1. a. Two relatively large plates, one of granite and one of slate, are subjected to a tensile stress of 40 MPa. If the specific surface energies for granite and slate are 0.3 J.m² and 0.7 J.m2, respectively; while modulus of elasticity values are 69 GPa and 92 GPa, respectively for granite and slate. Determine the maximum length of a surface crack that is possible without fracture.

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For through thickness elliptical crack in an infinite plate, the tensile stress distribution ahead of the crack tip is accurately described by the equation o = when onom X = 1.02 a.in terms of stress intensity factor, the crack tip can be approximated as K 6= , what is the difference between stress distribution of these two equations at √6.4r a distance r=0.02 a ahead of the crack tip ?

For a block with Young's Modulus of its material being 210 GPa and its Poisson's Ratio being 0.25, when subjected to a stress system as shown in the figure, what is the magnitude of the stress for no strain along AB? 60 N/mm A B 60 N/mm

A plate was subjected to a tensile force P=100 KN as shown on the figure. If the allowablestress is 250 MPa, Calculate the following: (a) Minimum required thickness of the plate. (Hint: HOLE vs FILLET) (b) Maximum allowable stress based on minimum thickness of the plate, Let K= 1.20 (c) Percent decrease on stress concentration

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