A concrete rectangular column with dimensions A= 420mm and B= 580 mm (See figure below) is braced against side sway. The column is to be fixed on both ends for bending about the Y-axis and to be pinned on both ends for bending about the X-axis. The unsupported length is 7.7 meters. Use f'c=35 MPa. Reinforcements are along "B" only. The column is subjected to the following service loads: Axial Dead Load =400 kN Axial Live Load=650 kN Moment about the X-axis due to Dead Load on the top of the column = 151 kN-m Moment about the Y-axis due to Dead Load on the top of the column = 138 kN-m Moment about the X-axis due to Live Load on the top of the column = 165 kN-m Moment about the Y-axis due to Live Load on the top of the column = 140 kN-m
A concrete rectangular column with dimensions A= 420mm and B= 580 mm (See figure below) is braced against side sway. The column is to be fixed on both ends for bending about the Y-axis and to be pinned on both ends for bending about the X-axis. The unsupported length is 7.7 meters. Use f'c=35 MPa. Reinforcements are along "B" only.
The column is subjected to the following service loads:
Axial Dead Load =400 kN
Axial Live Load=650 kN
Moment about the X-axis due to Dead Load on the top of the column = 151 kN-m
Moment about the Y-axis due to Dead Load on the top of the column = 138 kN-m
Moment about the X-axis due to Live Load on the top of the column = 165 kN-m
Moment about the Y-axis due to Live Load on the top of the column = 140 kN-m
Moment about the X-axis due to Dead Load on the bottom of the column = 140 kN-m
Moment about the Y-axis due to Dead Load on the bottom of the column = 131 kN-m
Moment about the X-axis due to Live Load on the bottom of the column = 162 kN-m
Moment about the Y-axis due to Live Load on the bottom of the column = 144kN-m
If the end moments results to the column having a singular curve for both axes, and the column is not subjected to any transverse loads, determine the following:
Critical load on the column for bending along the X-axis, kN
Critical load on the column for bending along the Y-axis, kN
Design Moment for bending about the X-axis, kN-m
Design Moment for bending about the Y-axis, kN-m
Eccentricity (using the design moment) of the load along the Y-axis, mm
Eccentricity (using the design moment) of the load along the X-axis,
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