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Structural Concrete - Hassoun

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Problems 419<br />

11.12 Repeat Problem 11.10 for Fig. 11.38.<br />

10 no. 10 bars<br />

11.13 Repeat Problem 11.11 for Fig. 11.39.<br />

Figure 11.38 Problem 11.12.<br />

12 no. 9 bars<br />

Figure 11.39 Problem 11.13.<br />

11.14 (Circular columns) Determine the load capacity, φP n , for the circular tied column sections shown in<br />

Figs. 11.36 through 11.39 when the eccentricity is e y = 6in.Usef c ′ = 4ksiandf y = 60 ksi.<br />

11.15 (Biaxial bending) Determine the load capacity, P n , for the column sections shown in Figs. 11.32 through<br />

11.35 if e y = 8in.ande x = 6 ini. using the Bresler reciprocal method. Use f c ′(4ksi) and f y = 60 ksi. For<br />

each problem the values of P nx , P ny , P n0<br />

(P bx , M bx ), and (P by , M by ) are as follows:<br />

a. Figure 11.32: 952 K, 835 K, 2168 K (571 K, 792 K ⋅ ft), (536 K, 483 K ⋅ ft).<br />

b. Figure 11.33: 930 K, 1108 K, 2505 K (577 K, 742 K ⋅ ft), (577 K, 742 K ⋅ ft).<br />

c. Figure 11.34: 558 K, 495 K, 1408 K (408 K, 414 K ⋅ ft), (368 K, 260 K ⋅ ft).<br />

d. Figure 11.35: 1093 K, 1145 K, 2538 K (718 K, 865 K ⋅ ft), (701 K, 699 K.ft).<br />

11.16 Repeat Problem 11.15 using the Parme method.<br />

11.17 Repeat Problem 11.15 using the Hsu method.<br />

11.18 For the column sections shown in Fig. 11.32, determine<br />

a. The uniaxial load capacities about the x and y axes, P nx and P ny using e y = 6in.ande x = 6in.<br />

b. The uniaxial balanced load and moment capacities about the x and y axes, P bx , P by , M bx ,andM by .<br />

c. The axial load, P n0<br />

.<br />

d. The biaxial load capacity P n when e y = e x = 6 in., using the Bresler reciprocal method, the Hsu<br />

method, or both.<br />

11.19 Repeat Problem 11.18 for Fig. 11.33.<br />

11.20 Repeat Problem 11.18 for Fig. 11.34.<br />

11.21 Repeat Problem 11.18 for Fig. 11.35.

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