PE-23-Sheet-Pile-Walls

# PE-23-Sheet-Pile-Walls - 23 Sheet-piling Retaining Walls 01...

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23 - Sheet-piling Retaining Walls 01. Free-Earth method for cantilevered walls granular soils. 02. Free-Earth method cantilevered walls in cohesive soils. 03. Free-Earth method for anchored walls in granular soils. 04. Free-Earth method for anchored walls in cohesive soils. 560

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**Sheet-pile Wall-01: Free-Earth for cantilevered walls in granular soils. (Revision: February 18, 2009) Select an appropriate steel sheet-pile section and its total length L to retain a medium sand backfill for the conditions shown below without an anchoring system. Solution: Step 1. Determine the pressures on the cantilevered wall. 580
Step 2. Determine the depth of embedment D . The procedure will follow the following steps: a) From statics, find the dimension z shown in the figure of previous page, b) Assume a value for D , c) Calculate z , d) Use z to check if Σ M = 0; adjust D for convergence. ( ) () ( ) () ( ) () Step 3. Determine the maximum moment Mmax (point of zero shear). 11 2 1 2 2 2 22 10 0 0 2 2 20 2 6 Σ= ++ = ⎛⎞ −+ = ⎜⎟ ⎝⎠ −− = + H AAA E J E A EA EJ AA E J E F a BAA Area AA A F Area ECJ Area EA A Dz D H p p p pp lving for z, ppDH p M about any point, say F , HD z Hp D p p p p Are 1 So z 1 0 66 +− = A DD p 1 23 ( ) ( ) ( ) ( ) ( )( ) 1 2 10 5 435 620 14 860 3860 3 860 435 10 5 14 435 160 14 860 3 860 10 5 10 5 1 14 435 10 5 4 67 435 620 435 105 3 860 14 860 3 860 620 730 = = = = = == + =+ + + = 6 A A J E F D . feet, s f , s f , p, p s f p,p s f ,. herefore, z . feet ,, .. M. . Try t , f tl b 10 5 30 13 5 = ∴= his value is close to zero, therefore adopt D . feet. ncrease D by % as a factor of safety, D . T I 581

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() ( ) ( ) ( ) 1 11 21 2 12 435 106 65 6 29 435 14 3 040 22 435 1 0 218 1 2 == = = = −= + A ' pa A A ' p y . feet . KK Pp H , l b y . l b also, KKxPP γ ( ) ( ) 2 2 3 2 2 33 1 2 3 2 2 3 040 218 16 4 0 65 6 29 1 43 2 8 0 2 3 2 3 3 210 14 4 0 3 040 1 0 4 0 218 4 0 3 280 29 ++ 3 = = =−= =+ − =+ + = ⎛⎞ =+ −= ++ + + − ⎜⎟ ⎝⎠ = ' ' max max max PP , x x . feet . PK K , l b MP l P l P l where, H ly x y lx x l . . l P l P l, . . . , M 300 1 030 4 360 26 000 312 +− = = − , , , , ft lb in kips 582
583

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() ( ) 3 3 45 29 26 000 12 10 8 29 000 116 10 7 −− = == = −= s max s If instead , an Ex Ten steel sec tion is used , f ksi , M The required sec tion mod ulus S . in f, Use a MP that provides a S . in at a lower cos t. This is shown plotted with the red lines. Step 5. Determine the sheet-pile length L . The total sheet-pile length L = H + D = 14.0 + 13.5 = 27.5 feet 584
**Sheet-pile Wall-02: Free-Earth for cantilevered walls in cohesive soils. (Updated: 9 April 2008) Determine the required length L of steel sheet-piles for the site conditions shown below for an unanchored wall.

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PE-23-Sheet-Pile-Walls - 23 Sheet-piling Retaining Walls 01...

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