1. For the concrete beam shown, calculate the maximum tensile force (P) that can be applied to the beam before failure. The fracture toughness of concrete is 0.23 MPa(m)0.5, its elastic modulus is 25000 MPa, and the maximum flaw size (middle flaw) is estimated as 4mm inside concrete. Assume fgeom = 1, SF=1, and yield/tensile strength to be 3MPA. %3D

1. For the concrete beam shown, calculate the maximum tensile force (P) that can be applied to the beam before failure. The fracture toughness of concrete is 0.23 MPa(m)0.5, its elastic modulus is 25000 MPa, and the maximum flaw size (middle flaw) is estimated as 4mm inside concrete. Assume fgeom = 1, SF=1, and yield/tensile strength to be 3MPA. %3D

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter20: Design Of Rigid Pavements

Section: Chapter Questions

Problem 12P

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Properties of materials

A property of a material describes its characteristics and distinguishes it from the others. The material properties are described it in terms of its hardness, color, appearances, and so on. The material properties generally depend on the type of material, or whether it is a metal or an alloy. There are different kinds of material properties such as mechanical properties, thermal properties, physical properties, and chemical properties. Chemical properties describe the material in terms of a chemical change. The mechanical properties come into existence when the material is acted upon by an external load. Thermal properties are associated with the temperature of the material and specific heat.

Question

1. For the concrete beam shown, calculate the maximum
tensile force (P) that can be applied to the beam before
failure. The fracture toughness of concrete is 0.23
MPa(m)0.5, its elastic modulus is 25000 MPa, and the
maximum flaw size (middle flaw) is estimated as 4mm
inside concrete. Assume fgeom = 1, SF=1, and yield/tensile
strength to be 3MPa.
2. A material possesses a fracture toughness of 48 MPa?m?.
Determine the critical size (length) of the crack if is
subjected to a critical far field stress of 1460 MPa. Assume
infinite geometry and include a drawing.
5cm
15cm
50cm

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