CEE461_HomeworkSet3_01302019.pdf - CEE461 – Reinforced...

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CEE461 – Reinforced Concrete I University of Illinois at Urbana-Champaign Gurfinkel and Asem Spring 2019 Name:____________________________ © 2019 1 Homework Set 3 Follow Homework Assignment requirements in the Syllabus. Due date: Thursday, February 7, 2019 Moment-Curvature (M- f ) Variation and Ductility ( μ ) For the given reinforced concrete (RC) flanged section, do the following: Figure 1 Reinforced concrete flanged section subjected to positive bending (i.e., tension in the bottom). Note that t f = flange thickness, b f = flange width and b w = web width. Stirrups and compression reinforcement are not shown for clarity. h = 24 in t f = 6 in d = 20.08 in b w = 12 in b f = 24 in 5 #9 bars total, Gr. 60 (f y = 60 ksi) f ' c = 4000 psi CG 2.5 in 1 in
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CEE461 – Reinforced Concrete I University of Illinois at Urbana-Champaign Gurfinkel and Asem Spring 2019 © 2019 2 Problem 1. Find conditions at initial yielding of steel (i.e., M y and f y ) for the RC section shown in Figure 1 by assuming a linear concrete stress distribution. Check if s c,max < 0.75 ´ f c , where s c,max is the stress at the uppermost concrete fiber. If this condition does not hold, recognize that
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