Seismic bearing capacity of shallow strip footing embedded in slope resting on two-layered soil

Debnath, Litan

doi:10.2478/sgem-2021-0021

Figures & Tables

Figure 1

Geometry of footing on two-layered soil profile.

Failure mechanism and wedges assumed in present analysis.

Design chart of Bearing capacity coefficient at φ2 = 30°, δ2 = φ2/2, i = 150, δ1/δ2 = 0.8, kv = kh/2, γ1/γ2 = 0.8, Df/B0 = 0.5, h1/B0 = 0.25, 2c2/B0γ2 = 0.2, c1/c2 = 0.8.

Design chart of Bearing capacity coefficient at φ2 = 40°, δ2 = φ2/2, i = 150, δ1/δ2 = 0.8, kv = kh/2, γ1/γ2 = 0.8, Df/B0 = 1, h1/B0 = 0.25, 2c2/B0γ2 = 0.2, c1/c2 = 0.8

Schematic structure of a particle in PSO (Kalatehjari 2013).

Variation of NγE with kh for φ2 = 30°, δ2 = φ2/2, φ1/φ2 = 0.8, δ1/δ2 = 0.8, kv = kh/2, γ1/γ2 = 0.8, Df/B0 = 0.5, h1/B0 = 0.25, 2c2/B0γ2 = 0.2, c1/c2 = 0.8.

Variation of NγE with kh for φ2 = 30°, δ2 = φ2/2, i = 150, δ1/δ2 = 0.8, kv = kh/2, γ1/γ2 = 0.8, Df/B0 = 0.5, h1/B0 = 0.25, 2c2/B0γ2 = 0.2, c1c2 = 0.8.

Variation of NγE with kh for φ2 = 300, δ2 = φ2/2, i = 150, δ1/δ2 = 0.8, kV = kh/2, φ1/φ2 = 0.8, Df/B0 = 0.5, h1/B0 = 0.25, 2c2/B0γ2 = 0.2, c1/c2 = 0.8.

Variation of NγE with kh for φ2 = 30°, δ2 = φ2/2, i = 15, δ1/δ2 = 0.8, kv = kh/2, φ1/φ2 = 0.8, Df/B0 = 0.5, γ1/γ2 = 0.80, 2c2/B0γ2 = 0.2, c1/c2 = 0.8.

Variation of NγE with kh for φ2 = 30°, δ2 = φ2/2 i = 150, c2/c2 = 0.8, kV = kh/2, φ1/φ2 = 0.8, Df/B0 = 0.5, h1/B0 = 0.25, γ1/γ2 = 0.8.

Variation of NγE with kh for φ2 = 30, δ2 = φ2/2, Df/B0 = 0.5 i = 20°, h1/B0 = 0.25, γ1/γ2 = 0.8, δ1/δ2 = 0.8, φ1/φ2 = 0.8, 2c2/B0γ2 = 0, c1/c2 = 0.

Variation of NγE with kh for φ2 = 30°, δ2 = φ2/2 i = 150, δ1/δ2 = 0.8, kV = kh/2, φ1/φ2 = 0.8, Df/B0 = 0.5, h1/B0 = 0.25, γ1/γ2 = 0.8.

Variation of NγE with kh for φ2 = 20°, δ2 = φ2/2, i = 20° δ1/δ2 = 1.1, kv = kh/2, γ1/γ2 = 1.1, Df/B0 = 0.50, 2c2/B0γ2, = 0, c1/c2 = 0.

Variation of NγE with kh for φ2 = 30°, i = 20°, δ2 = φ2/2, h1/B0 = 0.25, δ1/δ2 = 1.1, kv = kh/2, φ1/φ2 = 1.1, D/B0 = 0.50, 2c2/B0γ2 = 0, c1/c2 = 0.

Variation of NγE with kh for φ2 = 30°, i = 20°, δ2 = φ2/2, h1/B0 = 0.25, δ1/δ2 = 1.1, kv = kh/2, φ1/φ2 = 1.1, D/B0 = 0.50, γ1/γ2 = 1.1.

