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Meyerhof Model This solution considers correction factors for eccentricity, load inclination, and foundation depth. The influence of the shear strength of soil above the base of the foundation is considered in this solution. Therefore, beneficial effects of the foundation depth can be included in the analysis. Assumptions include use of a shape factor Z_q for surcharge, soil at plastic equilibrium, and a log spiral failure surface that includes shear above the base of the foundation. The data below provide the Meyerhof dimensionless bearing capacity and correction factors required for general soil bearing capacity Equation .

Bearing Capacity Factors

Φ	Nc - Cohesion	NY - Wedge	Nq - Surcharge
0	5.14	0.0	1.0
>0	(Nq-1)COT(Φ)	(Nq-1)TAN(1.4Φ)	NΦeπTAN(Φ)

Correction Factors Correction factors are given by the following and are individually calculated as shown below
Cohesion: Z_c = Z_cs Z_ci Z_cd
Wedge: Z_Y = Z_Ys Z_Yi Z_Yd
Surcharge: Z_q = Z_qs Z_qi Z_qd



Foundation
Shape with Eccentricity

Φ	Zcs - Cohesion	ZYs - Wedge	Zqs - Surcharge
0	1+.2NΦB'/W'	1.0	1.0
>10	1+.2NΦB'/W'	1+0.1NΦB'/W'	1+0.1NΦB'/W'
>0<10=<	1+.2NΦB'/W'	interpolate	interpolate

Inclined Loading

Φ	Zci - Cohesion	ZYi - Wedge	Zqi - Surcharge
0	(1-Θ/90)	1.0	(1-Θ/90)
>0	(1-Θ/90)2	for Θ<Φ (1 - Θ/Φ)2 for Θ>Φ 0.0	(1-Θ/90)2

Foundation Depth

Φ	Zcd - Cohesion	ZYd - Wedge	Zqd - Surcharge
0	1+.2NΦ0.5D/B	1.0	1.0
>10	1+.2NΦ0.5D/B	1+.1NΦ0.5D/B	1+.1NΦ0.5D/B
>0<10=<	1+.2NΦ0.5D/B	interpolate	interpolate

Notes:
Eccentricity and Inclined Loading Factors are not to be used simultaniously
Factors not used are equal to 1.0
Φ = Angle of internal friction angle in degrees
N_Φ = TAN²(45 + Φ/2)
B' = effective width of foundation - B - 2e_B in feet
W' = effective lateral width of foundation - W - 2e_W in feet
B = Foundation width in feet
W = foundation lateral width in feet
D = foundation depth in feet
Q = vertical load on foundation - qBW in kips
q = bearing pressure on foundations in ksf
T = horizontal load on foundation - positive - right in kips
R = resultant load on foundation (Q² + T²)^0.5 in kips
Θ = Angle of Resultant load with vertical axis - COS ^-1(Q/R) in degrees
e_B = eccentricity parrallel with B - MB/Q
e_W = eccentricity parrallel with W - MW/Q
MB = Moment parrallel with B - ft-kip
MW = Moment parrallel with W - ft-kip


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