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Thursday, September 27, 2018

COLUMN INTERACTION DIAGRAM


In the design and investigation of concrete column, interaction diagram is required. This is a plot of Axial load, P capacity versus Moment, M capacity in a certain axis of the column.
The image below shows an interaction diagram indicating Nominal capacity and Ultimate capacity of the concrete column. The single dot is the specified load required in the column from the structural analysis. The load required plot should be inside the interaction diagram curve. Note that the interaction diagram is a work in progress to date.

This is the overview of the spreadsheet.




The user will only input on the following yellow filled cells:
1. b = width of the column along x axis
2. h= height of column along y axis
3. cover = extreme tension layer distance from center to outermost cover of column
4. As1= area of single rebar used in both extreme tension layer and compression layer, 3= number of rebar in both extreme tension and compression layer
5. effective depth from outermost compression concrete to extreme tension layer
6. As2 = area of single rebar in zone 2, 2=number of rebar in zone 2, 249= effective distance of zone 2 rebar to extreme compression concrete, As3=area of single rebar in zone 3, 2=number of rebar in zone 3, 491= effective distance of zone 3 rebar to extreme compression concrete..
7. fy= rebar yield strength
8.fc = concrete compressive strength

After inputting all those values, an interaction diagram is generated for up to 5 layers of rebar in a concrete column. The corresponding Pu and Mu required is also plotted if you input them.

Having this kind of spreadsheet will allow you to easily investigate the column for a number of load combinations of P and M from dead load, live load and earthquake load. Also, changing the parameters like rebar area, depth of each zone of rebar and number of rebars in each zone are easier compared to doing it in manual calculation.

The video below shows verification of result for 4 rows of rebar in column.




The video below shows a verification of result from interaction diagram.




This video shows how to input actual column rebar layout from column schedule and investigating the capacity from set of load forces from different load combinations:












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