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Notes regarding reinforcement details. In the following problems, the reinforcement details are compressed to clarify the problem solutions. The reinforcement details are noted by the line: Reinforcement details Reinforcement is shown by bar size. Thus a No. 9 (No. 29) […]

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16.1. A cantilever retaining wall is to be designed with geometry as indicated in Fig. P16.1 . Backfill material will be well–drained gravel having unit weight w = 120 pcf, internal friction angle ϕ ‘ = 33 , and friction […]

1/2 Problem 17.5 A column transfers a factored load of 700 kips to a 9-ft square footing shown in Figure P17.5, resulting in a factored uniform soil pressure of 8640 psf. Design the footing reinforcement using strut-and-tie methods. Material strengths […]

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21.1 Determine the required embedment, hef, for a 5/8 in. diameter hex head bolt away from edges in 4000 psi cracked concrete with no supplemental reinforcement and carrying a sustained dead load of 6000 lbs, Figure P21.1. Given: fy= 36 […]

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3.1. A 16 × 20 in. column is made of the same concrete and reinforced with the same six No. 9 (No. 29) bars as the column in Examples 3.1 and 3.2, except t hat a steel with yield strength […]

7.5vf’c. f’c4000psi Es29000000psi 24“ 36″ 2‐½” Ec57000 f’cpsi3.605 106 psi b36in h24in Ig bh 3   typ a)f’c=4000psi 12 41472 in4 Mcr 7.5 f’cpsi Ig  h 2 1639 in kip Reinforcement details Calculation of transformed section n Es […]

2/2 fs0.60fy  fs36000 psi ρ As bd  ρ0.011kρn() 22ρn ρn k 0.325j1 k 3  j 0.892 a  a 3.84 in MnAsfy da     Mn440 ft kip 0.85f’cb 2   (e) Compute the […]

5.1 A rectangular beam secƟon is 10 in. wide and has a structural depth of 13.5 in. Given that the concrete strength is 4000 psi and there is no shear reinforcement in the secƟon, determine the nominal shear capacity allowed […]

6.1 through 6.6 (based on the beam in Fig. 4.15, Example 4.13, fy = 60 ksi) For the No. 6 bars: ( ) 2.5 in. 1.5 0.5 0.75 2 2.375 in. 10 2 1.5 0.5 0.75 2 2 2.625 in. […]

8.1. A rectangular beam is 16 in. wide and 29 in. deep. For c f′= 4000 psi and y f= 60,000 psi, determine the required spacing of No. 4 (No. 13) closed stirrups for a factored shear of 80 kips […]

9.15 Using the column interaction diagrams in Appendix A ( c f′= 4000 psi and y f= 60,000 psi) with ρt approximately equal to 2%, design square columns with equal reinforcement on all sides to carry each of the following […]