TR 334: Foundation Engineering I 2E Units – Core By Dr. Siya Rimoy University of Dar es Salaam College of Engineering and Technology Department of Transportation & Geotechnical Engineering 2014/2015. •Course contents 1. 2. 3. 4. 5. Vertical stresses within a soil mass Deformation and settlements of soils Bearing capacity of soils Stability of soil slopes Horizontal stresses within a soil mass Chapter 2: Deformation and settlements of soils Chapter contents General considerations Principles of settlements computation Differential settlements Allowable settlements Rate of settlements Chapter 2: Deformation and settlements of soils General considerations Settlement is the vertical downward displacement of the ground (cf. heave). Settlements can be caused by several aspects including; 1) Compaction 2) Consolidation 3) Elastic (or immediate) movement 4) Moisture movement (Shrinkage and swelling) 5) Vegetation effects 6) Groundwater lowering 7) Temperature changes 8) Seepage and scouring (Erosion) Chapter 2: Deformation and settlements of soils Principles of settlement computation Foundation engineers can avoid a number of the causes of settlements but have to quantity the unavoidable ones, for example, stresses changes in the ground as a result of engineering structures. produced by stresses changes are given by; Total settlements, Where; - Immediate (elastic) settlement - (Primary) Consolidation settlement - Secondary settlement Chapter 2: Deformation and settlements of soils Principles of settlement computation Chapter 2: Deformation and settlements of soils Principles of settlement computation Immediate (elastic) settlement, In the case of uniform loading, the vertical surface displacement of a soil layer of infinite depth is given by; ν Where q – intensity of contact pressure B – least lateral dimension (breadth or diameter) ν – Poisson’s ratio E – Modulus of elasticity - Influence factor for vertical displacement Chapter 2: Deformation and settlements of soils Principles of settlement computation Immediate (elastic) settlement, (cont…) Influence factors ( ) for immediate settlement are readable from derived tables Chapter 2: Deformation and settlements of soils Principles of settlement computation Immediate (elastic) settlement, (cont…) Chapter 2: Deformation and settlements of soils Principles of settlement computation Consolidation settlement, a) By oedometer load – settlement curves method Chapter 2: Deformation and settlements of soils Principles of settlement computation Consolidation settlement, a) By load – settlement curves method (cont…) Chapter 2: Deformation and settlements of soils Principles of settlement computation Consolidation settlement, a) By Oedometer mv method Chapter 2: Deformation and settlements of soils Principles of the settlement computation Secondary settlements, Occurs at the end of consolidation (primary) settlements Chapter 2: Deformation and settlements of soils Principles of the settlement computation Secondary settlements, Secondary settlements can then be obtained from the laboratory test results as t1 – reference time, typically 1 year to allow for construction period and primary consolidation and, t2 – is the design life of the structure – can be obtained from oedometer test by continued reading after EoP Chapter 2: Deformation and settlements of soils Settlements of Rigid Footings Since rigid footings have infinite bending resistance, the deformations of such footings doesn’t follow the deformation of the subsoil. Chapter 2: Deformation and settlements of soils Settlements of Rigid Footings To calculate the mean settlement Sm of a rigid footing we consider a characteristic point Pc under the footing. Pc is defined such that the settlement below Pc for a completely flexible load causing the mean soil pressure qm is equal to the mean settlement sm of the considered rigid building. Chapter 2: Deformation and settlements of soils Settlements of Rigid Footings The vertical stress at a depth z below the characteristic point Pc of a uniformly loaded rectangular rigid footing with dimensions l and b can be expressed as; Where is an influence factor from the derived table adjacent Chapter 2: Deformation and settlements of soils Settlements of Rigid Footings The vertical stress at a depth z below different points of a uniformly loaded circular area; Where is an influence factor from the derived table adjacent Chapter 2: Deformation and settlements of soils Differential settlements The magnitude of uniform settlements may not be as a structurally distressing as differential settlements. The possible causes of differential settlements include; Chapter 2: Deformation and settlements of soils Differential settlements The possible causes of differential settlements include; (cont…) Chapter 2: Deformation and settlements of soils Differential settlements Differential settlements can be assessed in terms of the angular distortion of a structure or part of it. Chapter 2: Deformation and settlements of soils Effects of settlements 1) Affects the appearance of structures by cracks and tilting 2) May interfere with the function of utilities and machinery in a structure 3) May cause structural failure of buildings even though the factor of safety against shear failure has not been reached