As indicated in the following figure, an incompressible silty sand fill 16.4 ft thick was placed on top of a 49.2 ft thick layer of soft and compressible silty clay. Underlying the clay is a layer of incompressible sandy gravel. The soil properties of the silty clay layer are given in the following figure. The ultimate settlement, Sult = 5.64 ft, from the primary consolidation of silty clay layer due to the weight of the silty sand fill is calculated. O ft Fill Material - Silty Sand (SM), y = 124.86 pcf, 16.4 ft Silty Clay (CL) 94.89 pcf Y = Normally Consolidated e, = 1.1 Cc = 0.36 %3D Ca= 0.06 Cy = 9.235 ft/year 65.6 ft Dense Sandy Gravel (GP), Incompressible layer 82.0 ft A) Find the time rate of settlement by showing the Time [year] vs. Settlement [ft] curve. Show sample calculation when percentage of consolidation, Ugyg = 50%

As indicated in the following figure, an incompressible silty sand fill 16.4 ft thick was placed on top of a 49.2 ft thick layer of soft and compressible silty clay. Underlying the clay is a layer of incompressible sandy gravel. The soil properties of the silty clay layer are given in the following figure. The ultimate settlement, Sult = 5.64 ft, from the primary consolidation of silty clay layer due to the weight of the silty sand fill is calculated. O ft Fill Material - Silty Sand (SM), y = 124.86 pcf, 16.4 ft Silty Clay (CL) 94.89 pcf Y = Normally Consolidated e, = 1.1 Cc = 0.36 %3D Ca= 0.06 Cy = 9.235 ft/year 65.6 ft Dense Sandy Gravel (GP), Incompressible layer 82.0 ft A) Find the time rate of settlement by showing the Time [year] vs. Settlement [ft] curve. Show sample calculation when percentage of consolidation, Ugyg = 50%

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Calculation of Settlement

The vertical displacement of the structural foundation due to the loading from the superstructure is known as settlement. It is due to the reduction of air voids present in the soil. The amount of vertical displacement depends on the bearing capacity of the soil on which the foundation is laid. The effect of the settlement depends on the magnitude of settlement, uniformity, and the structural design of the structure. The maximum allowable settlement for residential and office buildings should be less than 18 mm, for industrial buildings, it is 38 mm and for commercial buildings, it is 25 mm.

Question

As indicated in the following figure, an incompressible silty sand fill 16.4 ft thick was
placed on top of a 49.2 ft thick layer of soft and compressible silty clay. Underlying the
clay is a layer of incompressible sandy gravel. The soil properties of the silty clay layer are
given in the following figure. The ultimate settlement, Sult = 5.64 ft, from the primary
consolidation of silty clay layer due to the weight of the silty sand fill is calculated.
O ft
Fill Material - Silty Sand
(SM), y = 124.86 pcf,
16.4 ft
Silty Clay (CL)
94.89 pcf
Y =
Normally Consolidated
1.1
e, =
Cc =
0.36
0.06
Cv =
9.235 ft/year
65.6 ft
Dense Sandy Gravel (GP),
Incompressible layer
82.0 ft
A) Find the time rate of settlement by showing the Time [year] vs. Settlement [ft] curve.
Show sample calculation when percentage of consolidation, Ugyg = 50%

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The following figure show the relationship between the voids ratio and effective stress for a soil sample collected from the mid depth of a 6 m thick clay layer. The Cc and Cr values have been determined to be 0.3 and 0.04 respectively. For the given information: If the current effective stress at the mid depth is 70 kPa, calculate the ultimate consolidation settlement when the effective stress at mid depth increases by 10 kPa due to an applied load. If the coefficient of consolidation is 0.555 m2/s and the clay layer is single drained, calculate the time taken to reach 45% consolidation.
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