Assignment_9_SOLUTION_Nov_12_09

# Assignment_9_SOLUTION_Nov_12_09 - s ’ Draw the strength...

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Name: _ SOLUTION _ _ _ _ _ _ CE 441 Reinforced Concrete Design – Assignment 9 Due Thursday November 12, 2009 For the 15-inch by 20-inch tied column of Workshop 5, verify from the posted solution the compressive strength under concentric load P n =0.8P o = _ _ _ _ _ _ k, the balanced failure eccentricity e b = _ _ _ _ _ _ in, the corresponding axial compression load P nb = _ _ _ _ _ _ k, and the balanced failure bending moment M nb = _ _ _ _ _ _ k-in., then review the posted notes of Lecture 13 from Nov. 3, 2009 and compute (a) the axial compression load P n , and the bending moment M n corresponding to an eccentricity of e = 2 e b . (b) the axial compression load P n , and the bending moment M n corresponding to an eccentricity of e=0.5 e b . (c) Compute eccentricity e corresponding to P n =0.8 P o (i.e. minimum eccentricity according to ACI 10.3.6). (d) Compute the flexural strength M n without the presence of any axial force P n (i.e. e = ; using beam analysis with A

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Unformatted text preview: s ’). Draw the strength interaction diagram in the P n –M n coordinate system as shown in the figure by plotting points corresponding to ( i ) case (d), ( ii ) e=2e b , ( iii ) e=e b , ( iv ) e=0.5 e b , ( v ) case (c) and ( vi ) M n =0 (i.e. concentric load). Join these points sequentially using straight lines as shown. For each point determine the strength reduction factor Φ and determine Φ P n and Φ M n and also plot these paired values Φ P n , Φ M n to obtain the design interaction diagram by connecting them with straight dashed lines. The material properties are f c '=4 ksi, f y =60 ksi. The column has four # 11 bars that are arranged as shown. cross-section M n ,P n strength interaction diagram and Φ M n , Φ P n design interaction diagram to be drawn and points labeled with the appropriate values of M n ,P n .and Φ M n , Φ P n . Strength and Design Interaction Diagrams for a Beam-Column...
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Assignment_9_SOLUTION_Nov_12_09 - s ’ Draw the strength...

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