PSI - Issue 70

Pradhumn Agrawal et al. / Procedia Structural Integrity 70 (2025) 113–120

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Table.1. Model description

SL no.

Model

Description of the model

1 2 3 4 5 6 7 8 9

MF0

Frame model with fixed base at 0 0 SB Frame model with fixed base at 15 0 SB Frame model with fixed base at 30 0 SB Frame model with fixed base at 45 0 SB Frame model with fixed base at 15 0 SBS Frame model with fixed base at 30 0 SBS Frame model with fixed base at 45 0 SBS Frame model with SSI base at 0 0 SB Frame model with SSI base at 15 0 SB Frame model with SSI base at 30 0 SB Frame model with SSI base at 45 0 SB Frame model with SSI base at 15 0 SBS Frame model with SSI base at 30 0 SBS Frame model with SSI base at 45 0 SBS

MFS15 MFS30 MFS45 MFSS15 MFSS30 MFSS45 MSS15 MSS30 MSS45 MSSS15 MSSS30 MSSS45 MS0

10 11 12 13 14

1.3 Modelling of SSI Spring For considering SSI effect assigned 6 number of springs for each fundamental displacement direction (3 translational and 3 rotational) and the stiffness of each spring is being calculated using formulas given by Gazetas 1991, as given below (Eqs. 1,2,3,4,5,6). = (12− ) [0.73 + 1.54 0.75 ] (1) = (22− ) [2 + 2.5 0.85 ] (2) = − (00.7.25 − ) [1− ] (3) = (1− ) 0.75 ( ) 0.25 [2.4+0.5( )] (4) = (13− ) 0.75 ( ) 0.75 (5) = 3.5 0.75 ( ) 0.4 ( 4 ) 0.2 (6) Where, = 4 2 A b = area of foundation, I bx = moment of inertia about longitudinal axis, I by = moment of inertia about lateral axis Ibz = moment of inertia about vertical axis, B = half of the width of foundation, L=half of the length of foundation, K z = translational stiffness in vertical direction, K y = translational stiffness in lateral direction, K x = translational stiffness in lateral direction, K rx = rotational stiffness about longitudinal direction, K ry = rotational stiffness about lateral axis, K t = rotational stiffness about vertical axis. The soil properties are taken as per Chougule and Dayavanal (2015). Poisson’s ratio = 0.45 and shear modulus = 17241.38 KN/m 2