Worked Example T-shaped Gravity Wall - Eurocodes - Europa

Eurocodes: Background & Applications GEOTECHNICAL DESIGN with worked examples 13-14 June 2013, Dublin Worked example – T-shaped gravity wall Dr Andrew Bond Director, Geocentrix Ltd Chairman TC250/SC7 Dublin .Eurocodes: Background & Applications GEOTECHNICAL DESIGN with worked examples Worked example – T-shaped T shaped gravity wall DESIGN SITUATION 13-14 June 2013. All rights reserved . 13-14 J Dublin D bli Design situation for gravity wall example 3 ©2005-13 Geocentrix Ltd.Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June. h = K a .v = K a .Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June. 13-14 J Dublin D bli Earth pressure theory Use Rankine’s equation for Ka: Ka .β × cos β K a . All rights reserved .β ⎛ cos β − cos 2 β − cos 2ϕ =⎜ ⎜ cos β + cos 2 β − cos 2ϕ ⎝ ⎞ ⎟ cos β ⎟ ⎠ Horizontal and vertical component of Ka are: K a .β × sin β ( = K a .h × tan β ) 4 ©2005-13 Geocentrix Ltd. 82 ⎞ = 19 × 2.7 × 6 = 105kN k m Self-weight of wall base Wbase . All rights reserved . 13-14 J Dublin D bli Some numbers to save you time. Self-weight of wall stem Wstem .8 × 3.k ⎛ H + hf ⎞ = γ k × bheel × ⎜ ⎟ 2 ⎝ ⎠ ⎛ 6 + 6.k × t s × H = 25 × 0..Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June.k × t b × B = 25 × 0.9 = 78kN m Self-weight of backfill 5 Wfill ..25 × ⎜ = 274 kN m ⎟ 2 ⎝ ⎠ ©2005-13 Geocentrix Ltd.k = γ c .k = γ c . 8 27 13 2 13.3 26 11.Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June.4 25 10.6 34 29.7 33 26.7 38 48.9 36 37. All rights reserved .1 24 9.9 29 16.4 39 56.2 23 8.0 ©2005-13 Geocentrix Ltd.1 31 20.6 22 7.8 32 23.7 35 33.9 28 14.2 37 42 9 42.4 30 18 4 18.4 21 7. 13-14 J Dublin D bli Bearing capacity coefficients 6 ϕ Nq ϕ Nq 20 64 6. 5. 13-14 J Dublin D bli Worksheet – T-shaped gravity wall Calculate: 1. Moments about wall toe.Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June. Earth pressure coefficient Ka 2. the determine eccentricity of loading 3. inclined loads 4 Sliding resistance 4. Bearing resistance under eccentric. Toppling resistance 7 ©2005-13 Geocentrix Ltd. All rights reserved . Eurocodes: Background & Applications GEOTECHNICAL DESIGN with worked examples Worked example – T-shaped T shaped gravity wall SOLUTION 13-14 June 2013. Dublin . 06 m Same as DA2* 31% 31% 31% FO = 4.63 m 3. All rights reserved .Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June.05 m 2. 13-14 J Dublin D bli Solutions DA1/DA2* – T-shaped gravity wall Verification DA1 DA2* Traditional DA1-1 DA1 1 DA1-2 DA1 2 Sliding 66% 85% 99% Fs = 1.52 Bearing 125% 230% 93% Fb = 2.42 m Effective width 2.64 m 0.03 Eccentricity 0.35 Toppling 9 ©2005-13 Geocentrix Ltd.92 m 0. Eurocodes: Background & Applications GEOTECHNICAL DESIGN with ith worked k d examples l 13 14 June. All rights reserved .0 DA1 requires a wall base of width B ≥ 5. 13-14 J Dublin D bli Summary of key points DA2* requires a wall base of width B ≥ 3.93 3 93 Main difference between DAs 1 and 2* is bearing resistance Calculated load eccentricity is very different Effective width is much smaller in DA1 10 ©2005-13 Geocentrix Ltd.5 and Fb = 2.86 1 86 and d Fb = 3.1 m E i l t to Equivalent t ttraditional diti l Fs = 1.9 m Equivalent to traditional Fs = 1. Eurocodes: Background & Applications GEOTECHNICAL DESIGN with worked examples blog.decodingeurocode7.eurocode7. Dublin .decodingeurocode2.com DECODING THE EUROCODES 13-14 June 2013.com www.com g www. Dublin Geotechnical design with ith worked k d examples eurocodes.eu .europa.ec.jrc.Eurocodes: Background & Applications GEOTECHNICAL DESIGN with worked examples 13-14 June 2013.