PSI - Issue 6

L.N. Kondratieva et al. / Procedia Structural Integrity 6 (2017) 101–108 L.N. Kondratieva, V.M. Popov,P.Ye. Medvedsky/ Structural Integrity Procedia 00 (2017) 000 – 000

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Fig. 3. Computational model of sheet-pile wall for 3-D modeling.

Calculate equivalent stiffness of slabby elements: E 1 = 12 E s I 1 / h 3 ; E

3 ;

2 = 12 E s I 2 / h

G 12 = 6 E s I 12 /[(1 + ν s ) h 3 ); G 13 = E s A 13 /[2(1 + ν s ) h ] ≈ E s ( A /3)/(2 h ) ≈ E s A /(6 h ); G 23 = E s A 23 /[2(1 + ν s ) h ] ≈ E s ( A /10)/(2 h ) ≈ E s A /(20 h ); ν 12 ≈ 0, 3 ] ≈ 6 E s I 1 /(10 h

where E 1 & E 2 – modulus of elasticity of sheet piling in axes 1 & 2 (Fig. 3); E s – modulus of elasticity of steel; ν s – Poisson's ratio for steel; I 1 & I 2 – inertia moments of cross section of 1 running meter of wall for flexure along axes 1 & 2 ; h – distance between feather pieces; A – cross section area of 1 running meter of wall; G 12 – modulus of shearing in wall plane(plane formed by axes 1 and 2 ); G 13 – modulus of shearing in plane formed by axes 1 & 3 ; G 23 – modulus of shearing in plane formed by axes 2 & 3 . Calculation of corset depth effect produced on final soil settlement is done for р loads exceeding design soil resistance: 200 kPa (p≈1.4R), 300 kPa (p≈2R), 500 kPa (p≈3.4R). Placing the corset in proximity to foundation is limiting the growth of and loads sideward thus preventing soil body from changing its form; therefore, soil settlement will be reduced and its bearing capacity will increase. However, soil bearing capacity growth is causing corset internal vertical stresses to increase which factor is leading to increase of compressible thickness of soil. It takes place due to and concentration near the sheeting walls. Let's investigate dependence of stresses upon corset depth at 300 kPa (Fig. 4). а) b)

c)

d)