ARCH 264/564 Structural Elements

Assignment #2r

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Issued Mar. 4, 2008.
Due: Mar. 6, 2008 (not collected or graded)

solutions

1. Reinforced concrete columns: analysis
What is the maximum design (factored) load, Pu, that can be supported on the following reinforced concrete columns? Use f'c = 5 ksi; and fy = 60 ksi. Check reinforcement ratio and bar fit:

a) 16" x 20" tied column with 4 No. 18 bars.

b) 20"-diameter spiral column with 10 No. 10 bars.


2. Reinforced concrete columns: design
plan and section
Select steel bars for a 16" x 16" first-floor tied column. Assume that the dead load consists only of 8"-thick floor and roof slabs (weighing 150 pcf); and that the live load (with no live load reduction needed) is 100 psf on all floors, but not the roof. Use f'c = 4 ksi; and fy = 60 ksi. Check reinforcement ratio and bar fit.


3. Reinforced concrete columns: design
Assuming a reinforcement ratio of about 0.04 (i.e., 4%), how big would a round spiral column be that must support a design (factored) load, Pu = 1000 kips*. Round diameter to the closest even inch. Use f'c = 4 ksi; and fy = 60 ksi. Do not find steel area or select bars.

* Note that "design" or "factored" loads, Pu, already include the load factors. That is, they already are in the form: 1.2D + 1.6L.