The influence of the beam-column connection on the global results of multi-storey reinforced concrete structures

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

doi:10.1590/S1983-41952024000600015

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Revista IBRACON de Estruturas e Materiais

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

The influence of the beam-column connection on the global results of multi-storey reinforced concrete structures

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

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

The effect of the semi-rigid connection between beams and columns on the global behavior of reinforced concrete (RC) structures was investigated. The relative rotations in the nodes of the spatial frames were determined using the analytical approach proposed by Alva and El Debs. The rotational restraint factor ( $α_{r}$ ) was defined and applied in each node of the spatial frames. RC spatial frames with total heights of 21, 42, and 63 m were considered. It was found that the semi-rigid connection increases the lateral displacements, the 2^nd order effects, and the $γ_{z}$ values. The lower the stiffness of the nodes, the lower the influence of $α_{r}$ on the global results. The total fixed beam-column connections can lead to an unrealistic behavior of the spatial frame and thus to global results.

Keywords:
reinforced concrete structures; beam; column; connections

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