Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Chapter 9, Problem 7P
To determine
Draw the influence lines for the shear and bending moment at point D.
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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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Structural Analysis, SI Edition
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