Comparison of variation in static bearing capacity coefficients (NCS) with c1/c2 for i = 300.

Comparison of seismic bearing capacity coefficients (NcE) with kh for Df/B0 = 0, i = 30°, c1/c2 = 1.

Undrained seismic bearing capacity Ncs for strip footing placed adjacent to two layered slope with i=15°_

k_h	D_f/B₀	c₁/c₂	c₁/γB₀				k_h	D_f/B₀	c₁/c₂	c₁/γB₀

			1	2	4	6				1	2	4	6
0	0.25	0.25	5.52	5.54	5.56	5.56	0	0.50	0.25	4.54	4.60	4.62	4.64
		0.5	5.52	5.54	5.56	5.56			0.5	4.52	4.60	4.61	4.63
		0.75	5.42	5.37	5.43	5.46			0.75	4.52	4.60	4.60	4.62
		1	4.74	4.40	4.41	4.42			1	4.36	4.42	4.44	4.47
		1.5	3.05	3.17	3.22	3.22			1.5	3.32	3.45	3.52	3.54
		2	2.4	2.52	2.58	2.6			2	1.55	2.82	2.90	2.92
		3	-	1.80	1.85	1.88			3	–	2.12	2.22	2.24
		4	-	0.6	1.51	1.53			4	–	0.91	1.84	1.90
		5	-	–	1.29	1.31			5	–	–	1.61	1.64
	0.75	0.25	4.50	4.46	4.25	4.49		1	0.25	4.40	4.49	4.52	4.53
		0.5	4.5	4.48	4.53	4.59			0.5	4.39	4.49	4.52	4.53
		0.75	4.4	4.4	4.54	4.58			0.75	4.38	4.49	4.52	4.53
		1	4.35	4.2	4.45	4.49			1	4.38	4.44	4.47	4.48
		1.5	4.05	3.84	3.93	3.96			1.5	3.88	4.2	4.3	4.33
		2	3.45	3.24	3.36	3.4			2	1.87	3.62	3.76	3.82
		3	-	2.44	2.62	2.68			3	–	2.7	3.07	3.13
		4	-	1.12	2.20	2.28			4	–	1.38	2.64	2.71
		5	-	–	1.92	2.0			5	–	–	2.27	2.42
	1.25	0.25	4.42	4.46	4.50	4.52		1.5	0.25	4.44	4.50	4.52	4.53
		0.5	4.41	4.43	4.48	4.51			0.5	4.41	4.49	4.52	4.53
		0.75	4.40	4.42	4.47	4.50			0.75	4.41	4.49	4.52	4.54
		1	4.39	4.41	4.45	4.48			1	4.38	4.44	4.47	4.48
		1.5	4.01	3.59	3.74	3.85			1.5	4.17	4.49	4.52	4.44
		2	3.67	3.2	3.42	3.45			2	2.34	4.18	4.31	4.37
		3	-	2.64	2.92	2.97			3	–	3.1	3.54	3.74
		4	-	1.67	2.59	2.67			4	–	1.92	3.3	3.43
		5	-	–	2.36	2.48			5	–	–	2.87	3.12
0.1	0.25	0.25	4.84	4.79	4.8	4.81	0.1	0.5	0.25	4.12	4.2	4.23	4.24
		0.5	4.82	4.78	4.8	4.81			0.5	4.13	4.2	4.24	4.24
		0.75	4.64	4.79	4.8	4.81			0.75	4.13	4.2	4.24	4.24
		1	4.12	4.15	4.2	4.21			1	4.06	4.15	4.19	4.21
		1.5	-	3.03	3.09	3.11			1.5	–	3.37	3.46	3.5
		2	-	2.42	2.49	2.51			2	–	2.76	2.87	2.91
		3	-	–	1.82	1.87			3	–	–	2.21	2.25
		4	-	–	1.47	1.51			4	–	–	1.85	1.89
		5	-	–	–	1.28			5	–	–	–	1.65
	0.75	0.25	4.11	4.14	4.18	4.2		1	0.25	4.06	4.15	4.18	4.19
		0.5	4.08	4.13	4.18	4.19			0.5	4.05	4.14	4.19	4.19
		0.75	4.06	4.14	4.18	4.19			0.75	4.04	4.13	4.18	4.19
		1	4.04	4.15	4.2	4.21			1	4.02	4.11	4.14	4.17
		1.5	-	3.74	3.85	3.89			1.5	–	4.07	4.18	4.2
		2	-	3.13	3.31	3.36			2	–	3.48	3.71	3.79
		3	-	–	2.61	2.68			3	–	–	3.01	3.1
		4	-	–	2.14	2.28			4	–	–	2.34	2.67
		5	-	–	–	2.02			5	–	–	–	2.38
	1.25	0.25	4.08	4.14	4.18	4.19		1.5	0.25	4.05	4.14	4.18	4.19
		0.5	4.06	4.14	4.18	4.2			0.5	4.04	4.14	4.18	4.19
		0.75	4.05	4.13	4.18	4.19			0.75	4.05	4.14	4.18	4.19
		1	4.04	4.15	4.2	4.21			1	4.06	4.14	4.19	4.2
		1.5	-	4.14	4.19	4.2			1.5	–	4.14	4.19	4.2
		2	-	3.84	4.07	4.16			2	–	3.95	4.18	4.2
		3	-	–	3.37	3.48			3	–	–	3.67	3.82
		4	-	–	2.54	3.05			4	–	–	2.72	3.38
		5	-	–	–	2.68			5	–	–	–	2.98

