Concept explainers
Shrinkage in Concrete Beams As concrete dries, it shrinks—the higher the water content, the greater the shrinkage. If a concrete beam has a water content of w kg/m3, then it will shrink by a factor
where S is the fraction of the original beam length that disappears due to shrinkage.
- (a) A beam 12.025 m long is cast in concrete that contains 250 kg/m3 water. What is the shrinkage factor S? How long will the beam be when it has dried?
- (b) A beam is 10.014 m long when wet. We want it to shrink to 10.009 m, so the shrinkage factor should be S = 0.00050. What water content will provide this amount of shrinkage?
(a)
To evaluate: The shrinkage factor and length of beam when it is dried.
Answer to Problem 113E
The shrinkage factor is
Explanation of Solution
Given:
If a concrete beam has a water content of
That is,
Calculation:
Given that the water content in the concrete is
Substitute
Thus, the shrinkage factor in concrete beam is
Note that, the length of the beam is 12.025 m.
Substitute
Therefore, the length that disappears due to shrinkage is
Substitute
Length of beam when it has dried is
Thus, length of beam when it has dried is
(b)
The water content in concrete beam.
Answer to Problem 113E
The water content in concrete beam is
Explanation of Solution
The shrinkage factor is obtained as
Substitute
Simplify the above equation as follows.
Thus, the water content in concrete beam is
Chapter 1 Solutions
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