Crack in a thin plate.xls
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Description
KNOWN: A thin plate is loaded in tension and has a central crack perpendicular to the direction of the applied load.
FIND: Estimate the highest load P that the plate will support when the crack is 1 in. long.
ASSUMPTIONS:
1) Yielding has occurred within some small volume of material at the crack root
2) Crack propagation to total fracture occurs instantaneously when the limiting value of the stress intensity factor K1 equals or exceeds the fracture toughness for the material. 3) The crack is a small fraction of the plate width.
4) The tensile stress based on the net area (minus the area of the crack) is less than the yield strength.
Calculation Reference
Fundamentals Of Machine Component Design - Juvinall
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