Cisalhamento em vigas de concreto armado com armadura transversal interna contínua

Souza, Diego Ferreira de; Abrantes, Jedson Henryque Correa; Tapajós, Luamim Sales; Ferreira, Mauricio de Pina; Lima Neto, Aarão Ferreira

Diego Ferreira de Souza

Universidade Federal do Pará – UFPA, Nucleus of Amazonian Development in Engineering, Postgraduate Program in Infrastructure Engineering and Energy Development, Tucurui, PA, Brasil

https://orcid.org/0000-0002-2181-0737

Jedson Henryque Correa Abrantes

Universidade Federal do Pará – UFPA, Nucleus of Amazonian Development in Engineering, Postgraduate Program in Infrastructure Engineering and Energy Development, Tucurui, PA, Brasil

https://orcid.org/0000-0002-7296-3821

Luamim Sales Tapajós

Universidade Federal do Oeste do Pará – UFOPA, Faculty of Civil Engineering, Itaituba, PA, Brasil

https://orcid.org/0000-0003-4776-9338

Mauricio de Pina Ferreira

Universidade Federal do Pará – UFPA, Institute of Technology, Faculty of Civil Engineering, Belém, PA, Brasil

https://orcid.org/0000-0001-8905-9479

Aarão Ferreira Lima Neto

Universidade Federal do Pará – UFPA, Nucleus of Amazonian Development in Engineering, Postgraduate Program in Infrastructure Engineering and Energy Development, Tucurui, PA, Brasil

https://orcid.org/0000-0002-5911-1368

Corresponding author: Aarão F. Lima Neto. E-mail: aaraon@ufpa.br

Conflict of interest: Nothing to declare.

Author contributions: DFS and LST: conceptualization, formal analysis, data curation, writing; MPF and AFLN: supervision, funding acquisition, conceptualization.

Editors: Ricardo Carrazedo, Guilherme Aris Parsekian.

BEAM	Ø_w (mm)	α (°)	No. Ø_w	A_sw (mm²)	S (mm)	ρ_w (%)	ƒ_yw (MPa)
C-4-90	6.3	90	4	113.10	100	0.23%	687.12
M-8-90	4.2	90	8	110.84		0.22%	612.56
M-4-90	6.3	90	4	113.10		0.23%	687.12
M-8-60	4.2	60	8	110.84		0.26%	612.56
M-4-60	6.3	60	4	113.10		0.26%	687.12
b_w (mm)	h (mm)	a (mm)	d (mm)	L (mm)	Ø_{f '}(mm)	ƒ_c (MPa)	ƒ_ys (MPa)
500	210	620	171.5	2300	8	25.01	531.95

Ø (mm)	E_s (GPa)	ƒ_ys (MPa)	ɛ_ys (‰)
8.0	205.65	558.56	2.72
STANDARD DEVIATION	14.05	19.55	0.09
25.0	196.66	531.95	2.71
STANDARD DEVIATION	5.68	8.94	0.06

Ø (mm)	E_s (GPa)	ƒ_ys (MPa)	ɛ_ys (‰)
4.2	200.16	612.56	3.07
STANDARD DEVIATION	10.63	15.07	0.17
6.0	192.28	687.12	3.60
STANDARD DEVIATION	17.62	31.28	0.49
6.3	190.61	585.83	3.08
STANDARD DEVIATION	11.46	13.81	0.18

Sample	f_ck (MPa)	f_ct (MPa)
CP1	23.85	3.80
CP2	25.78	3.49
CP3	25.54	3.68
CP4	25.27	3.59
CP5	27.12	3.42
CP6	23.79	3.51
CP7	23.69	3.50
Mean	25.01	3.57
SD	1.19	0.12
COV	5%	3%

Beams	V_u (kN)	V_u/V_flex	V_u/V_ref	V_u/V_NBR-I	V_u/V_NBR-II	V_u / V_ACI	V_u / V_EC2
C-4-90	207.00	0.71	1.00	1.15	0.97	1.28	0.95
M-4-90	227.50	0.78	1.10	1.27	1.07	1.41	1.04
M-8-90	210.50	0.72	1.02	1.18	1.00	1.32	0.98
M-4-60	233.50	0.80	1.13	1.10	0.97	1.22	1.00
M-8-60	235.00	0.81	1.14	1.12	0.99	1.24	1.03
Mean				1.17	1.00	1.30	1.00
Standard deviation				0.06	0.04	0.07	0.04
COV (%)				5%	4%	6%	4%

V_{R, c} = \max \{\begin{matrix} (0.18 \cdot k \cdot (100 \cdot ρ_{l} \cdot f_{c})^{1 / 3}) \cdot b_{w} \cdot d \\ 0.035 \cdot k^{\frac{3}{2}} \cdot \sqrt{f_{c}} \cdot b_{w} \cdot d \end{matrix}

V_{R, c s} = \max \{\begin{matrix} \frac{A_{s w}}{s} \cdot 0.9 \cdot d \cdot f_{y w} \cdot (\cot θ + \cot α) \cdot \sin α \\ V_{R, c} \end{matrix}

[1] Corresponding author: Aarão F. Lima Neto. E-mail: aaraon@ufpa.br

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Cisalhamento em vigas de concreto armado com armadura transversal interna contínua

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