Comparison of the variation in Ncs for i=15°_

h₁/B₀	D_f/B₀	c₁/c₂	Xiao et al. (2019)				Present study

			c₁/γB₀				c₁/γB₀

			1	2	4	6	1	2	4	6
0.5	0.25	0.25	5.71	5.73	5.74	5.74	5.68	5.70	5.71	5.72
		0.5	5.71	5.73	5.74	5.74	5.68	5.70	5.71	5.72
		0.75	5.53	5.57	5.58	5.59	5.49	5.55	5.56	5.57
		1	4.51	4.58	4.61	4.63	4.49	4.53	4.58	4.60
	0.50	0.25	4.70	4.75	4.77	4.77	4.68	4.71	4.74	4.74
		0.5	4.70	4.75	4.77	4.77	4.68	4.72	4.75	4.75
		0.75	4.70	4.74	4.77	4.77	4.68	4.71	4.75	4.75
		1	4.51	4.57	4.61	4.62	4.45	4.51	4.59	4.59
1	0.25	0.25	5.71	5.73	5.73	5.75	5.68	5.70	5.71	5.72
		0.5	5.71	5.73	5.73	5.74	5.68	5.70	5.70	5.71
		0.75	5.52	5.57	5.58	5.59	5.50	5.55	5.56	5.57
		1	4.51	4.58	4.61	4.63	4.48	4.55	4.59	4.61
	0.50	0.25	4.70	4.75	4.77	4.78	4.68	4.72	4.74	4.75
		0.5	4.71	4.75	4.77	4.78	4.67	4.74	4.75	4.76
		0.75	4.70	4.75	4.77	4.78	4.66	4.74	4.74	4.75
		1	4.51	4.58	4.62	4.62	4.49	4.55	4.60	4.61
2	0.25	0.25	5.71	5.73	5.74	5.73	5.69	5.72	5.72	5.73
		0.5	5.71	5.73	5.74	5.74	5.69	5.71	5.72	5.73
		0.75	5.52	5.57	5.58	5.59	5.50	5.55	5.56	5.57
		1	4.51	4.58	4.62	4.63	5.49	5.53	5.54	5.55
	0.50	0.25	4.70	4.74	4.77	4.79	4.69	4.72	4.75	4.77
		0.5	4.70	4.76	4.77	4.77	4.68	4.70	4.73	4.75
		0.75	4.70	4.74	4.76	4.78	4.67	4.68	4.70	4.72
		1	4.51	4.58	4.61	4.62	4.47	4.54	4.59	4.60
3	0.25	0.25	5.70	5.73	5.74	5.74	5.69	5.71	5.72	5.72
		0.5	5.70	5.73	5.74	5.74	5.69	5.71	5.72	5.72
		0.75	5.52	5.56	5.58	5.58	5.50	5.55	5.56	5.57
		1	4.51	4.58	4.61	4.62	4.48	4.55	4.58	4.60
	0.50	0.25	4.71	4.75	4.77	4.78	4.69	4.72	4.74	4.77
		0.5	4.70	4.75	4.77	4.78	4.68	4.72	4.74	4.77
		0.75	4.70	4.75	4.77	4.77	4.67	4.71	4.73	4.73
		1	4.51	4.58	4.61	4.63	4.49	4.55	4.59	4.60

