A 3 ft square footing carries a sustained load of 10.6kips. It is placed on the surface of a 30 ft thick saturated overconsolidated clay underlain by dense sand. Based on laboratory tests, the clay can be adequately modeled using the e-log-p method. The laboratory tests provide the following compressibility information for the clay: y = 123.4lb/ft³ = 0.064 1+0 C₂ = 0.0024 1+00 Aom = 920lb/ft² The groundwater table is located at the ground surface. Estimate the primary consolidation occurred in the clay layer. Solution: . Preliminary Calculations: 1). It should be adequate to compute the compressibility to a depth of 2). Layer thickness= ft; 2). Bearing pressure at the bottom of the footing: q = Primary consolidation for each layer: a). Layer 1: 1). depth to layer midpoint = ft; 2). Total vertical stress at midpoint: ₂ = 3). Pore water pressure at midpoint: u = 4). Effective vertical stress at minpoint: ₂ = psf; psf; psf; 9). The type of this layer of soil is : psf; 5). For a conservative design, the max induced vertical stress be taken below the center of footing, thus the influence factor is (using the equation): I = 6). Induced vertial stress: Az = 7). Final vertical effective stress after construction: , = 8). Historical precompresssion effective vertical stress: 0 = 10). Historical precompresssion effective vertical stress: 8₁ = psf; 11). Historical precompresssion effective vertical stress: 8₁ = psf; psf; ft; ft and divided into 3 layers; in. psf;
A 3 ft square footing carries a sustained load of 10.6kips. It is placed on the surface of a 30 ft thick saturated overconsolidated clay underlain by dense sand. Based on laboratory tests, the clay can be adequately modeled using the e-log-p method. The laboratory tests provide the following compressibility information for the clay: y = 123.4lb/ft³ = 0.064 1+0 C₂ = 0.0024 1+00 Aom = 920lb/ft² The groundwater table is located at the ground surface. Estimate the primary consolidation occurred in the clay layer. Solution: . Preliminary Calculations: 1). It should be adequate to compute the compressibility to a depth of 2). Layer thickness= ft; 2). Bearing pressure at the bottom of the footing: q = Primary consolidation for each layer: a). Layer 1: 1). depth to layer midpoint = ft; 2). Total vertical stress at midpoint: ₂ = 3). Pore water pressure at midpoint: u = 4). Effective vertical stress at minpoint: ₂ = psf; psf; psf; 9). The type of this layer of soil is : psf; 5). For a conservative design, the max induced vertical stress be taken below the center of footing, thus the influence factor is (using the equation): I = 6). Induced vertial stress: Az = 7). Final vertical effective stress after construction: , = 8). Historical precompresssion effective vertical stress: 0 = 10). Historical precompresssion effective vertical stress: 8₁ = psf; 11). Historical precompresssion effective vertical stress: 8₁ = psf; psf; ft; ft and divided into 3 layers; in. psf;
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A 3 ft square footing carries a sustained load of 10.6kips. It is placed on the surface of a 30 ft thick saturated overconsolidated clay underlain by dense sand.
Based on laboratory tests, the clay can be adequately modeled using the e-log-p method. The laboratory tests provide the following compressibility information for the clay:
y = 123.4lb/ft³
Cc
= 0.064
1+eo
Cr
1+eo
Aom = 920lb/ft²
The groundwater table is located at the ground surface. Estimate the primary consolidation occurred in the clay layer.
Solution:
Preliminary Calculations:
1). It should be adequate to compute the compressibility to a depth of
= 0.0024
2). Layer thickness =
ft;
2). Bearing pressure at the bottom of the footing: q =
Primary consolidation for each layer:
a). Layer 1:
1). depth to layer midpoint =
2). Total vertical stress at midpoint: Oz
ft;
3). Pore water pressure at midpoint: u =
4). Effective vertical stress at minpoint: Oz!
6). Induced vertial stress: Az
=
=
=
9). The type of this layer of soil is :
psf;
psf;
psf;
5). For a conservative design, the max induced vertical stress be taken below the center of footing, thus the influence factor is (using the equation): Io
=
psf;
7). Final vertical effective stress after construction: Oz's
=
8). Historical precompresssion effective vertical stress: 0
=
=
10). Historical precompresssion effective vertical stress: ₁:
11). Historical precompresssion effective vertical stress: ₁
psf;
-
psf;
psf;
ft;
ft and divided into 3 layers;
in.
psf;
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