O efeito do grau de conexão viga-pilar na análise global de estruturas de concreto armado de múltiplos pavimentos

Manoel, Lucas; Pachla, Eduardo C.; Bolina, Fabricio L.

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Sumário

ORIGINAL ARTICLE • Rev. IBRACON Estrut. Mater. 17 (6) • 2024 • https://doi.org/10.1590/S1983-41952024000600015 copiar

O efeito do grau de conexão viga-pilar na análise global de estruturas de concreto armado de múltiplos pavimentos

Autoria SCIMAGO INSTITUTIONS RANKINGS

Resumo

O efeito da conexão semirrígida entre vigas e pilares no resultado global de pórticos de estruturas de concreto foi investigado. As rotações relativas foram determinadas usando o método analítico de Alva e El Debs. O fator de restrição de rotação ( $α_{r}$ ) foi aplicado em cada nó do pórtico. A pesquisa foi feita em estruturas com alturas totais de 21.0, 42.0 e 63.0 m. Concluiu-se que as ligações semirrígidas aumentam os deslocamentos laterais, efeitos de 2ª ordem e coeficiente $γ_{z}$ . Quanto menor a rigidez das vigas e pilares, menor a influência do fator $α_{r}$ nos resultados. O uso de conexões viga-coluna perfeitamente engastadas pode levar a um comportamento global não realístico de estruturas de concreto armado.

Palavras-chave:
estruturas de concreto; vigas; pilares; ligações

Frame number	Number of floors	Total height (m)
F7	7	21
F14	14	42
F21	21	63

Column number	Structural frame
Column number	F7	F14	F21
C1	19x49	30x70	45x90
C2	49x19	70x30	90x45
C3	19x49	30x70	45x90
C4	49x19	70x30	90x45
C5	49x19	70x30	90x45
C6	49x19	70x30	90x45
C7	19x49	30x70	45x90
C8	19x49	30x70	45x90
C9	19x49	30x70	45x90
C10	19x49	30x70	45x90
C11	49x19	70x30	90x45
C12	49x19	70x30	90x45
C13	49x19	70x30	90x45
C14	19x49	30x70	45x90
C15	49x19	70x30	90x45
C16	19x49	30x70	45x90

Frame number	Number of floors	Total height (m)	Beams dimensions	Columns dimensions
F14	14	42	19x60 cm	30x70 cm
F14-B10	14	42	19x54 cm	30x70 cm
F14-B20	14	42	19x48 cm	30x70 cm
F14-C10	14	42	19x60 cm	30x63 cm
F14-C20	14	42	19x60 cm	30x56 cm

Column number (node)	$α_{r}$ factors (variability in %)
	F7
	GF-I	GF-II	GF-III	Average GF-I to III
C1	0.84	0.87	0.91	0.87
C2	0.83	0.84	0.92	0.86
C3	0.86	0.86	0.95	0.89
C4	0.84	0.84	0.92	0.87
C5	0.86	0.86	0.95	0.89
C6	0.79	0.80	0.92	0.83
C7	0.79	0.80	0.92	0.84
C8	0.83	0.84	0.92	0.86
C9	0.83	0.84	0.92	0.86
C10	0.79	0.80	0.92	0.83
C11	0.79	0.80	0.92	0.84
C12	0.86	0.86	0.86	0.89
C13	0.84	0.84	0.92	0.87
C14	0.86	0.86	0.95	0.89
C15	0.83	0.86	0.92	0.87
C16	0.84	0.86	0.91	0.87
Average C1-16	0.83	0.84	0.93

Column number (node)	$α_{r}$ factors
	F14
	GF-I	GF-II	GF-III	GF-IV	GF-V	Average GF-I to V
C1	0.80	0.80	0.77	0.80	0.90	0.81
C2	0.81	0.78	0.78	0.78	0.88	0.80
C3	0.80	0.80	0.79	0.82	0.87	0.82
C4	0.80	0.80	0.77	0.79	0.90	0.81
C5	0.80	0.80	0.79	0.82	0.87	0.82
C6	0.80	0.80	0.78	0.79	0.82	0.80
C7	0.80	0.80	0.79	0.78	0.82	0.80
C8	0.81	0.78	0.78	0.78	0.88	0.80
C9	0.81	0.78	0.78	0.78	0.88	0.80
C10	0.80	0.80	0.79	0.78	0.82	0.80
C11	0.80	0.80	0.79	0.78	0.83	0.80
C12	0.80	0.80	0.79	0.82	0.87	0.82
C13	0.80	0.80	0.77	0.79	0.90	0.81
C14	0.80	0.80	0.79	0.82	0.87	0.82
C15	0.81	0.78	0.78	0.78	0.88	0.80
C16	0.80	0.80	0.77	0.81	0.90	0.81
Average C1-16	0.80	0.80	0.78	0.80	0.87