Comparison of the variation in Ncs for i=30°_

h₁/B₀	D_f/B₀	c₁/c₂	Xiao et al. (2019)				Present study

			c₁/γB₀				c₁/γB₀

			1	2	4	6	1	2	4	6
0.5	0.25	0.25	5.15	5.20	5.23	5.23	5.11	5.16	5.21	5.21
		0.5	5.15	5.20	5.22	5.23	5.11	5.16	5.21	5.20
		0.75	4.86	4.95	5.00	5.01	4.81	4.88	4.91	4.96
		1	3.88	4.01	4.07	4.09	3.82	4.01	4.03	4.05
	0.50	0.25	4.09	4.18	4.23	4.24	4.05	4.16	4.20	4.21
		0.5	4.09	4.18	4.23	4.24	4.02	4.14	4.18	4.20
		0.75	4.09	4.18	4.23	4.24	4.01	4.12	4.16	4.18
		1	3.88	4.00	4.07	4.09	3.84	3.95	4.02	4.05
1	0.25	0.25	5.15	5.20	5.22	5.23	5.10	5.15	5.20	5.21
		0.5	5.15	5.20	5.22	5.23	5.09	5.13	5.19	5.20
		0.75	4.85	4.95	5.00	5.01	4.80	4.85	4.90	4.93
		1	3.83	3.99	4.06	4.08	3.80	3.92	3.99	4.01
	0.50	0.25	4.10	4.19	4.24	4.25	4.07	4.11	4.20	4.22
		0.5	4.10	4.19	4.23	4.25	4.05	4.10	4.19	4.20
		0.75	4.10	4.19	4.23	4.25	4.04	4.10	4.18	4.19
		1	3.83	3.99	4.06	4.08	3.80	3.95	4.04	4.06
2	0.25	0.25	5.15	5.20	5.22	5.23	5.11	5.17	5.20	5.21
		0.5	5.15	5.20	5.22	5.23	5.10	5.17	5.20	5.21
		0.75	4.85	4.95	5.00	5.01	4.82	4.90	4.96	4.99
		1	3.83	3.99	4.06	4.08	3.81	3.95	4.01	4.04
	0.50	0.25	4.09	4.19	4.23	4.25	4.07	4.15	4.20	4.22
		0.5	4.09	4.19	4.23	4.25	4.05	4.14	4.20	4.21
		0.75	4.09	4.19	4.23	4.25	4.05	4.14	4.20	4.21
		1	3.82	3.98	4.05	4.07	3.80	3.94	4.01	4.04
3	0.25	0.25	5.16	5.20	5.22	5.23	5.11	5.18	5.20	5.21
		0.5	5.16	5.20	5.22	5.23	5.11	5.17	5.20	5.21
		0.75	4.85	4.95	5.00	5.01	4.81	4.92	4.99	5.00
		1	3.83	3.99	4.06	4.08	3.80	3.96	4.03	4.06
	0.50	0.25	4.10	4.19	4.23	4.25	4.07	4.15	4.20	4.23
		0.5	4.09	4.19	4.23	4.24	4.06	4.14	4.20	4.22
		0.75	4.10	4.19	4.23	4.24	4.05	4.12	4.18	4.20
		1	3.83	3.99	4.06	4.08	3.80	3.93	4.03	4.06

