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lab1sol - UNIVERSITY OF CALIFORNIA BERKELEY Department of...

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UNIVERSITY OF CALIFORNIA, BERKELEY Instructor: Khalid M. Mosalam Department of Civil and Environmental Engineering CE123: Design of RC Structures Structural Engineering, Mechanics and Material (SEMM) Spring Semester, 2009 CEE 123 Laboratory Project No. 1 (Solution) Given: Tributary width of a typical beam ABCD = 10 ft Uniform dead load W D = 100 psf x 10 ft = 1000 plf = 1 klf Uniform live load W L = 200 psf x 10 ft = 2000 plf = 2 klf Concentrated live load P L = 10 k Find: a) Maximum factored moment M u at point B and point C b) Minimum required nominal moment strength M n at point B and point C Design Method: ACI 318 Strength Design Method (LRFD) Factored Design Load Reduced Nominal Strength M u Φ M n ∑α i M i Φ M n Load Combination ∑α i M i 1.4 M D 1.2 M D +1.6M L Strength Reduction Factor Φ = 0.9 for Flexure a) Find maximum factored moment M u 1) Use influence line to determine placement of P L and W L “An influence line is a diagram whose ordinates, which are plotted as a function of distance along the span, give the value of an internal force, a reaction, or a displacement at a particular point in a structure as a unit load of 1 kip moves across the structure”. (Leet-Uang, Fundamental of structural Analysis).
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