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) 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 = 20°C), 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 mmDAT<0ΔΙ < 0crackHDetermine 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)v = 0.2 (Poisson's Ratio)a = 12-10-6mm/mm/°C (Coefficient of thermal expansion)(σt)max=3 MPa (tensile strength)

The problem is about a cylindrical concrete container that is subjected to a decrease in…

Answered: A cylindrical container of internal…

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter11: Fracture And Fatigue

Section: Chapter Questions

Problem 6ETSQ

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A cylindrical container of internal diameter and height H =200 mm is filled with concrete as
shown in the figure below. Beginning at room temperature (T = 20oC), the temperature is
decreased until the concrete develops internal tensile stress that may results in crack (as shown in
the figure on the right below). This is due to the thermal shrinkage of the concrete and strong
adhesion between the concrete and the walls of the container. D = 100 mm
Determine 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)