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# Chapter7 - AE 321 Practice Problems Chapter 7 Failure and...

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AE 321 – Practice Problems Chapter 7: Failure and Fatigue 1. (Exam question) A linear, elastic, isotropic and homogeneous solid circular cylinder of length L and radius R (no restriction on L and R ), Young’s modulus E , Poisson’s ratio ν and uniaxial yield strength σ y , is subjected to an applied pressure P on its lateral surface. The end faces are traction free (a) Find the stress and strain state in the bar. Hint: In-plane, i.e. looking down the cylinder axis, the loading appears hydrostatic. (b) What is the maximum value of pressure before yield occurs if the material subscribes to a Von Mises yield condition? (c) What would the Von Mises criterion predict if the pressure P were applied on the end faces as well as the lateral surface? x 3 P P

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2. (Exam question) Bending moments M y and M z are applied to the rectangular bar shown below. The bar is made up of a brittle linear elastic isotropic and homogeneous material with elastic properties E , ν and failure strength σ f .. (a) At what value of
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Chapter7 - AE 321 Practice Problems Chapter 7 Failure and...

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