5. Based on one-dimensional consolidation test results on a clay, the coefficient of consolidation for a given pressure range was obtained as 9x 10-3 mm²/s. In the field, there is a 4 m-thick layer of the same clay with one-way drainage. Based on the assumption that a uniform surcharge of 90 kN/m2 was to be applied instantaneously, the total consolidation settlement was estimated to be 160 mm. However, during the construction, the loading was gradual; the resulting surcharge can be approximated as Estimate the settlement at (a) t-45 day and (b) 150 days. kN 90 a(m²) = 90t kN 9 (m²) = 90 for t ≤90 days for t > 90 days
5. Based on one-dimensional consolidation test results on a clay, the coefficient of consolidation for a given pressure range was obtained as 9x 10-3 mm²/s. In the field, there is a 4 m-thick layer of the same clay with one-way drainage. Based on the assumption that a uniform surcharge of 90 kN/m2 was to be applied instantaneously, the total consolidation settlement was estimated to be 160 mm. However, during the construction, the loading was gradual; the resulting surcharge can be approximated as Estimate the settlement at (a) t-45 day and (b) 150 days. kN 90 a(m²) = 90t kN 9 (m²) = 90 for t ≤90 days for t > 90 days
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Problem Statement:**
Based on one-dimensional consolidation test results on a clay, the coefficient of consolidation for a given pressure range was obtained as \(9 \times 10^{-3} \, \text{mm}^2/\text{s}\). In the field, there is a 4 m-thick layer of the same clay with one-way drainage. Based on the assumption that a uniform surcharge of \(90 \, \text{kN/m}^2\) was to be applied instantaneously, the total consolidation settlement was estimated to be 160 mm.
However, during the construction, the loading was gradual; the resulting surcharge can be approximated as:
\[
q \left( \frac{\text{kN}}{\text{m}^2} \right) = \frac{90}{90} t \quad \text{for } t \leq 90 \text{ days}
\]
\[
q \left( \frac{\text{kN}}{\text{m}^2} \right) = 90 \quad \text{for } t > 90 \text{ days}
\]
**Tasks:**
Estimate the settlement at
(a) \(t = 45\) days and
(b) \(t = 150\) days.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe38bbf6b-f72d-45f6-b779-5783494b3fda%2F5b02ff3f-bbc4-4dca-9671-951fb97a4f17%2Fjiwpre4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Based on one-dimensional consolidation test results on a clay, the coefficient of consolidation for a given pressure range was obtained as \(9 \times 10^{-3} \, \text{mm}^2/\text{s}\). In the field, there is a 4 m-thick layer of the same clay with one-way drainage. Based on the assumption that a uniform surcharge of \(90 \, \text{kN/m}^2\) was to be applied instantaneously, the total consolidation settlement was estimated to be 160 mm.
However, during the construction, the loading was gradual; the resulting surcharge can be approximated as:
\[
q \left( \frac{\text{kN}}{\text{m}^2} \right) = \frac{90}{90} t \quad \text{for } t \leq 90 \text{ days}
\]
\[
q \left( \frac{\text{kN}}{\text{m}^2} \right) = 90 \quad \text{for } t > 90 \text{ days}
\]
**Tasks:**
Estimate the settlement at
(a) \(t = 45\) days and
(b) \(t = 150\) days.
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