Column number (node)	$α_{r}$ factors
	F21
	GF-I	GF-II	GF-III	GF-IV	GF-V	GF-VI	GF-VII	Average GF-I to VII
C1	0.83	0.83	0.82	0.78	0.78	0.77	0.82	0.80
C2	0.84	0.84	0.84	0.81	0.77	0.76	0.82	0.81
C3	0.83	0.83	0.83	0.80	0.77	0.78	0.84	0.81
C4	0.83	0.83	0.82	0.78	0.77	0.76	0.83	0.80
C5	0.83	0.83	0.83	0.80	0.7	0.76	0.84	0.81
C6	0.84	0.84	0.84	0.81	0.79	0.76	0.80	0.81
C7	0.84	0.84	0.84	0.81	0.79	0.76	0.80	0.81
C8	0.84	0.84	0.83	0.81	0.77	0.76	0.83	0.81
C9	0.84	0.84	0.84	0.81	0.77	0.77	0.83	0.81
C10	0.84	0.84	0.84	0.81	0.79	0.76	0.80	0.81
C11	0.84	0.84	0.84	0.81	0.79	0.77	0.80	0.81
C12	0.83	0.83	0.83	0.80	0.77	0.76	0.84	0.81
C13	0.83	0.83	0.82	0.78	0.77	0.76	0.83	0.80
C14	0.83	0.83	0.83	0.80	0.79	0.78	0.84	0.81
C15	0.84	0.84	0.84	0.81	0.77	0.77	0.83	0.81
C16	0.83	0.83	0.82	0.78	0.79	0.77	0.83	0.81
Average C1-16	0.83	0.83	0.83	0.80	0.78	0.77	0.82

Frame number		Maximum lateral total (global) displacement
Frame number		Rigid (R) (cm)	Semi-rigid (SR) (cm)	Increase (SR in relation to R) (%)
F7		0.91	0.99		8.1
F14		1.81	2.07		14.4
Subcases	F14-B10	2.03	2.31		13.8
	F14-B20	2.34	2.65		13.3
	F14-C10	2.07	2.31		11.6
	F14-C20	2.42	2.68		10.7
F21		2.72	3.17		16.5

Frame number		coefficient $γ_{Z}$
Frame number		Rigid (R)	Semi-rigid (SR)	Increase (SR in relation to R) (%)
F7		1.075	1.085		0.9
F14		1.073	1.088		1.4
Subcases	F14-B10	1.084	1.100		1.5
	F14-B20	1.099	1.117		1.6
	F14-C10	1.081	1.095		1.3
	F14-C20	1.092	1.108		1.5
F21		1.076	1.094		1.7

Column number (node)	$α_{r}$ factors
	F14-B10
	GF-I	GF-II	GF-III	GF-IV	GF-V	Average GF-I to V
C1	0.81	0.83	0.78	0.77	0.87	0.81
C2	0.83	0.82	0.78	0.78	0.85	0.81
C3	0.81	0.82	0.80	0.80	0.84	0.81
C4	0.81	0.81	0.78	0.77	0.86	0.81
C5	0.81	0.82	0.80	0.80	0.85	0.82
C6	0.84	0.84	0.81	0.79	0.80	0.81
C7	0.84	0.84	0.81	0.79	0.80	0.81
C8	0.83	0.82	0.80	0.78	0.85	0.82
C9	0.83	0.82	0.80	0.78	0.85	0.82
C10	0.84	0.84	0.81	0.79	0.80	0.81
C11	0.84	0.84	0.81	0.79	0.80	0.81
C12	0.81	0.82	0.80	0.80	0.85	0.82
C13	0.81	0.81	0.78	0.77	0.86	0.81
C14	0.81	0.82	0.80	0.80	0.84	0.81
C15	0.83	0.82	0.80	0.78	0.85	0.82
C16	0.81	0.83	0.78	0.77	0.86	0.81
Average C1-16	0.82	0.82	0.80	0.79	0.84

