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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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
Transcribed Image Text: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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