Undrained seismic bearing capacity Ncs for strip footing placed adjacent to two layered slope with i=30°_

k_h	D_f/B₀	c₁/c₂	c₁/γB₀				k_h	D_f/B₀	c₁/c₂	c₁/γB₀

			1	2	4	6				1	2	4	6
0	0.25	0.25	5.12	5.16	5.18	5.19	0	0.5	0.25	4.06	4.14	4.21	4.23
		0.5	5.12	5.16	5.18	5.19			0.5	4.05	4.13	4.19	4.22
		0.75	4.82	4.91	4.96	4.97			0.75	4.03	4.11	4.17	4.20
		1	3.8	3.96	4.03	4.05			1	3.8	3.96	4.06	4.08
		1.5	2.23	2.81	2.9	2.93			1.5	2.32	3.01	3.10	3.12
		2	–	2.18	2.3	2.33			2	–	2.45	2.61	2.65
		3	–	1.25	1.68	1.72			3	–	1.44	2	2.06
		4	–	–	1.33	1.38			4	–	–	1.65	1.72
		5	–	–	1	1.17			5	–	–	1.24	1.5
	0.75	0.25	3.82	3.97	4.06	4.09		1	0.25	3.80	3.92	4.04	4.06
		0.5	3.83	3.97	4.06	4.09			0.5	3.80	3.92	4.04	4.06
		0.75	3.82	3.97	4.07	4.09			0.75	3.80	3.91	4.04	4.06
		1	3.8	3.96	4.06	4.09			1	3.82	3.96	4.03	4.05
		1.5	2.51	3.25	3.37	3.41			1.5	2.64	3.44	3.59	3.64
		2	–	2.73	2.9	2.95			2	–	2.96	3.17	3.23
		3	–	1.67	2.31	2.38			3	–	1.86	2.56	2.67
		4	–	–	1.92	2.05			4	–	–	2.17	2.34
		5	–	–	1.5	1.8			5	–	–	1.74	2.07
	1.25	0.25	3.83	3.96	4.03	4.06		1.5	0.25	3.8	3.96	4.03	4.05
		0.5	3.83	3.96	4.03	4.05			0.5	3.79	3.96	4.02	4.04
		0.75	3.83	3.96	4.03	4.05			0.75	3.8	3.96	4.03	4.05
		1	3.83	3.96	4.03	4.05			1	3.8	3.96	4.03	4.05
		1.5	2.74	3.65	3.84	3.9			1.5	2.8	3.84	4.01	4.04
		2	–	3.2	3.45	3.53			2	–	3.41	3.71	3.8
		3	–	2.1	2.9	3.02			3	–	2.33	3.18	3.32
		4	–	–	2.43	2.64			4	–	–	2.69	2.94
		5	–	–	2.02	2.35			5	–	–	2.28	2.64
0.1	0.25	0.25	4.25	4.31	4.34	4.34	0.1	0.5	0.25	3.57	3.68	3.74	3.76
		0.5	4.25	4.31	4.34	4.35			0.5	3.57	3.69	3.74	3.76
		0.75	4.25	4.31	4.33	4.33			0.75	3.57	3.69	3.74	3.76
		1	3.44	3.6	3.67	3.7			1	3.44	3.61	3.68	3.71
		1.5	–	2.6	2.7	2.73			1.5	–	2.82	2.94	2.97
		2	–	2.03	2.15	2.19			2	–	2.29	2.46	2.5
		3	–	–	1.57	1.61			3	–	–	1.89	1.95
		4	–	–	1.23	1.3			4	–	–	1.48	1.64
		5	–	–	–	1.1			5	–	–	–	1.4
	0.75	0.25	3.45	3.61	3.68	3.7		1	0.25	3.44	3.61	3.68	3.7
		0.5	3.45	3.61	3.68	3.7			0.5	3.44	3.61	3.68	3.7
		0.75	3.45	3.61	3.68	3.7			0.75	3.45	3.61	3.68	3.71
		1	3.45	3.61	3.68	3.7			1	3.45	3.61	3.68	3.7
		1.5	–	3.04	3.18	3.22			1.5	–	3.23	3.44	3.5
		2	–	2.55	2.75	2.81			2	–	2.78	3.04	3.12
		3	–	–	2.2	2.28			3	–	–	2.5	2.62
		4	–	–	1.74	1.96			4	–	–	2.03	2.27
		5	–	–	–	1.74			5	–	–	–	1.97
	1.25	0.25	3.45	3.61	3.68	3.67		1.5	0.25	3.44	3.61	3.68	3.7
		0.5	3.44	3.61	3.68	3.67			0.5	3.44	3.61	3.68	3.7
		0.75	3.44	3.61	3.68	3.67			0.75	3.44	3.61	3.68	3.7
		1	3.45	3.61	3.68	3.7			1	3.45	3.62	3.68	3.7
		1.5	–	3.47	3.68	3.71			1.5	–	3.61	3.68	3.7
		2	–	2.95	3.3	3.38			2	–	3.13	3.59	3.68
		3	–	–	2.76	2.91			3	–	–	3.06	3.24
		4	–	–	2.18	2.54			4	–	–	2.33	2.86
		5	–	–	–	2.22			5	–	–	–	2.53

