Construction Materials, Methods and Techniques (MindTap Course List)
Construction Materials, Methods and Techniques (MindTap Course List)
4th Edition
ISBN: 9781305086272
Author: William P. Spence, Eva Kultermann
Publisher: Cengage Learning
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Chapter 8, Problem 18RQ
To determine

The difference between lightly reinforced and structurally reinforced slabs

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A cylindrical container of internal diameter and height H =200 mm is filled with concrete asshown in the figure below. Beginning at room temperature (T = 20oC), the temperature isdecreased until the concrete develops internal tensile stress that may results in crack (as shown inthe figure on the right below). This is due to the thermal shrinkage of the concrete and strongadhesion between the concrete and the walls of the container. D = 100 mmDetermine the temperature at which the concrete develops a tensile crack.Hint: Assume that the concrete remains linearly elastic until failure.Information about concrete:E = 30 GPa (Young’s Modulus)ν = 0.2 (Poisson’s Ratio)α = 12 ·10-6mm/mm/ oC (Coefficient of thermal expansion)(σt)max = 3 MPa (tensile strength)
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