Timoshenko Beams on Winkler-Pasternak Foundations for Analyzing Deformation of Primary Key Stratum in Backfill Mining

Dataset content: This dataset contains the numerical simulation and theoretical model calculation results of key layer (PKS) deformation and overlying rock movement under solid backfill mining conditions, including the following core contents: Numerical simulation data FLAC3D 7.0 modeling parameters (geometric dimensions, boundary conditions, and material mechanics parameters are shown in Table 1). The stress distribution (Figure 4), displacement field (Figure 5), and key monitoring point data (Table 2) of the overlying rock under different filling advancement lengths (50 m, 100 m, 150 m, 200 m). The vertical stress, maximum settlement value, and influence radius of the hardtop plate (key layer). Theoretical model data Analytical solution of differential equation for Timoshenko Pasternak elastic foundation beam model (Equation 3-6). The segmented function calculation results of key layer deflection, rotation angle, bending moment, and shear force (Figure 7-9). Sensitivity analysis data for different coal seam thicknesses (M), burial depths (D), and foundation coefficients (k ₂). Engineering background data Geological parameters of CT3401 working face in Datong coalfield, Shanxi, China, including coal seam thickness, rock elastic modulus, Poisson's ratio, etc. The composite foundation coefficient (k ₁=6.3 × 10 ⁹ N/m ², k ₂=1.2 × 10 ⁸ N/m ²) and shear layer stiffness (G ₁, G ₂) of the filling body and coal pillar area. Data generation method: Numerical simulation: Based on the Mohr Coulomb constitutive model, FLAC3D 7.0 was used to simulate the stress-strain field during the filling mining process. Theoretical model: By coupling the Timoshenko beam shear effect with the Pasternak foundation interaction, the fourth-order non-homogeneous differential equation (Equation 3) is solved to obtain the analytical solution for the deformation of the key layer.