Comparison of the variation in Ncs for i=45°_

h₁/B₀	D_f/B₀	c₁/c₂	Xiao et al. (2019)				Present study

			c₁/γB₀				c₁/γB₀

			1	2	4	6	1	2	4	6
0.5	0.25	0.25	4.57	4.63	4.66	4.67	4.54	4.60	4.62	4.64
		0.5	4.57	4.64	4.66	4.68	4.53	4.60	4.61	4.63
		0.75	4.23	4.34	4.40	4.41	4.21	4.31	4.37	4.40
		1	3.44	3.57	3.63	3.65	3.41	3.53	3.55	3.59
	0.50	0.25	3.49	3.62	3.67	3.70	3.45	3.58	3.62	3.67
		0.5	3.49	3.61	3.67	3.70	3.44	3.59	3.60	3.67
		0.75	3.49	3.61	3.68	3.70	3.43	3.56	3.59	3.66
		1	3.44	3.57	3.63	3.65	3.42	3.53	3.56	3.64
1	0.25	0.25	4.57	4.63	4.66	4.67	4.55	4.60	4.63	4.65
		0.5	4.57	4.63	4.66	4.68	4.54	4.58	4.62	4.64
		0.75	4.13	4.28	4.35	4.37	4.11	4.25	4.33	4.35
		1	3.16	3.41	3.51	3.54	3.11	3.38	3.50	3.52
	0.50	0.25	3.49	3.61	3.68	3.69	3.45	3.59	3.64	3.67
		0.5	3.49	3.61	3.68	3.69	3.44	3.58	3.63	3.67
		0.75	3.49	3.61	3.68	3.69	3.43	3.57	3.63	3.67
		1	3.16	3.41	3.51	3.54	3.12	3.38	3.50	3.52
2	0.25	0.25	4.58	4.64	4.66	4.68	4.54	4.60	4.62	4.66
		0.5	4.58	4.63	4.67	4.68	4.53	4.60	4.61	4.64
		0.75	4.11	4.28	4.35	4.38	4.10	4.25	4.32	4.32
		1	3.15	3.41	3.50	3.54	3.11	3.40	3.48	3.50
	0.50	0.25	3.49	3.61	3.67	3.69	3.44	3.58	3.62	3.64
		0.5	3.49	3.61	3.68	3.69	3.42	3.56	3.61	3.63
		0.75	3.49	3.61	3.67	3.69	3.41	3.54	3.58	3.61
		1	3.15	3.41	3.51	3.54	3.10	3.36	3.52	3.52
3	0.25	0.25	4.58	4.64	4.67	4.67	4.55	4.62	4.64	4.65
		0.5	4.58	4.63	4.67	4.68	4.54	4.60	4.62	4.64
		0.75	4.11	4.28	4.35	4.37	4.08	4.24	4.31	4.35
		1	3.15	3.40	3.51	3.54	3.12	3.36	3.41	3.48
	0.50	0.25	3.49	3.61	3.67	3.69	3.44	3.60	3.62	3.65
		0.5	3.48	3.61	3.67	3.69	3.43	3.60	3.61	3.63
		0.75	3.49	3.61	3.67	3.67	3.42	3.58	3.60	3.63
		1	3.15	3.40	3.51	3.54	3.13	3.38	3.49	3.51

