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Tower of Pisa (Italy) ? Settlement and or Soil Collapse

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Page 1: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Tower of Pisa (Italy)

?Settlement and or

Soil Collapse

Page 2: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Grain Silo in Transcona (Canada)

Page 3: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Failure modes of strip footing

(a) General shear, (b) local shear, (c) punching shear in: dense / stiff soil high compressible soils (HCS) HCS / considerable depth.

Page 4: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Plastic Zone Development / Description

Development of Plastic Zone

Page 5: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Bearing capacity of shallow footing

qf = 1/2 γ B Nγ + c Nc + γ D Nq (K. Terzaghi)

Nq = exp (π tan φ) * tan2 (45° + φ/2) Nc = (Nq � 1) * cot φ Nγ = 1,8 (Nq � 1) * tan φ

square: sγ = 0,8 sc = 1,2 and circular: sγ = 0,6 sc = 1,2

Page 6: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Footing depth

Page 7: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

BearingCapacity

Factors

Page 8: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Bearing capacity of shallow footing

Influence of size, ground water and weak stratum

Page 9: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Contact Stress Distribution

k = E/Edef . (T/L)3 If k > 1.0 Stiff Footing

Page 10: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Footings Subjected to Moment

Page 11: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Footing subjected to moment andhorizontal load

Page 12: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Design Chart:

Bearingcapacitywithrespect to acceptablesettlement

Page 13: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Degree of Consolidation - SF

2htcT v ⋅=

Page 14: Tower of Pisa (Italy)departments.fsv.cvut.cz/k135/data/wp-upload/2009/... · Tower of Pisa (Italy)? Settlement and or Soil Collapse. Grain Silo in Transcona (Canada) Failure modes

Degree of Consolidation - VD