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An L-shaped reinforced concrete slab 12 ft times 12 ft (but with a 6 ft times 6

ID: 1823443 • Letter: A

Question


An L-shaped reinforced concrete slab 12 ft times 12 ft (but with a 6 ft times 6 It cut-out) and thickness t = 9.0 in, is lifted by three cables attached at O, B and D, as shown in the figure. The cables are Combined at point Q. which is 7.0 ft above the top of the slab and directly above the center of mass at C. Each cable has an effective cross-sectional area of At = 0.12 in.2. Find the tensile force T1 (i = 1,2,3) in each cable due to the weight W of the concrete slab (ignore weight of cables). Find the average sties sigma 1 in each cable. (See Table I-1 in Appendix I for the weight density of reinforced concrete.) Add cable AQ so that QQA is one continuous cable, with each segment having force T1, which is connected to cables BQ and DQ at point Q. Repeat parts (a) and (b). (Hint: There are now three force equilibrium equations and one constraint equation, T1 = T2)

Explanation / Answer

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