Comparison of variation of seismic bearing capacity (quE) KN/m2 with γ (KN/m3) for the case of φ = 30°, c = 9_8KN/m2, i = 20°, B0 = 10m_

	Sawada et al. (1994)		Askari and Farzaneh (2003)		Yamamoto (2010)		Present Analysis
k_h	γ=9.8	γ=19.8	γ=9.8	γ=19.8	γ=9.8	γ=19.8	γ=9.8	γ=19.8
0.1	1798	3321	1066	1856	1013	1795	1614.14	3139.92
0.2	1770	3269	829	1307	755	1283	654	1167

Comparison of the variation in Ncs with different kh and c1/c2 for i=0° and Df/B0_

k_h	N_cs (Present study)			N_cs (Jahani et al. 2019)

	c₁/c₂=0.25	c₁/c₂=0.50	c₁/c₂=0.75	c₁/c₂=0.25	c₁/c₂=0.50	c₁/c₂=0.75
0	5.62	3.94	3.06	5.67	4	3.1
0.1	5.20	3.48	2.75	5.25	3.58	2.73
0.2	4.04	3.04	2.37	4.44	3.12	2.4
0.3	3.38	2.65	2.12	3.47	2.7	2.15

Comparison of the variation in Ncs with different cu/γB0, Df/B0, c1/c2 for i=30°_

c_u/γB₀	N_cs (Present study)				N_cs (Wu et al. 2020)

	D_f/B₀=0.5, c₁/c₂=0.5	D_f/B₀=1.5, c₁/c₂=0.5	D_f/B₀=1.5, c₁/c₂=1.5	D_f/B₀=0.5, c₁/c₂=1.5	D_f/B₀=0.5, c₁/c₂=0.5	D_f/B₀=1.5, c₁/c₂=0.5	D_f/B₀=1.5, c₁/c₂=1.5	D_f/B₀=0.5, c₁/c₂=1.5
1	4.06	3.78	2.78	2.34	4.05	3.79	2.8	2.34
2	4.15	3.92	3.05	2.95	4.16	3.96	3.01	3.01
4	4.20	4.02	3.11	3.04	4.19	4.02	3.12	3.12
6	4.22	4.04	3.22	3.10	4.2	4.04	3.15	3.15
8	4.24	4.06	3.23	3.14	4.21	4.05	3.17	3.17
10	4.25	4.08	3.24	3.16	4.22	4.6	3.17	3.17

Seismic bearing capacity of shallow strip footing embedded in slope resting on two-layered soil

Figures & Tables

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Undrained seismic bearing capacity Ncs for strip footing placed adjacent to two layered slope with i=15°_

Comparison of the variation in Ncs for i=15°_

Comparison of the variation in Ncs for i=30°_

Undrained seismic bearing capacity Ncs for strip footing placed adjacent to two layered slope with i=30°_

Comparison of the variation in Ncs for i=45°_

Comparison of variation of seismic bearing capacity (quE) KN/m2 with γ (KN/m3) for the case of φ = 30°, c = 9_8KN/m2, i = 20°, B0 = 10m_

Comparison of the variation in Ncs with different kh and c1/c2 for i=0° and Df/B0_

Comparison of the variation in Ncs with different cu/γB0, Df/B0, c1/c2 for i=30°_

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