Moment-Interaction Diagram 3
- Harika Inanc (Unlicensed)
Analytics
Example #3
Problem definition:
Develop an interaction diagram for the rectangular tied concrete column shown in the figure below about the x-axis and y-axis. Determine seven control points on the interaction diagram and compare the calculated values in example.
--> Autocad görseli eklenecek.
Problem solution:
X - direction
Taratılıp eklenecek
Comparison of Results:
Control Points | Moment (kip - ft) | Phi-Moment (kip - ft) | Axial Force (Kips) | Phi-Axial Force (Kips) | ||||
|---|---|---|---|---|---|---|---|---|
BDS | Hand Calculation | BDS | Hand Calculation | BDS | Hand Calculation | BDS | Hand Calculation | |
Pure Compression | 0 | 0 | 0 | 0 | 6827.568 | 6827.568 | 4437.919 | 4437.919 |
εs=0 | 2346.045 | 2801.479 | 1524.92925 | 1820.961 | 4957.41 | 4574.034 | 3222.317 | 2973.12 |
fs= -0.5fy | 3655.355 | 3633.008 | 2375.98075 | 2361.455 | 3251.135 | 3238.932 | 2113.238 | 2105.306 |
fs= -fy* (balanced) | 3930.085 | 4015.262 | 2554.55525 | 2609.920 | 2414.75 | 2324.376 | 1569.588 | 1510.84 |
εs=-0.005 | 3559.47 | 3550.837 | 3203.523 | 3195.753 | 1454.728 | 1454.01 | 1309.255 | 1308.6 |
Pure bending | 1803.937 | 1814.394 | 1623.5433 | 1632.955 | 0 | 0 | 0 | 0 |
Pure tension | 0 | 0 | 0 | 0 | -1219.2 | -1219.2 | -1097.28 | -1097.28 |
Note that intermediate values obtained from BDS are interpolated.
Problem solution:
Y - direction
Taratılıp eklenecek
Comparison of Results:
Note that intermediate values obtained from BDS are interpolated.