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 4 Key parameters of the joints with Grade 690 MPa (100 ksi) 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
Noguchi (1992)	OKJ-1	BJ	70	718	300	23.6	0.78	0.12	1.21	0.47	0.59	0.12	0.31	x
Noguchi (1992)	OKJ-4	BJ	70	718	300	23.6	0.78	0.12	1.22	0.95	0.73	0.13	0.33	x
Watanabe (2005)	NO. 2	B	107	724	400	20.9	1.00	0.15	1.15	1.01	0.93	0.20	0.33	o
	NO. 3	BJ	107	724	400	20.9	1.00	0.15	1.48	1.01	0.85	0.17	0.39	o
	NO. 4	BJ	157	724	400	20.9	1.00	0.15	1.28	0.69	0.91	0.20	0.38	o
	NO. 5	B	107	748	400	18.0	1.00	0.15	1.18	1.01	0.86	0.14	0.37	o
Hori (2006)	B15-1	BJ	189	690	380	19.9	0.67	0.23	0.66	0.21	0.56	0.08	0.55	x
Hori (2006)	B15-3	BJ	186	690	340	17.8	1.00	0.23	0.74	0.19	0.65	0.09	0.48	x
Kuo (2011)	X100	BJ	120	744	600	23.6	0.50	0.03	0.86	0.97	0.94	0.18	0.20	o
Lee (2016)	CG1	BJ	81	738	600	23.6	0.67	0.05	0.86	0.65	0.82	0.16	0.21	o
	CG3	BJ	85	738	600	23.6	0.67	0.05	0.86	0.62	0.90	0.18	0.20	o
	CG4	BJ	83	738	600	23.6	0.67	0.05	0.91	0.64	0.91	0.21	0.20	o
Lee (2014)	A24	BJ	116	725	600	23.6	0.75	0.04	0.94	0.86	0.78	0.13	0.25	o
Lee (2014)	B24	BJ	104	725	600	23.6	1.00	0.04	1.11	0.95	0.81	0.13	0.25	o
Alaee (2017)	IH80	B	80	712	450	28.1	0.50	0	0.62	0.97	0.96	0.20	0.25	o
	IH80A	B	80	712	450	28.1	0.50	0.30	0.62	0.97	0.86	0.36	0.46	o
	IH100	B	100	712	450	28.1	0.50	0	0.54	1.01	0.95	0.22	0.28	o
	IH60	BJa	60	707	450	23.7	1.00	0	0.60	1.29	0.80	0.04	0.22	x
	IH60A	BJa	60	707	450	23.7	1.00	0.30	0.56	1.29	0.77	0.04	0.18	x

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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