Estudo paramétrico da resistência de seções poligonais de concreto armado submetidas à flexão composta oblíqua

Souza, Lucas Peres de; Argenta, Marco André

Lucas Peres de Souza

Universidade Federal do Paraná – UFPR, Programa de Pós-graduação em Engenharia da Construção Civil – PPGECC, Curitiba, PR, Brasil

https://orcid.org/0000-0001-7016-2513

Marco André Argenta

Universidade Federal do Paraná – UFPR, Programa de Pós-graduação em Engenharia da Construção Civil – PPGECC, Curitiba, PR, Brasil

https://orcid.org/0000-0003-1183-7896

Corresponding author: Lucas Peres de Souza. E-mail: lucasperes.eng@gmail.com

Conflict of interest: Nothing to declare.

Author contributions: LPS: algorithm computational implementation, data analysis, writing; MAA: supervision, revision, translation.

Editors: Mauro de Vasconcellos Real, José Luiz Antunes de Oliveira e Sousa, Guilherme Aris Parsekian.

θ (rad)	Square									Cross-format
	N (kN)	f_ck (MPa)								N (kN)	f_ck (MPa)
	N (kN)	20	30	40	50	60	70	80	90	N (kN)	20	30	40	50	60	70	80	90
0	500	59.4	78.0	86.8	90.1	92.2	93.2	94.5	95.9	500	44.4	57.4	66.3	74.1	76.9	79.8	83.0	86.8
	800	42.0	65.7	85.3	99.6	104.9	104.6	109.8	116.2	800	35.2	52.6	67.1	78.5	80.7	84.2	89.8	95.6
	1200	9.1	41.3	67.5	88.9	97.7	103.9	111.2	119.6	1200	8.7	38.8	58.2	74.4	77.6	83.0	89.7	97.3
π/4	500	48.1	62.0	71.9	78.7	78.4	76.7	78.8	81.9	500	51.0	67.1	76.9	83.7	83.4	82.2	84.4	87.2
	800	36.7	55.3	70.4	82.2	81.2	81.4	85.0	89.7	800	38.4	60.0	76.9	90.1	89.3	89.6	93.8	98.7
	1200	9.1	38.4	59.4	76.1	78.0	81.1	85.6	92.6	1200	8.4	39.6	64.5	84.4	88.6	91.7	97.3	105.0
π/2	500	59.4	78.0	86.8	90.1	92.2	93.2	94.5	95.9	500	44.4	57.4	66.3	74.1	76.9	79.8	83.0	86.8
	800	42.0	65.8	85.3	99.6	104.9	104.6	109.8	116.2	800	35.2	52.6	67.1	78.5	80.7	84.2	89.8	95.6
	1200	9.3	41.5	67.8	88.9	97.7	103.9	111.2	119.6	1200	8.8	38.8	58.2	74.4	77.6	83.0	89.7	97.3
θ (rad)	T									L
	N (kN)	f_ck (MPa)								N (kN)	f_ck (MPa)
	N (kN)	20	30	40	50	60	70	80	90	N (kN)	20	30	40	50	60	70	80	90
0	500	67.3	72.1	76.0	79.3	80.8	82.0	83.6	85.2	500	49.9	69.4	86.1	99.4	96.7	96.4	99.6	104.8
	800	77.4	86.2	92.2	97.3	100.2	101.9	104.2	106.3	800	33.2	56.5	76.7	94.3	95.6	97.1	101.7	108.2
	1000	57.9	91.5	100.4	106.9	111.2	113.8	116.6	118.6	1100	11.6	39.7	63.5	84.3	90.1	94.4	101.4	108.3
π/4	500	51.6	68.3	81.8	90.2	91.1	89.3	91.2	94.1	500	72.6	99.2	106.3	112.1	112.9	113.3	115.0	117.4
	800	39.7	60.2	77.8	93.3	95.6	97.4	103.0	109.4	800	47.0	82.4	114.1	132.1	135.7	136.2	138.3	143.1
	1000	27.6	51.8	71.8	89.5	93.8	97.7	104.4	110.9	1100	16.0	56.3	92.4	125.1	137.9	144.0	153.9	159.9
π/2	500	48.1	62.1	70.9	78.5	79.5	80.6	83.2	86.3	500	67.6	74.3	78.6	81.9	82.5	82.9	84.1	85.7
	800	37.3	55.8	71.4	83.1	86.2	87.2	91.9	97.3	800	55.7	78.7	90.1	96.9	98.3	98.0	100.1	104.0
	1000	27.2	48.7	66.7	82.0	84.5	88.3	93.6	99.0	1100	29.8	63.2	87.0	103.7	102.8	103.5	109.0	113.0
3π/4	500	57.3	72.9	82.2	89.5	87.6	87.0	89.1	92.1	500	53.4	66.6	76.1	83.2	79.2	77.7	80.3	83.6
	800	36.4	66.1	85.1	96.4	96.2	96.2	99.5	104.0	800	42.2	60.2	74.0	85.3	81.9	81.2	84.5	89.4
	1000	17.6	52.9	80.1	97.5	97.9	99.6	103.9	108.3	1100	21.5	48.2	67.0	82.1	80.8	81.6	86.6	91.6
π	500	46.2	68.2	88.3	106.4	112.9	119.4	127.1	135.6	500	67.6	74.3	78.6	81.9	82.5	82.9	84.1	85.7
	800	27.1	54.0	76.7	97.5	107.4	115.1	124.8	135.4	800	55.7	78.7	90.1	96.9	98.3	98.0	100.1	104.0
	1000	12.1	40.9	67.0	89.7	101.3	110.9	122.1	133.0	1100	29.8	63.2	87.0	103.7	102.7	103.5	109.0	113.0
5π/4	500	57.3	72.9	82.2	89.6	87.6	87.0	89.1	92.1	500	72.6	99.3	106.3	112.1	112.9	113.3	115.0	117.4
	800	36.4	65.9	85.1	96.4	96.2	96.2	99.5	104.0	800	47.0	82.4	114.1	132.1	135.7	136.2	138.3	143.1
	1000	17.5	52.9	79.9	97.5	97.9	99.6	103.9	108.3	1100	16.0	56.3	92.4	125.1	137.9	144.0	153.9	159.9
3π/2	500	48.1	62.1	70.9	78.5	79.5	80.6	83.2	86.3	500	50.0	69.4	86.1	99.4	96.7	96.4	99.6	104.8
	800	37.3	55.8	71.4	83.1	86.2	87.2	91.9	97.3	800	33.2	56.5	76.7	94.3	95.6	97.1	101.7	108.2
	1000	27.2	48.7	66.7	82.0	84.5	88.3	93.6	99.0	1100	11.6	39.7	63.5	84.3	90.1	94.4	101.4	108.3
7π/4	500	51.6	68.3	81.8	90.2	91.1	89.3	91.2	94.1	500	54.1	69.0	79.2	85.4	84.6	82.9	85.0	88.4
	800	39.7	60.2	77.8	93.3	95.6	97.4	103.0	109.4	800	38.7	60.3	76.7	89.0	85.4	85.1	89.1	93.9
	1000	27.6	51.8	71.8	89.5	93.8	97.8	104.4	110.9	1100	14.9	45.1	66.6	84.1	82.3	83.3	88.6	94.3

