Computational Study of Cold-Formed-Steel X-Braced Shear Walls

Table 7

Parametric study results.

Model	Strap brace thickness (mm)	Vu (kN)	Vy (kN)	Vd (kN)	∆u (mm)	∆y (mm)	Ω	Rµ	R	Ry
Wall aspect ratio 1 : 1 (2.44 × 2.44), Fy = 360 MPa
A1.5_36	1.5	65.5	49.2	36.9	165	14.3	1.78	4.70	8.34	2.2
A2_36	2	82	64	48	155	16.5	1.71	4.22	7.21	1.65
A2.5_36	2.5	99.3	78.6	58.95	138	18.5	1.68	3.73	6.28	1.35
A3.0_36	3	114	93	69.75	104	20.5	1.63	3.02	4.94	1.1
A3.5_36	3.5	125	104	78	36	21	1.60	1.56	2.50	0.95
Wall aspect ratio 1 : 1 (2.44 × 2.44), Fy = 230 MPa
A2.5_23	2.5	68.9	51.75	38.8125	115	12.2	1.78	4.23	7.50	1.9
A3.0_23	3	79.6	60.8	45.6	101	13.4	1.75	3.75	6.55	1.55
A3.5_23	3.5	87.6	68.9	51.675	85	14.5	1.70	3.27	5.55	1.37
A4.0_23	4	96.4	77.6	58.2	58	15.6	1.66	2.54	4.20	1.2
A4.5_23	4.5	101.4	83	62.25	25	16	1.63	1.46	2.37	1.05
Wall aspect ratio 1 : 1 (1.20 × 2.44), Fy = 360 MPa
B1.0_36	1	29.3	15.2	11.4	185	24	2.57	3.80	9.76	2.6
B1.5_36	1.5	40.7	28.25	21.1875	210	26	1.92	3.89	7.48	1.75
B2.0_36	2	49	30	22.5	130	26	2.18	3.00	6.53	1.3
B2.5_36	2.5	54.8	36.5	27.375	118	31	2.00	2.57	5.15	1.05
B3.0_36	3	55.6	39.12	29.34	58.9	31	1.90	1.67	3.17	0.9
Wall aspect ratio 1 : 1 (1.20 × 2.44), Fy = 230 MPa
B1.5_23	1.5	30.7	21	15.75	175	20	1.95	4.06	7.92	2.45
B2.0_23	2	39.2	28.6	21.45	180	26	1.83	3.58	6.55	1.85
B2.5_23	2.5	44.2	33.2	24.9	123	28	1.78	2.79	4.95	1.45
B3.0_23	3	46.7	35.7	26.775	70	30	1.74	1.91	3.34	1.25

V_u is the ultimate shear strength, V_d is the design shear strength, ∆_u is the ultimate lateral displacement, ∆_y is the maximum elastic lateral displacement, Ω is the overstrength factor, and R_µ is the ductility factor. R_y is the factor that overestimates the capacity of the brace according to AISI [23].