Closed form ultimate strength of multi-rectangle reinforced concrete sections under axial load and biaxial bending

2009 ◽  
Vol 6 (6) ◽  
pp. 505-521 ◽  
Author(s):  
V. Dias da Silva ◽  
M.H.F.M. Barros ◽  
E.N.B.S. Julio ◽  
C.C. Ferreira
Keyword(s):  
Reinforced Concrete ◽  
Closed Form ◽  
Ultimate Strength ◽  
Axial Load ◽  
Biaxial Bending

Short reinforced concrete column capacity under biaxial bending and axial load

2000 ◽  
Vol 27 (6) ◽  
pp. 1173-1182 ◽  
Author(s):  
H P Hong
Keyword(s):  
Reinforced Concrete ◽  
Probabilistic Analysis ◽  
Axial Load ◽  
Failure Surface ◽  
Biaxial Bending ◽  
Reinforced Concrete Column ◽  
Rc Columns ◽  
Nonlinear Stress ◽  
Modeling Errors ◽  
Error Optimization

The paper describes the development of a simple theoretical approach in estimating the capacity of short reinforced concrete (RC) columns under biaxial bending and axial load. The developed approach considers the nonlinear stress-strain relations of concrete and reinforcing steel and does not make the assumption about the limiting strain of extreme compression fiber of concrete. The solution is obtained using a nonlinearly constrained optimization algorithm. The approach was used to estimate the theoretical capacities of many tested RC columns found in the literature. A probabilistic analysis of the modeling errors was carried out using the ratios of the test-to-predicted results. The probabilistic analysis was extended to include two simplified theoretical methods: the reciprocal load method given by Bresler and the failure surface method given by Hsu.Key words: biaxial bending, modeling error, optimization, probability distribution.

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