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Assignment_8_SOLUTION_due_11_5_09

Assignment_8_SOLUTION_due_11_5_09 - Name_SOLUTION CE 441...

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Name: _ _SOLUTION _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ CE 441 Reinforced Concrete Design – Assignment 8 Due Thursday November 5, 2009 Notes: The modulus of elasticity of normal weight concrete is given by E c =57,000 ' c f (psi) according to ACI 8.5.1. The modulus of rupture f r =7.5 ' c f (psi) as specified by ACI 9.5.2.3. The effective moment of inertia of a beam is given by ACI 9.5.2.3 as cr a cr g a cr e I M M I M M I - + = 3 3 1 . The cracking moment is M cr = f r I g / y t where y t is the distance from centroid of the gross section to the location of maximum tension in concrete. The center deflection of a simply supported beam of span length L under uniformly distributed load w is Δ max =5 wL 4 /(384 EI ). 1. A concrete beam is used for a 25-ft simple span. It has a rectangular section of width b =15 in. and has only tension reinforcement with an effective depth d =20 in., total depth h =23 in., f c '=3,500 psi, f y =60,000 psi, A s =3 no. 10 bars in one row. Determine the location of the neutral axis kd for the cracked section (stresses linear). Calculate the gross section moment of inertia I g , the cracking moment M cr . Compute the cracked
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