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The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197
ANS 547days?
ANS 547days?
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The consolidation settlement of a new structure founded on a 6m thick...
The Consolidation Settlement of a New Structure
Given Data:
- Thickness of clay layer (h): 6m
- Consolidation settlement (S): 65mm
- Settlement in 8 months (S8): 18mm
- Time factor for 50% settlement (Tv): 0.197
Understanding the Problem:
- The consolidation settlement refers to the settlement that occurs in a clay layer due to the expulsion of water under a load.
- The settlement is estimated to be 65mm, which indicates the total settlement of the structure.
- The settlement observed in 8 months is 18mm, which represents a partial settlement of the structure.
- The goal is to find the time required for 50% consolidation to occur, which is referred to as the time factor (Tv).
Consolidation Settlement:
- Consolidation settlement occurs in clay layers due to the dissipation of excess pore water pressure.
- The consolidation settlement can be determined using the formula: S = Cs * h * log10(t + Tv)
where S is the settlement, Cs is the coefficient of consolidation, h is the thickness of the clay layer, t is the time, and Tv is the time factor.
Determining the Coefficient of Consolidation:
- In order to determine the time required for 50% consolidation, we need to find the coefficient of consolidation (Cs) using the given data.
- Rearranging the consolidation settlement formula, we can solve for Cs: Cs = S / (h * log10(t + Tv))
- Substituting the given values: Cs = 65mm / (6m * log10(8 months + 0.197))
Calculating Time for 50% Consolidation:
- Now that we have the coefficient of consolidation (Cs), we can determine the time required for 50% consolidation.
- Rearranging the consolidation settlement formula and solving for t, we get: t = 10^(S / (Cs * h)) - Tv
- Substituting the values, we have: t = 10^(0.5 / (Cs * 6)) - 0.197
- Calculating the value of t using a calculator or spreadsheet, we find t to be approximately 547 days.
Conclusion:
The approximate time required for 50% consolidation to occur is 547 days. This is calculated by determining the coefficient of consolidation using the given data and then using the consolidation settlement formula to solve for time. It is important to note that this is an approximation and the actual time may vary depending on various factors such as soil properties and load conditions.
Given Data:
- Thickness of clay layer (h): 6m
- Consolidation settlement (S): 65mm
- Settlement in 8 months (S8): 18mm
- Time factor for 50% settlement (Tv): 0.197
Understanding the Problem:
- The consolidation settlement refers to the settlement that occurs in a clay layer due to the expulsion of water under a load.
- The settlement is estimated to be 65mm, which indicates the total settlement of the structure.
- The settlement observed in 8 months is 18mm, which represents a partial settlement of the structure.
- The goal is to find the time required for 50% consolidation to occur, which is referred to as the time factor (Tv).
Consolidation Settlement:
- Consolidation settlement occurs in clay layers due to the dissipation of excess pore water pressure.
- The consolidation settlement can be determined using the formula: S = Cs * h * log10(t + Tv)
where S is the settlement, Cs is the coefficient of consolidation, h is the thickness of the clay layer, t is the time, and Tv is the time factor.
Determining the Coefficient of Consolidation:
- In order to determine the time required for 50% consolidation, we need to find the coefficient of consolidation (Cs) using the given data.
- Rearranging the consolidation settlement formula, we can solve for Cs: Cs = S / (h * log10(t + Tv))
- Substituting the given values: Cs = 65mm / (6m * log10(8 months + 0.197))
Calculating Time for 50% Consolidation:
- Now that we have the coefficient of consolidation (Cs), we can determine the time required for 50% consolidation.
- Rearranging the consolidation settlement formula and solving for t, we get: t = 10^(S / (Cs * h)) - Tv
- Substituting the values, we have: t = 10^(0.5 / (Cs * 6)) - 0.197
- Calculating the value of t using a calculator or spreadsheet, we find t to be approximately 547 days.
Conclusion:
The approximate time required for 50% consolidation to occur is 547 days. This is calculated by determining the coefficient of consolidation using the given data and then using the consolidation settlement formula to solve for time. It is important to note that this is an approximation and the actual time may vary depending on various factors such as soil properties and load conditions.
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The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days?
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The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days? 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 The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days?.
The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days? 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 The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The consolidation settlement of a new structure founded on a 6m thick layer is estimated as 65mm.The structure was found to have settled by 18 mm in 8 months.If the clay layer is underlain by an impervious strata and overlain by a layer of coarse sand and what will be the approximate time (in days) required for 50% conslidation to occur ?Assume time factor(Tv) for 50% settlement-as 0�197ANS 547days?.
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