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3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.?
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3 metre thick layer of silty clay is sandwiched between two layers of ...
Solution:
Given data:
Thickness of silty clay layer (H) = 3 m
Effective overburden pressure at center of silty clay layer (σ°) = 2 kg/cm²
Thickness of sample taken for testing (h) = 2.5 cm
Applied stresses (σ₁ and σ₂) = 2 kg/cm² and 4 kg/cm²
Compression of sample (C₁ and C₂) = 0.26 cm and 0.38 cm
To compute the probable consolidation settlement of the raft, we need to follow the below steps:
Step 1: Calculation of Coefficient of Volume Compressibility (Cv)
Cv = (C₂ - C₁) / (σ₂ - σ₁) x h
= (0.38 - 0.26) / (4 - 2) x 2.5
= 0.24 cm²/kg
Step 2: Calculation of Time Factor (Tv)
Tv = (H²) / (t x Cv)
t = time for 50% consolidation = 1 year (given)
Tv = (3 x 3) / (1 x 0.24)
= 37.5
Step 3: Calculation of Consolidation Settlement (Sc)
Sc = (σ° x H x Cv) / (1 + e₀) x (1 + Tv)
e₀ = void ratio of the soil at the start of consolidation = 1.5 (assumed)
Sc = (2 x 3 x 0.24) / (1 + 1.5) x (1 + 37.5)
= 0.0123 m or 1.23 cm
Therefore, the probable consolidation settlement of the raft is 1.23 cm.
Explanation:
- Consolidation settlement occurs in fine-grained soils due to the expulsion of water from the soil voids under applied load.
- Coefficient of Volume Compressibility (Cv) is a measure of the rate at which the soil volume decreases under an increase in effective stress.
- Time factor (Tv) is a measure of the time required for a soil layer to achieve a certain degree of consolidation under a given load.
- Consolidation settlement (Sc) is the amount of settlement that occurs due to the expulsion of water from the soil voids under applied load.
- The given data is used to calculate the Coefficient of Volume Compressibility (Cv), Time Factor (Tv), and Consolidation Settlement (Sc) using the relevant equations.
Given data:
Thickness of silty clay layer (H) = 3 m
Effective overburden pressure at center of silty clay layer (σ°) = 2 kg/cm²
Thickness of sample taken for testing (h) = 2.5 cm
Applied stresses (σ₁ and σ₂) = 2 kg/cm² and 4 kg/cm²
Compression of sample (C₁ and C₂) = 0.26 cm and 0.38 cm
To compute the probable consolidation settlement of the raft, we need to follow the below steps:
Step 1: Calculation of Coefficient of Volume Compressibility (Cv)
Cv = (C₂ - C₁) / (σ₂ - σ₁) x h
= (0.38 - 0.26) / (4 - 2) x 2.5
= 0.24 cm²/kg
Step 2: Calculation of Time Factor (Tv)
Tv = (H²) / (t x Cv)
t = time for 50% consolidation = 1 year (given)
Tv = (3 x 3) / (1 x 0.24)
= 37.5
Step 3: Calculation of Consolidation Settlement (Sc)
Sc = (σ° x H x Cv) / (1 + e₀) x (1 + Tv)
e₀ = void ratio of the soil at the start of consolidation = 1.5 (assumed)
Sc = (2 x 3 x 0.24) / (1 + 1.5) x (1 + 37.5)
= 0.0123 m or 1.23 cm
Therefore, the probable consolidation settlement of the raft is 1.23 cm.
Explanation:
- Consolidation settlement occurs in fine-grained soils due to the expulsion of water from the soil voids under applied load.
- Coefficient of Volume Compressibility (Cv) is a measure of the rate at which the soil volume decreases under an increase in effective stress.
- Time factor (Tv) is a measure of the time required for a soil layer to achieve a certain degree of consolidation under a given load.
- Consolidation settlement (Sc) is the amount of settlement that occurs due to the expulsion of water from the soil voids under applied load.
- The given data is used to calculate the Coefficient of Volume Compressibility (Cv), Time Factor (Tv), and Consolidation Settlement (Sc) using the relevant equations.
Community Answer
3 metre thick layer of silty clay is sandwiched between two layers of ...
14.4cm
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3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.?
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3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about 3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.?.
3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about 3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.?.
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3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.?, a detailed solution for 3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.? has been provided alongside types of 3 metre thick layer of silty clay is sandwiched between two layers of dense sand. The effective overburden pressure at the centre of the silty clay layer is 2 kg /CM square. However due to construction of a raft Foundation test was performed on a 2.5 cm thick sample of silty clay. under applied stresses of 2 kg / CM square and 4 kg per CM square the compression of the sample were found to be 0.26 at 0.38 cm respectively. compute the probable consolidation settlement of the raft.? theory, EduRev gives you an
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