σ_{c} = \{\begin{matrix} 0.85 f_{c d} [1 - {(1 - \frac{ε_{c}}{ε_{c 2}})}^{n}], i f 0 \leq ε_{c} \leq ε_{c 2} \\ 0.85 f_{c d}, i f ε_{c 2} \leq ε_{c} \leq ε_{c u} \end{matrix}

ε_{c 2} = \{\begin{matrix} 0.2 %, i f f_{c k} \leq 50 M P a \\ 0.2 % + 0.0085 % {(f_{c k} - 50)}^{0.53}, i f 50 < f_{c k} \leq 90 M P a \end{matrix}

ε_{c u} = \{\begin{matrix} 0.35 %, i f f_{c k} \leq 50 M P a \\ 0.26 % + 3.5 % {(\frac{90 - f_{c k}}{100})}^{4}, i f 50 < f_{c k} \leq 90 M P a \end{matrix}

n = \{\begin{matrix} 2, i f f_{c k} \leq 50 M P a \\ 1.4 + 23.4 {(\frac{90 - f_{c k}}{100})}^{4}, i f 50 < f_{c k} \leq 90 M P a \end{matrix}

σ_{s} = \{\begin{matrix} ε_{s} E_{s}, i f ε_{s} \leq \frac{f_{y d}}{E_{s}} \\ f_{y d}, i f \frac{f_{y d}}{E_{s}} < ε_{s} \leq 1 % \end{matrix}

{[t r i]}_{t_{3 x 2}} = [\begin{matrix} x_{α_{t,1}} & y_{α_{t,1}} \\ x_{α_{t,2}} & y_{α_{t,2}} \\ x_{α_{t,3}} & y_{α_{t,3}} \end{matrix}]

M_{c d} = {[{(y_{α_{R_{c d}}} - y_{α_{c g}})}^{2} + {(x_{α_{R_{c d}}} - x_{α_{c g}})}^{2}]}^{0.5} R_{c d}

M_{s_{b}} = {[{(y_{α_{b}} - y_{α_{c g}})}^{2} + {(x_{α_{b}} - x_{α_{c g}})}^{2}]}^{0.5} R_{s_{b}}

[1] Corresponding author: Lucas Peres de Souza. E-mail: lucasperes.eng@gmail.com

Brasil

Brasil

Estudo paramétrico da resistência de seções poligonais de concreto armado submetidas à flexão composta oblíqua

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