Problem 4: Design a rectangular section for the beam, loads, and p values shown. Beam weights are not included in the given loads. Use h = main_span/8, and b = h/2 to get initial guess for self- weight (you will refine dimensions later using the design aids). When dealing with beams with more than one span, live loads are to be placed where they cause the most severe conditions within the section considered. Place the live load over the left span only in order to get the worst case positive moment in the 16 ft span. Then place the live load over the right span only in order to get the worst case negative moment in the 8 ft span. Use the larger of the two M₁ values to finalize beam dimensions (b, h, d, which are the same for both spans). Now design the tension steel for each of the two sections separately (using that span's own Mụ). Concrete weight 150lb/ft³, fy = 60,000 psi, and f'e = 4000 psi. A starting steel ratio is provided below. Show sketches of the cross sections, including bar sizes, arrangement, depth and spacing.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 4: Design a rectangular section for the beam, loads, and p values shown. Beam weights
are not included in the given loads. Use h = main_span/8, and b = h/2 to get initial guess for self-
weight (you will refine dimensions later using the design aids). When dealing with beams with
more than one span, live loads are to be placed where they cause the most severe conditions within
the section considered. Place the live load over the left span only in order to get the worst case
positive moment in the 16 ft span. Then place the live load over the right span only in order to get
the worst case negative moment in the 8 ft span. Use the larger of the two M₁ values to finalize
beam dimensions (b, h, d, which are the same for both spans). Now design the tension steel for
each of the two sections separately (using that span's own Mu).
с
Concrete weight 150lb/ft³, fy = 60,000 psi, and f'c = 4000 psi. A starting steel ratio is provided
below. Show sketches of the cross sections, including bar sizes, arrangement, depth and spacing.
Remember that tension is at the top for negative moment.
Design for negative moment
Design for positive moment
WDL =2k/ft, WLL = 3k/ft
16ft
8ft
p= (0.18f'c )/ fy
Transcribed Image Text:Problem 4: Design a rectangular section for the beam, loads, and p values shown. Beam weights are not included in the given loads. Use h = main_span/8, and b = h/2 to get initial guess for self- weight (you will refine dimensions later using the design aids). When dealing with beams with more than one span, live loads are to be placed where they cause the most severe conditions within the section considered. Place the live load over the left span only in order to get the worst case positive moment in the 16 ft span. Then place the live load over the right span only in order to get the worst case negative moment in the 8 ft span. Use the larger of the two M₁ values to finalize beam dimensions (b, h, d, which are the same for both spans). Now design the tension steel for each of the two sections separately (using that span's own Mu). с Concrete weight 150lb/ft³, fy = 60,000 psi, and f'c = 4000 psi. A starting steel ratio is provided below. Show sketches of the cross sections, including bar sizes, arrangement, depth and spacing. Remember that tension is at the top for negative moment. Design for negative moment Design for positive moment WDL =2k/ft, WLL = 3k/ft 16ft 8ft p= (0.18f'c )/ fy
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