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The width of expansion joint gap is 2.5cm, in a cement concrete pavement. If the minimum and maximum temperature of slab are 10oC and 30oC, calculate the spacing between expansion joints. Assume coefficient of thermal expansion of concrete is 10 × 10-6 per oC. Assume that joint filler can be compressed up to 50%.........m
(Important - Enter only the numerical value in the answer)
Correct answer is '62.5'. Can you explain this answer?
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The width of expansion joint gap is2.5cm, in a cement concretepavement...
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The width of expansion joint gap is2.5cm, in a cement concretepavement...
To calculate the spacing between expansion joints, we need to determine the thermal expansion of the concrete.
The formula for thermal expansion is given by:
ΔL = L * α * ΔT
Where:
ΔL is the change in length
L is the original length
α is the coefficient of thermal expansion
ΔT is the change in temperature
In this case, we need to calculate the change in length at the minimum and maximum temperature.
For the minimum temperature:
ΔL_min = L * α * ΔT_min
ΔL_min = L * 10 * (10 - 0)
ΔL_min = 100L
For the maximum temperature:
ΔL_max = L * α * ΔT_max
ΔL_max = L * 10 * (30 - 0)
ΔL_max = 300L
The expansion joint gap is given as 2.5 cm, which means the total change in length is 2.5 cm. Therefore:
ΔL_total = ΔL_min + ΔL_max
2.5 = 100L + 300L
2.5 = 400L
L = 2.5 / 400
L = 0.00625 cm
The spacing between expansion joints is equal to the length of the slab. Therefore, the spacing between expansion joints is 0.00625 cm.
The formula for thermal expansion is given by:
ΔL = L * α * ΔT
Where:
ΔL is the change in length
L is the original length
α is the coefficient of thermal expansion
ΔT is the change in temperature
In this case, we need to calculate the change in length at the minimum and maximum temperature.
For the minimum temperature:
ΔL_min = L * α * ΔT_min
ΔL_min = L * 10 * (10 - 0)
ΔL_min = 100L
For the maximum temperature:
ΔL_max = L * α * ΔT_max
ΔL_max = L * 10 * (30 - 0)
ΔL_max = 300L
The expansion joint gap is given as 2.5 cm, which means the total change in length is 2.5 cm. Therefore:
ΔL_total = ΔL_min + ΔL_max
2.5 = 100L + 300L
2.5 = 400L
L = 2.5 / 400
L = 0.00625 cm
The spacing between expansion joints is equal to the length of the slab. Therefore, the spacing between expansion joints is 0.00625 cm.
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The width of expansion joint gap is2.5cm, in a cement concretepavement. If the minimum andmaximum temperature of slab are10oC and 30oC, calculate thespacing between expansion joints.Assume coefficient of thermalexpansion of concrete is 10 × 10-6per oC. Assume that joint filler canbe compressed up to 50%.........m(Important - Enter only the numerical value in the answer)Correct answer is '62.5'. Can you explain this answer?
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