A multistory building with a basement is to be constructed. Top 4 m consists of loose silt, below which dense sand layer is present upto a great depth. Ground water table is at the surface. The foundation consists of the basement slab of 6 m width which will rest on the top of dense sand as shown in the figure. For dense sand, saturated unit weight = 20 kN/m³ and bearing capacity factors N₁ = 40 and N, = 45. For loose silt, saturated unit weight = 18 kN/m³, N₁ = 15 and N, = 20. Effective cohesion C is zero for both soils. Unit weight of water is 10 kN/m³. Neglect shape factor and depth factor. Average elastic modulus E and Poisson's ratio of dense sand is 60 × 103 kN/m² and 0.3 respectively. Ground surface X 4 m Loose silt + Basement foundation slab 6 m * Loose silt Dense sand (i) Using factor of safety = 3, the net safe bearing capacity (in kN/m²) of the foundation is ? (ii) The foundation slab is subjected to vertical downward stresses equal to net safe bearing capacity derived in the above question (i). Using influence factor I, = 2.0, and neglecting embedment depth and rigidity corrections, calculate the immediate settlement of the dense sand layer.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A multistory building with a basement is to be
constructed. Top 4 m consists of loose silt, below which
dense sand layer is present upto a great depth. Ground
water table is at the surface. The foundation consists of
the basement slab of 6 m width which will rest on the
top of dense sand as shown in the figure. For dense sand,
saturated unit weight = 20 kN/m³ and bearing capacity
factors N₁ = 40 and N, = 45. For loose silt, saturated unit
weight = 18 kN/m³, N₁ = 15 and N, = 20. Effective cohesion
C is zero for both soils. Unit weight of water is 10 kN/m³.
Neglect shape factor and depth factor. Average elastic
modulus E and Poisson's ratio of dense sand is 60 ×
103 kN/m² and 0.3 respectively.
Ground
surface
X
4 m
Loose silt
+
Basement
foundation
slab
6 m
*
Loose silt
Dense sand
(i) Using factor of safety = 3, the net safe bearing capacity
(in kN/m²) of the foundation is ?
(ii)
The foundation slab is subjected to vertical downward
stresses equal to net safe bearing capacity derived in
the above question (i). Using influence factor I, = 2.0,
and neglecting embedment depth and rigidity
corrections, calculate the immediate settlement of the
dense sand layer.
Transcribed Image Text:A multistory building with a basement is to be constructed. Top 4 m consists of loose silt, below which dense sand layer is present upto a great depth. Ground water table is at the surface. The foundation consists of the basement slab of 6 m width which will rest on the top of dense sand as shown in the figure. For dense sand, saturated unit weight = 20 kN/m³ and bearing capacity factors N₁ = 40 and N, = 45. For loose silt, saturated unit weight = 18 kN/m³, N₁ = 15 and N, = 20. Effective cohesion C is zero for both soils. Unit weight of water is 10 kN/m³. Neglect shape factor and depth factor. Average elastic modulus E and Poisson's ratio of dense sand is 60 × 103 kN/m² and 0.3 respectively. Ground surface X 4 m Loose silt + Basement foundation slab 6 m * Loose silt Dense sand (i) Using factor of safety = 3, the net safe bearing capacity (in kN/m²) of the foundation is ? (ii) The foundation slab is subjected to vertical downward stresses equal to net safe bearing capacity derived in the above question (i). Using influence factor I, = 2.0, and neglecting embedment depth and rigidity corrections, calculate the immediate settlement of the dense sand layer.
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