FORCE IN CABLE 5 20,000 lb (a) A VERAGE TENSILE STRESS IN CABLE (b) A VERAGE STRAIN IN CABLE d 5 stretch of cable d 5 0.382 in. e 5 d L 5 0.382 in. (15 ft)(12 in. / ft) 5 2120 3 10 2 6 L 5 length of cable Ê L 5 Ï H 2 1 L 1 2 5 15 ft s 5 T A 5 20,000 lb 0.471 in. 2 5 42,500 psi T 5 Ï T H 2 1 T V 2 5 Ï (16,000 lb) 2 1 (12,000 lb) 2 T H 5 (12,000 lb) ¢ 12 9 ≤ ∴ T H 5 T V ¢ 12 9 ≤ T H T V 5 L 1 H 5 12 ft 9 ft © M A 5 ` ~ A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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