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Sachpazis_Pile Analysis & Design. Calculation according to EN 1997-1-2004

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GEODOMISI Ltd. - Dr. Costas <strong>Sachpazis</strong><br />

Civil & Geotechnical Engineering Consulting Company for<br />

Structural Engineering, Soil Mechanics, Rock Mechanics,<br />

Foundation Engineering & Retaining Structures.<br />

Tel.: (+30) 210 5238127, 210 5711263 - Fax.:+30 210 5711461 -<br />

Mobile: (+30) 6936425722 & (+44) 7585939944,<br />

www.geodomisi.com - costas@sachpazis.info<br />

Project: <strong>Pile</strong> <strong>Analysis</strong> & <strong>Design</strong>, In<br />

accordance with <strong>EN</strong> <strong>1997</strong>-1:<strong>2004</strong><br />

incorporating Corrigendum dated February<br />

2009 and the recommended values.<br />

Calc.<br />

Dr. C. <strong>Sachpazis</strong><br />

Section<br />

Civil & Geotechnical Engineering<br />

Date<br />

04/01/2016<br />

Chk'd by<br />

Job Ref.<br />

www.geodomisi.com<br />

Sheet no./rev. 1<br />

Date App'd by Date<br />

Sum of moments about point of rotation;<br />

ΣM tr = M trS1 + M trS2 + M trS3 + M trS4 + M trS5 + M trS6 +<br />

M trS7 + M trS8t + M trS8b + M trS9 + M trS10 = -1 kNm<br />

ΣM X = M XS1 + M XS2 + M XS3 + M XS4 + M XS5 + M XS6 +<br />

M XS7 + M XS8t + M XS8b + M XS9 + M XS10 = 58539.2<br />

kNm<br />

Calculated soil lateral resist. (Tomlinson Eqn 7.52); R tr,calc = ΣM X / (e + X) = 4842.3 kN<br />

<strong>Design</strong> lateral action; F tr,d,C2 = γ G,unfav,A2 × G tr,k,unfav - γ G,fav,A2 × G tr,k,fav +<br />

γ Q,A2 × Q tr,k = 1260 kN<br />

<strong>Design</strong> lateral resistance;<br />

R tr,d,C2 = R tr,calc / γ tr,R4 = 4842.3 kN<br />

F tr,d,C2 / R tr,d,C2 = 0.26<br />

PASS - <strong>Design</strong> lateral resistance exceeds lateral load<br />

Lateral deflection analysis (Characteristic values)<br />

Resisting soil is divided in<strong>to</strong> 10 segments <strong>to</strong> determine lateral resistance<br />

From iteration, assume depth of point of rotation; X = 11952 mm<br />

Distance from lateral action <strong>to</strong> ground;<br />

e = e actual = 0 mm<br />

Segment 1 properties:<br />

Depth <strong>to</strong> base of segment from ground;<br />

z Kq1= 1 × L / 10 = 1600 mm<br />

Depth <strong>to</strong> base of segment from <strong>to</strong>p of stratum; z Kc1 = z Kq1 - D strata1 = 1600 mm<br />

Depth <strong>to</strong> pile width ratio for K q; z Kq1 / h = 1<br />

Depth <strong>to</strong> pile width ratio for K c; z Kc1 / h = 1<br />

Effective overburden pressure; p oz1 = p ozS0,k + (z Kq1 - D strata1) × γ' 1,k = 16 kN/m 2<br />

Brinch Hansen coefficient, K q (Tomlison Fig 7.37); K q1 = 1.11<br />

Brinch Hansen coefficient, K c (Tomlison Fig 7.37); K c1 = 6.85<br />

Unit passive resist. at base (Tomlinson Eqn 7.49); p z1 = p oz1 × K q1 + c' 1,k × K c1 = 360.182 kN/m 2<br />

Unit passive resistance at mid-height; p z1,m = (p z1 + p z0) / 2 = 180.091 kN/m 2<br />

Segment lateral point load;<br />

P LatS1 = L / 10 × p z1,m × h = 446.6 kN<br />

Segment moment about applied load;<br />

M trS1 = P LatS1 × (e + (1 - 0.5) × L / 10) = 357.3 kNm<br />

Segment moment about X;<br />

M XS1 = P LatS1 × (X - (1 - 0.5)× L / 10) = 4980.6 kNm<br />

Segment 2 properties:<br />

Depth <strong>to</strong> base of segment from ground;<br />

z Kq2= 2 × L / 10 = 3200 mm<br />

Depth <strong>to</strong> base of segment from <strong>to</strong>p of stratum; z Kc2 = z Kq2 - D strata1 = 3200 mm<br />

Depth <strong>to</strong> pile width ratio for K q; z Kq2 / h = 2.1<br />

Depth <strong>to</strong> pile width ratio for K c; z Kc2 / h = 2.1<br />

Effective overburden pressure; p oz2 = p ozS0,k + (z Kq2 - D strata1) × γ' 1,k = 32 kN/m 2<br />

Brinch Hansen coefficient, K q (Tomlison Fig 7.37); K q2 = 1.22<br />

Brinch Hansen coefficient, K c (Tomlison Fig 7.37); K c2 = 8.51<br />

Unit passive resist. at base (Tomlinson Eqn 7.49); p z2 = p oz2 × K q2 + c' 1,k × K c2 = 464.435 kN/m 2<br />

Unit passive resistance at mid-height; p z2,m = (p z2 + p z1) / 2 = 412.308 kN/m 2<br />

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