Figure 10.56 shows the schematic of a circular water storage facility resting on the ground surface. The radius of the storage tank is R = 2.5 m and the maximum height of water is h_w = 4 m. Determine the vertical stress increase, Δσ_z at points 0, 2, 4, 8, and 10 m below the ground surface along the centerline of the tank. Use Boussinesq’s theory [Eq. (10.31)].

Transcribed Image Text:

Aσ(1) We know that R = 1.5 m, z = 3 m, and q = so Aσ (1) = - (+) {{₁ 150 2 = 1 [(R/z)² + 1]³2] 1 [(1.5/3)² + 113/2] We can see that A-2) = A3). From Eqs. (10.39) and (10.40), 150 kN/m², so 1.5 m= = 0.5 3 21.3 kN/m² n = = = 2.67 From Table 10.11, for m = 0.5 and n = 2.67, the magnitude of 13 = 0.1365. Thus, from Eq. (10.37), Aσ(2) = A0₂(3) = ql3 (150)(0.1365) = 20.48 kN/m² = Ao₂ = 21.3 + 20.48 + 20.48 = 62.26 kN/m²