A 1.5 m x 1.5 m footing is carrying a 400 kN load as shown in the figure below. Depth (m) 0.0 1.0 2.0 3.5 6.0 Df Groundwater Sandy table soil (Yw= 9.81 kN/m³) Stiff Clay (OCR = 2) Bedrock Yt 16.5 kN/m³ E = 9,000 kPa Ysat 17.5 kN/m³ E 15,000 kPa Ysat 18.0 kN/m³ eo = 0.8 Cc = 0.15, C = 0.02 Eu 40,000 kPa (a) Estimate the immediate settlement beneath the center of the footing. Assuming that Poisson's ratios of sand and soft clay are 0.3 and 0.5, respectively. Use numerical integration approach. For the calculations, use layers (below the bottom of the footing) of thicknesses: 1 m; 1.5 m, and 2.5 m. (b) Determine the primary consolidation settlement beneath the center of the footing. Note: Use the 2:1 method to determine the stress increase below the footing.

A 1.5 m x 1.5 m footing is carrying a 400 kN load as shown in the figure below. Depth (m) 0.0 1.0 2.0 3.5 6.0 Df Groundwater Sandy table soil (Yw= 9.81 kN/m³) Stiff Clay (OCR = 2) Bedrock Yt 16.5 kN/m³ E = 9,000 kPa Ysat 17.5 kN/m³ E 15,000 kPa Ysat 18.0 kN/m³ eo = 0.8 Cc = 0.15, C = 0.02 Eu 40,000 kPa (a) Estimate the immediate settlement beneath the center of the footing. Assuming that Poisson's ratios of sand and soft clay are 0.3 and 0.5, respectively. Use numerical integration approach. For the calculations, use layers (below the bottom of the footing) of thicknesses: 1 m; 1.5 m, and 2.5 m. (b) Determine the primary consolidation settlement beneath the center of the footing. Note: Use the 2:1 method to determine the stress increase below the footing.

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Load and resistance factor design

Load and resistance factors design (LRFD), also known as Limit state design (LSD), refers to the design method used in building engineering. A boundary condition is a condition of a structure where it can no longer meet the relevant design requirements. The condition may refer to the load level or other actions on the structure, while the terms refer to the integrity of the structure, suitability for use, durability, or other design requirements. A structure designed for LRFD is limited to keeping track of all possible actions during its design time and is always ready for use, with the appropriate level of reliability in each boundary condition. LRFD-based construction codes clearly define the appropriate levels of reliability in their instructions.

Question

A 1.5 m × 1.5 m footing is carrying a 400 kN load as shown in the figure below.
Depth (m)
0.0
1.0
2.0
3.5
6.0
Df
P
Groundwater Sandy
table
soil
(w = 9.81 kN/m³):
Stiff Clay
(OCR = 2)
Bedrock
Yt = 16.5 kN/m³
E 9,000 kPa
Vsat =
E 15,000 kPa
17.5 kN/m³
=
Ysat
eo
0.8
Cc = 0.15, Cr = 0.02
Eu
40,000 kPa
=
18.0 kN/m³
(a) Estimate the immediate settlement beneath the center of the footing. Assuming that
Poisson's ratios of sand and soft clay are 0.3 and 0.5, respectively. Use numerical
integration approach. For the calculations, use layers (below the bottom of the footing) of
thicknesses: 1 m; 1.5 m, and 2.5 m.
(b) Determine the primary consolidation settlement beneath the center of the footing.
Note: Use the 2:1 method to determine the stress increase below the footing.

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