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Chapter 6. Compression Reinforcement - Flexural Members

Chapter 6. Compression Reinforcement - Flexural Members If a beam cross section is limited because of architectural or other considerations, it may hap- pen that the concrete cannot develop the Compression force required to resist the give bending mo- ment. In this case, reinforcing is added in the Compression zone, resulting in a so-called doubly rein- forced beam, , one with Compression as well as tension Reinforcement . Compression reinforced is also used to improve serviceability, improve long term deflections, and to provide support for stir- rups throughout the beam. Reading Assignment: Text Section ; ACI 318, Sections: , , and Strength Calculations u = c . Cs A's s . a b = 1c b Cc d' cb h d A bs d-c b h-c b T bs b s = y strains stresses forces From geometry we can find the strain in Compression steel at failure as: s = c . c d ( ). CIVL 4135 118 Compression Reinforcement Nominal Resisting Moment When Compression Steel Yields d'.

CIVL 4135 123 Compression Reinforcement Calculate forces: C c = 40.8×(6.31 in) = 258 kips C s = 3.8×(52.5ksi) = 200 kips T s = (7.62 in2) ×(60ksi) = 457 kips M n =C c d − β 1 c 2 +C s(d −d′) 258+200=458 Equilibrium is satisfied Take moment about tension reinforcement to determine the nominal moment capacity of the section:

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