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probably and aritmatic, Exercises of Probability and Stochastic Processes

materi nya berisi contoh-contoh soal mekanika tanah

Typology: Exercises

2021/2022

Uploaded on 09/27/2023

illona-putri
illona-putri 🇮🇩

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CHAPTER 11
CH 11, 1PP
(7)
Problem
Refer to Figure 11.3 for the rigid foundation. Given:B= 3 ft;L= 6ft;Df= 3 ft;H= 15
ft;Es= 140 ton/ft2; μs= 0.4; and net increase of pressure on the foundation, Δσ =
4000 lb/ft2. Estimate the elastic settlement.
Figure 11.3Elastic settlement of flexible and rigid foundations
Step-by-step solution
Show all steps
86%(14 ratings) for this solution
Step1/7
Given data:
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CHAPTER 11

CH 11, 1PP

Problem

Refer to Figure 11.3 for the rigid foundation. Given: B = 3 ft; L = 6ft; Df = 3 ft; H = 15 ft; Es = 140 ton/ft2; μs = 0.4; and net increase of pressure on the foundation, Δσ = 4000 lb/ft2. Estimate the elastic settlement. Figure 11.3 Elastic settlement of flexible and rigid foundations

Step-by-step solution

Show all steps 86% (14 ratings) for this solution

Step 1/

Given data:

Width of foundation is. Length of foundation is. Depth of foundation is. Height of foundation above rock is. Average elastic modulus of the soil is Poisson’s ratio is. Net increase in pressure on foundation is. Step 2/ The foundation is shown in the figure.

Step 5/ From the table (Variation of and with and ): For values and , The values are and. Shape factor will be, Step 6/ In order to obtain the value of depth factor, computing and. From the table (Variation of with ): For , and ;

The value of is. Step 7/ Elastic settlement will be, As the foundation is rigid, the settlement is given as, Therefore, the elastic settlement of rigid foundation is.

Step 3/ Elastic settlement is computed using the equation. Where Factor depending on the location of foundation where settlement is being calculated. Shape factor. Depth factor. Shape factor is given by the relation. Step 4/ As settlement is calculated at the center of the foundation.

In order to obtain the values of and , computing the values of , and. For the calculation of settlement at the center of foundation,. Step 5/ From the table (Variation of and with and ): For values and , The values are and. Shape factor will be,

Problem

The following are the results of a consolidation test. a. Plot the e-log σ′ curve b. Using Casagrande's method, determine the preconsolidation pressure c. Calculate the compression index, Cc, from the laboratory e-log σ′ curve Step-by-step solution Show all steps 100% (10 ratings) for this solution Step 1/ a) Tabulate the results of the consolidation test. 1.1 0.

5

Obtain the value of pre consolidation pressure at minimum radius of curvature. Hence, the pre consolidation pressure is. Step 4/ c) Calculate the compression index as follows: . Consider the values of from the obtained graph. Choose the two arbitrary points from the curve and consider the Void ratio and their corresponding pressures. For , ,

Substitute for , for ,. Hence, the compression index is.

(a) The results of the consolidation test are shown in the table. 1.21 25

5

Step 2/ Plot the curve. Step 3/ (b) Determine the preconsolidation pressure using the Casagrande’s method.

From the figure, the minimum radius of curvature occurs at pressure. Therefore, the preconsolidation pressure is. Step 4/ (c) Compression index is calculated using the relation. Choosing two arbitrary points from the curve. Void ratio and their corresponding pressures. For ,. ,. Compressive index will be,

Problem

The results of a laboratory consolidation test on a clay specimen are the following. Given the initial height of specimen = 0.748 in., Gs = 2.68, mass of dry specimen = 95. g, and area of specimen = 4.91 in.2: a. Plot the e-log σ′ curve b. Determine the preconsolidation pressure c. Calculate the compression index, Cc Step-by-step solution Show all steps 100% (9 ratings) for this solution Step 1/ Given that, Initial height of specimen. Specific gravity of the clay.

Mass of dry specimen. Area of the specimen. Step 2/ (a) The results of the consolidation test are shown in the table. Pressure Total height of specimen at the end of consolidation. 500 0. 1000 0. 2000 0. 4000 0. 8000 0. 16000 0. Step 3/ In order to compute the curve, compute the values of void ratio. Void ratio is given by the relation. Where, Difference between height at the end of consolidation and height of solids. Height of solids. Height of solids is given by the relation. Where, Density of water. Step 4/ Density of water is,