Column number (node)	$α_{r}$ factors
	F14-B20
	GF-I	GF-II	GF-III	GF-IV	GF-V	Average GF-I to V
C1	0.86	0.85	0.83	0.79	0.84	0.83
C2	0.86	0.85	0.83	0.79	0.82	0.83
C3	0.85	0.85	0.81	0.81	0.85	0.83
C4	0.86	0.85	0.83	0.81	0.83	0.84
C5	0.85	0.85	0.81	0.79	0.85	0.83
C6	0.86	0.86	0.84	0.81	0.79	0.83
C7	0.86	0.86	0.84	0.81	0.77	0.83
C8	0.86	0.85	0.83	0.79	0.82	0.83
C9	0.86	0.85	0.83	0.79	0.83	0.83
C10	0.86	0.86	0.84	0.81	0.79	0.83
C11	0.86	0.86	0.84	0.81	0.79	0.83
C12	0.85	0.85	0.81	0.82	0.84	0.83
C13	0.86	0.84	0.83	0.79	0.84	0.83
C14	0.85	0.84	0.81	0.80	0.85	0.83
C15	0.86	0.85	0.83	0.79	0.82	0.83
C16	0.86	0.85	0.82	0.78	0.87	0.84
Average C1-16	0.86	0.85	0.83	0.80	0.83

Column number (node)	$α_{r}$ factors
	F14-C10
	GF-I	GF-II	GF-III	GF-IV	GF-V	Average GF-I to V
C1	0.81	0.80	0.78	0.79	0.90	0.82
C2	0.81	0.81	0.77	0.78	0.88	0.81
C3	0.81	0.80	0.82	0.82	0.88	0.83
C4	0.81	0.80	0.78	0.81	0.90	0.82
C5	0.79	0.80	0.82	0.82	0.88	0.82
C6	0.82	0.80	0.80	0.78	0.83	0.81
C7	0.83	0.80	0.80	0.79	0.83	0.81
C8	0.81	0.81	0.77	0.78	0.87	0.81
C9	0.81	0.81	0.77	0.78	0.88	0.81
C10	0.82	0.80	0.80	0.79	0.83	0.81
C11	0.82	0.80	0.80	0.79	0.81	0.80
C12	0.79	0.80	0.82	0.82	0.88	0.82
C13	0.81	0.80	0.78	0.81	0.90	0.82
C14	0.81	0.80	0.82	0.82	0.88	083
C15	0.81	0.81	0.77	0.78	0.88	0.81
C16	0.81	0.80	0.78	0.79	0.90	0.81
Average C1-16	0.81	0.80	0.79	0.80	0.87

Column number (node)	$α_{r}$ factors
	S14-C20
	GF-I	GF-II	GF-III	GF-IV	GF-V	Average GF-I to V
C1	0.81	0.80	0.77	0.79	0.90	0.81
C2	0.81	0.81	0.77	0.79	0.88	0.81
C3	0.81	0.80	0.81	0.82	0.88	0.82
C4	0.81	0.80	0.77	0.79	0.91	0.82
C5	0.81	0.79	0.81	0.82	0.88	0.82
C6	0.82	0.81	0.80	0.78	0.83	0.81
C7	0.82	0.81	0.80	0.78	0.83	0.81
C8	0.81	0.81	0.77	0.77	0.87	0.81
C9	0.81	0.81	0.77	0.79	0.88	0.81
C10	0.82	0.81	0.80	0.78	0.83	0.81
C11	0.82	0.81	0.80	0.79	0.83	0.81
C12	0.81	0.79	0.81	0.82	0.88	0.82
C13	0.81	0.80	0.77	0.79	0.91	0.82
C14	0.81	0.80	0.81	0.83	0.88	0.82
C15	0.81	0.81	0.77	0.78	0.88	0.81
C16	0.81	0.80	0.77	0.79	0.90	0.81
Average C1-16	0.81	0.80	0.79	0.79	0.87

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[1] Corresponding author: Lucas Manoel. E-mail: lucasmanoel112@gmail.com