homework5-2010 - the strong column-weak beam requirements...

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University of Michigan Department of Civil and Environmental Engineering CEE – 615: Reinforced Concrete Members Winter 2010 Homework 5 Due: Tuesday April 20, 2010 Problem 1: The section below corresponds to the beam flexural design near the column faces in a multi-span frame located in a zone of high seismicity. The section moment-curvature response for both positive and negative bending is also shown. Determine: 1) Design beam shear force (assume w u (gravity load) = 3 kips/ft) 2) Transverse reinforcement required at the beam ends (show a cross section with stirrup layout and spacing) 3) Estimate of beam plastic hinge rotation capacity for positive and negative bending 4) Check that the column moment strength (see column cross section below) complies with
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Unformatted text preview: the strong column-weak beam requirements in Chapter 21 of ACI Code 5) Horizontal joint shear force demand 6) Transverse reinforcement required in both column and joint (show cross section and elevation view near the connection region) Typical frame span: 20’ 2.0’ 2.0’ L c = 10’ Beam section and moment-curvature response: 14” 22” 4 #8 17” 4 #8 6” b e = 36” 3 #5 2.5” 2.5” 1000 2000 3000 4000 5000 6000 500 1000 1500 2000 2500 3000 3500 Moment (kip-in) Curvature (10-6 rad/in) M neg M pos Column Section and longitudinal reinforcement: 12 #9 3” 3 @ 6” 24” 24”...
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