# ha4 - 0.30 Using the stress function approach 16.20 Home...

This preview shows pages 1–4. Sign up to view the full content.

16.20 Handed Out: Lecture 16 Due: Lecture 20 HOME ASSIGNMENT #4 Warm-Up Exercises Let’s consider the stress field around the hole in an isotropic 2a σ o y 1 y 2 r θ plate loaded in uniaxial compression (no buckling occurs): 1. Derive expressions for the stress components at the hole boundary (r = a) as a function of θ in the y 1 - y 2 - y 3 coordinate system. 2. Plot these values, normalized by the applied far-field stress, σ o , as a function of θ . 3. Plot the “polar coordinate” stresses at the hole boundary as a function of θ . 4. Compare the plots of #2 and #3. Discuss any similarities/differences/noteworthy points. Practice Problems 5. A pressurized aluminum vessel results in a state of plane stress in the skin of 100 MPa in one direction and 250 MPa perpendicular to this direction. Aluminum has a modulus of approximately 70 GPa and a Poissons’s ratio of

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 0.30. Using the stress function approach: 16.20 Home Assignment #4 Page 2 Fall, 2002 (a) Construct a solution for this configuration. (b) Determine the full strain state. (c) Determine the entire deformation field. Application Tasks 6. Use appropriate combinations of the Airy stress functions provided to: (a) Construct a solution for the case of an isotropic cantilevered beam loaded by an end load as pictured. (b) Compare these results (for σ xx and σ xz ) with those from simple beam theory. (c) Where in this problem is it necessary to apply St. Venant’s principle? P l h x 100 MPa 250 MPa z 16.20 Home Assignment #4 Page 3 Fall, 2002 C 30 x 3 C 03 y 3 16.20 Home Assignment #4 Page 4 Fall, 2002 C 31 x 3 y...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

ha4 - 0.30 Using the stress function approach 16.20 Home...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online