Optimum Design of Braced Steel Space Frames including Soil-Structure Interaction via Teaching-Learning-Based Optimization and Harmony Search Algorithms

Table 3

Optimum results of the X-braced space frame.

Storeys	Member groups	Literature research, Hasancebi [36]	This study
			TLBO without soil-structure interaction	TLBO with soil-structure interaction	HS without soil-structure interaction	HS with soil-structure interaction
1-2	CC	W16 × 36	W8 × 24	W8 × 28	W8 × 35	W8 × 31
	OCl	W12 × 65	W21 × 83	W14 × 99	W14 × 43	W12 × 50
	OCs	W24 × 94	W44 × 224	W44 × 224	W12 × 50	W18 × 50
	IC	W12 × 120	W14 × 74	W16 × 89	W18 × 97	W18 × 119
	OB	W8 × 18	W8 × 24	W10 × 26	W8 × 24	W8 × 24
	IB	W18 × 35	W10 × 33	W14 × 48	W10 × 33	W16 × 40
	BR	W5 × 19	W8 × 15	W12 × 16	W8 × 21	W8 × 15
3-4	CC	W10 × 33	W8 × 28	W8 × 28	W14 × 48	W10 × 60
	OCl	W10 × 54	W12 × 87	W10 × 49	W10 × 33	W12 × 65
	OCs	W12 × 72	W10 × 49	W12 × 53	W24 × 68	W24 × 76
	IC	W30 × 90	W24 × 62	W12 × 72	W14 × 68	W24 × 94
	OB	W8 × 18	W12 × 30	W8 × 24	W18 × 50	W18 × 50
	IB	W12 × 26	W14 × 34	W8 × 35	W10 × 33	W12 × 35
	BR	W6 × 15	W12 × 14	W12 × 14	W10 × 15	W6 × 15
5-6	CC	W16 × 31	W16 × 36	W8 × 31	W14 × 34	W14 × 43
	OCl	W10 × 49	W8 × 35	W14 × 34	W8 × 28	W12 × 45
	OCs	W10 × 54	W8 × 40	W10 × 60	W14 × 38	W16 × 50
	IC	W12 × 58	W24 × 55	W14 × 53	W16 × 57	W18 × 65
	OB	W8 × 21	W16 × 36	W10 × 30	W10 × 30	W10 × 30
	IB	W12 × 26	W16 × 36	W14 × 38	W16 × 45	W18 × 50
	BR	W6 × 15	W10 × 15	W12 × 14	W12 × 22	W6 × 15
7-8	CC	W16 × 26	W8 × 24	W12 × 53	W10 × 45	W10 × 45
	OCl	W10 × 49	W8 × 31	W10 × 49	W12 × 45	W12 × 45
	OCs	W10 × 49	W10 × 54	W12 × 53	W10 × 45	W14 × 48
	IC	W14 × 38	W16 × 36	W14 × 43	W14 × 48	W10 × 68
	OB	W8 × 21	W8 × 24	W10 × 30	W8 × 35	W12 × 35
	IB	W12 × 26	W14 × 34	W18 × 40	W10 × 33	W10 × 33
	BR	W6 × 9	W12 × 14	W12 × 14	W12 × 14	W12 × 14
9-10	CC	W12 × 26	W8 × 28	W8 × 24	W8 × 31	W12 × 40
	OCl	W8 × 31	W10 × 49	W14 × 30	W10 × 33	W14 × 53
	OCs	W8 × 40	W8 × 31	W12 × 40	W14 × 30	W14 × 30
	IC	W8 × 28	W12 × 30	W12 × 40	W16 × 36	W12 × 45
	OB	W8 × 18	W8 × 24	W8 × 24	W21 × 44	W8 × 24
	IB	W12 × 30	W21 × 44	W10 × 33	W16 × 36	W10 × 39
	BR	W6 × 9	W10 × 15	W10 × 15	W12 × 14	W12 × 14
Weight (kN)		1092.91	1170.03	1217.91	1201.13	1265.50
Maximum lateral displacement (cm)		—	6.36	7.59	7.92	8.29
Interstorey drift (cm)		—	0.81	0.91	0.915	0.915
Maximum settlement (cm)		—	—	−0.657	—	−0.670