HW%2010%20Solution - CE440l Fall 2009 Homework#10 Due...

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Unformatted text preview: CE440l Fall 2009 Homework #10 Due VVEDENSDAY Nov. 25 For all problems (for this homework and future homeworks) assume a #3 tie and max agg size of 3/ ” unless otherwise stated. You may make any other assumptions necessary, but be sure to state them in your solutions 1. Make a list of all the references you have seen in class or doing homework to the ACI code this list should include the classes through Monday Nov. 23 and this homework assignment. Include the code section, code page number, the topic, and a brief summary of what the code says in that section if possible ( i.e. if you can summarize it in a few words otherwise leave this column blank). Do not copy word for word out of the code. Please hand in your ENTIRE list (i.e‘back from HVVS) and indicate what is new on the list. 2. A floor is composed of T-sections of span length 30 ft. The unfactored dead load moment is lOO’k, the unfactored live load moment is 300’k. The section is made using 3ksi concrete and Grade 60 steel. There will be a NO. 3 tie used in this beam. The effective depth of the beam is 24” (as shown). a. Design the reinforcement for the beam shown. b. Verify that your beam has sufficient strength. 0. Forgetting about the moments listed above, what is the maximum area of steel that can be placed in this T-section and still have a resistance factor of 0.9? Keep the centroid of the bottom layer of steel at the same location as for your answer to part a. I le———— 48., ——-———9{ 9—16” H 3. For the cross section shown reinfoced with 4 No. 8 bars, fc’= 3 ksi, fF6O ksicalculate the following properties Assume interior exposure and a number 3 tie a) the gross moment of inertia lg b) the location of the neutral axis of the cracked 24” section and IGr W G G O 6 l C) Ieff for Ma 2 4. The cross section shown in problem 3 is for a simply supported span of 32 ft with uniformly distributed loads that cause maximum service moments of MDL = 51 ft—kips (includes self weight) and MLL = 128 ft—kips. Compute a) b) C) d) the immediate dead load deflection the immediate dead plus live load deflection the deflection occurring after partitions are installed. Assume that the partitions are installed 2 months after the shoring for the beam is removed and assume that 20 percent of the live load is sustained. What would the answer to part c be if the beam also had 2 No. 8 bars as compression reinforcement? 5 . For the beam in Problem 4, 9.097;» Compute the stress in the steel at full service load using the method of transformed sections. Compute the maximum bar spacing to satisfy flexural crack control (AC1 10.6) Does this beam satisfy the code? 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