Simplified Design Equation of Minimum Interior Joint Depth for Special Moment Frames with High-Strength Reinforcement

Lee, Hung-Jen; Chen, Hsi-Ching; Tsai, Tsung-Chieh

doi:10.1186/s40069-018-0303-2

International Journal of Concrete Structures and Materials

Table 2 Key parameters of the joints with Grade 490 or 500 MPa beam bars.

From: Simplified Design Equation of Minimum Interior Joint Depth for Special Moment Frames with High-Strength Reinforcement

First author	Specimen	Failure mode	Test parameters								Performance evaluation^c
First author	Specimen	Failure mode	\(\varvec{f}_{\varvec{c}}^{\varvec{'}}\) MPa	\(\varvec{f}_{{\varvec{ya}}}\) MPa	\(\varvec{h}_{\varvec{c}}\) mm	\(\frac{{\varvec{h}_{\varvec{c}} }}{{\varvec{d}_{\varvec{b}} }}\)	\(\frac{{A_{s,bot} }}{{A_{s,top} }}\)	\(\frac{\varvec{P}}{{\varvec{A}_{\varvec{g}} \varvec{f}_{\varvec{c}}^{\varvec{'}} }}\)	\(\frac{{\varvec{V}_{{\varvec{jh} \cdot \varvec{m}}} }}{{\varvec{V}_{\varvec{n}} }}\) ^a	\(\varvec{A}_{{\varvec{sh},\varvec{ratio}}}\) ^b	\(\frac{{\varvec{Q}_{\varvec{r}} }}{{\varvec{Q}_{\varvec{m}} }}\)	\(\frac{{\varvec{K}_{\varvec{o}} }}{{\varvec{K}_{\varvec{i}} }}\)	\(\frac{{\varvec{E}_{\varvec{D}} }}{{\varvec{E}_{{\varvec{PP}}} }}\)	Rating
Teraoka (1994)	HNO. 9	BJ	93	599	400	18.0	1.00	0.20	0.98	1.03	0.87	0.11	0.35	o
Nakachi (1995)	NO. 1	BJa	45	493	400	20.9	1.00	0.20	0.70	2.33	0.69	0.02	0.21	x
	NO. 2	BJ	48	493	400	20.9	1.00	0.20	1.02	2.18	0.69	0.02	0.23	x
	NO. 3	BJa	31	493	400	20.9	1.00	0.20	0.80	3.36	0.63	0.00	0.17	x
	NO. 4	BJ	32	493	400	20.9	1.00	0.20	1.13	3.21	0.62	0.03	0.25	x
	NO. 5	BJa	60	493	400	20.9	1.00	0.20	0.94	1.72	0.54	0.01	0.29	x
	NO. 6	BJ	65	493	400	20.9	1.00	0.19	1.18	1.61	0.67	0.05	0.30	x
Hosoya (2003)	NO. 1	BJa	47	535	450	23.6	0.83	0.19	0.75	0.61	0.62	0.02	0.23	x
Maruta (2004)	CC-3	BJ	185	543	400	18.0	1.00	0.07	0.98	0.29	0.62	0.14	0.35	x
Hori (2004)	B1	BJ	89	542	400	20.9	0.75	0.27	0.88	0.33	0.79	0.13	0.35	o
Brooke (2006)	1B	B	31	552	800	32.0	1.00	0	0.77	2.01	0.92	0.18	0.40	o
	2B	B	41	552	800	32.0	1.00	0	0.70	1.29	0.67	0.17	0.51	x
	3B	BJa	45	537	675	27.0	1.00	0	0.75	1.13	0.80	0.18	0.42	o
	4B	BJa	43	537	675	27.0	1.00	0	0.74	1.19	0.81	0.12	0.36	o
Umemura (2006)	PJN	BJ	76	554	500	22.5	1.00	0.15	0.94	0.87	0.83	0.11	0.35	o
Kimoto (2006)	I6C	BJa	71	518	400	20.9	1.00	0.20	0.87	0.39	0.76	0.09	0.28	o
	I6P	BJa	71	518	400	20.9	1.00	0.20	0.87	0.39	0.80	0.11	0.29	o
	I1P	BJ	105	518	400	20.9	1.00	0.20	0.97	0.33	0.81	0.15	0.35	o
Yagenji (2009)	JU-S	BJa	55	541	400	20.9	0.67	0.10	0.91	0.55	0.63	0.03	0.26	x
Li (2015)	NS1	B	60	510	450	37.5	1.00	0	1.06	0.83	0.90	0.33	0.43	o
	NS2	B	61	508	450	28.1	0.50	0	0.65	0.58	0.92	0.13	0.24	o
	NS3	B	61	508	450	28.1	1.00	0	0.76	0.82	0.95	0.29	0.42	o
	NS4	B	60	513	450	22.5	0.64	0	0.53	0.64	0.87	0.09	0.28	o
	AS1	B	61	510	450	37.5	1.00	0.30	1.02	0.82	0.87	0.13	0.44	o
	AS2	B	61	508	450	28.1	0.50	0.30	0.55	0.58	0.64	0.00	0.09	x
	AS3	B	61	508	450	28.1	1.00	0.30	0.73	0.82	0.78	0.13	0.42	o
	AS4	B	62	513	450	22.5	0.64	0.30	0.53	0.62	0.69	0.04	0.37	x
Alaee (2017)	IN80	B	80	564	450	28.1	0.50	0	0.45	0.99	0.79	0.09	0.29	o
Alaee (2017)	IN100	B	100	564	450	28.1	0.50	0	0.40	1.01	0.83	0.21	0.36	o

Failure mode: “B”, beam flexural failure; “BJ”, Beam yielding followed by Joint shear failure; “BJa” Beam yielding followed by Joint anchorage failure.
^aExperimental-to-nominal joint strength ratio per ACI 318.
^bProvided-to-required confinement reinforcing ratio per ACI 318 without limiting \(\varvec{f}_{{\varvec{yt}}}\).
^cJoints with hysteresis performance satisfying the three acceptance criteria (Fig. 4) given by ACI 374.1-05 are evaluated to be “Acceptable” and denoted by symbol “o”. The rest joints are evaluated to be “Unacceptable” and denoted by symbol “x”.

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