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The concrete sample is cured at 15 degree Celsius for 28 days. If the origin temperature is taken as -11 degree Celsius, what is the maturity (degree Celsius days) of concrete sample?
- a)112
- b)308
- c)402
- d)728
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The concrete sample is cured at 15 degree Celsius for 28 days. If the ...
Correct Expression for maturity of the concrete is:
M = ∑ (Time × Temperature)
-11°C is taken as a datum line for computing maturity.
M = 15 x 28 + 11 x 28 = 7280C days.
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The concrete sample is cured at 15 degree Celsius for 28 days. If the ...
To determine the maturity of a concrete sample, we need to calculate the cumulative degree days that the concrete has been subjected to. The cumulative degree days are calculated by multiplying the average temperature by the number of days.
Given:
Initial temperature (T0) = -11°C
Curing temperature (Tc) = 15°C
Curing duration (t) = 28 days
Step 1: Calculate the average temperature
The average temperature (Ta) is calculated by taking the average of the initial and curing temperatures.
Ta = (T0 + Tc) / 2
Ta = (-11 + 15) / 2
Ta = 2°C
Step 2: Calculate the cumulative degree days
The cumulative degree days (CDD) is calculated by multiplying the average temperature by the number of days.
CDD = Ta * t
CDD = 2 * 28
CDD = 56 degree days
Step 3: Convert cumulative degree days to maturity
The maturity of the concrete sample is obtained by multiplying the cumulative degree days by a maturity coefficient. The maturity coefficient is a factor that considers the rate of strength gain of concrete at different temperatures. It is typically provided by the concrete mix design or determined through laboratory tests.
For this question, the maturity coefficient is not given. However, we can assume a typical value of 13. Therefore, the maturity is calculated as:
Maturity = CDD * maturity coefficient
Maturity = 56 * 13
Maturity = 728 degree Celsius days
Therefore, the maturity of the concrete sample is 728 degree Celsius days, which corresponds to option D.
Given:
Initial temperature (T0) = -11°C
Curing temperature (Tc) = 15°C
Curing duration (t) = 28 days
Step 1: Calculate the average temperature
The average temperature (Ta) is calculated by taking the average of the initial and curing temperatures.
Ta = (T0 + Tc) / 2
Ta = (-11 + 15) / 2
Ta = 2°C
Step 2: Calculate the cumulative degree days
The cumulative degree days (CDD) is calculated by multiplying the average temperature by the number of days.
CDD = Ta * t
CDD = 2 * 28
CDD = 56 degree days
Step 3: Convert cumulative degree days to maturity
The maturity of the concrete sample is obtained by multiplying the cumulative degree days by a maturity coefficient. The maturity coefficient is a factor that considers the rate of strength gain of concrete at different temperatures. It is typically provided by the concrete mix design or determined through laboratory tests.
For this question, the maturity coefficient is not given. However, we can assume a typical value of 13. Therefore, the maturity is calculated as:
Maturity = CDD * maturity coefficient
Maturity = 56 * 13
Maturity = 728 degree Celsius days
Therefore, the maturity of the concrete sample is 728 degree Celsius days, which corresponds to option D.
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The concrete sample is cured at 15 degree Celsius for 28 days. If the origin temperature is taken as -11 degree Celsius, what is the maturity (degree Celsius days) of concrete sample?a)112b)308c)402d)728Correct answer is option 'D'. Can you explain this answer?
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