Problem 1.13 A large steel plate under uniform applied tensile stress contains three cracks, which are remote from the edges of the plate and from each other. One is 12 mm in length and is inclined at an angle a =30°, the other is 15 mm in length and lies perpendicular, the third is 10 mm in length and is inclined at an angle ẞ -45° (figure 1.17). The steel has fracture toughness of Ke 23 MPa√m and Kile = 15 MPa√m. a) Calculate the fracture stress of the plate and state which of the three cracks will cause failure and in which failure mode. (1) (2) (3) a a β b σ σ Figure 1.17: Finite width thin plate under uniform applied biaxial tensile stress with three cracks

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem 1.13 A large steel plate under uniform applied tensile stress contains three cracks, which
are remote from the edges of the plate and from each other. One is 12 mm in length and is
inclined at an angle a =30°, the other is 15 mm in length and lies perpendicular, the third is 10
mm in length and is inclined at an angle ẞ -45° (figure 1.17). The steel has fracture toughness of
Ke 23 MPa√m and Kile = 15 MPa√m.
a) Calculate the fracture stress of the plate and state which of the three cracks will cause failure
and in which failure mode.
(1)
(2)
(3)
a
a
β
b
σ
σ
Figure 1.17: Finite width thin plate under uniform applied biaxial tensile stress with three cracks
Transcribed Image Text:Problem 1.13 A large steel plate under uniform applied tensile stress contains three cracks, which are remote from the edges of the plate and from each other. One is 12 mm in length and is inclined at an angle a =30°, the other is 15 mm in length and lies perpendicular, the third is 10 mm in length and is inclined at an angle ẞ -45° (figure 1.17). The steel has fracture toughness of Ke 23 MPa√m and Kile = 15 MPa√m. a) Calculate the fracture stress of the plate and state which of the three cracks will cause failure and in which failure mode. (1) (2) (3) a a β b σ σ Figure 1.17: Finite width thin plate under uniform applied biaxial tensile stress with three cracks
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