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The Westergaard method of crack analysis is closely related to the complex variable method of Kolosov- Muskhelishvili we discussed in class. In this approach, crack problems can be solved using only one complex potential function Z(z), where 0x = Re Z-y Im Z σ = Re Z+yImZ 32 o = -y Re Z The potential function for equal and opposite point loads on a crack is: P √a²-b² π (z-b)√√z²-a² Z(z)= Derive the stress intensity factor at the left and right crack tips for this configuration. a y Log VP a

The Westergaard method of crack analysis is closely related to the complex variable method of Kolosov- Muskhelishvili we discussed in class. In this approach, crack problems can be solved using only one complex potential function Z(z), where 0x = Re Z-y Im Z σ = Re Z+yImZ 32 o = -y Re Z The potential function for equal and opposite point loads on a crack is: P √a²-b² π (z-b)√√z²-a² Z(z)= Derive the stress intensity factor at the left and right crack tips for this configuration. a y Log VP a

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The Westergaard method of crack analysis is closely related to the complex variable method of Kolosov- Muskhelishvili we discussed in class. In this approach, crack problems can be solved using only one complex potential function Z(z), where = Re Z-y Im Z % = ReZ+yIm Z 33 o = -y Re Z XV The potential function for equal and opposite point loads on a crack is: P √a²-b² π (z-b)√√₂²-a² Z(z): Derive the stress intensity factor at the left and right crack tips for this configuration. a жа y Log P a
Transcribed Image Text:The Westergaard method of crack analysis is closely related to the complex variable method of Kolosov- Muskhelishvili we discussed in class. In this approach, crack problems can be solved using only one complex potential function Z(z), where = Re Z-y Im Z % = ReZ+yIm Z 33 o = -y Re Z XV The potential function for equal and opposite point loads on a crack is: P √a²-b² π (z-b)√√₂²-a² Z(z): Derive the stress intensity factor at the left and right crack tips for this configuration. a жа y Log P a
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