638_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

638_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
632 CHAPTER 7 Analysis of Stress and Strain Problem 7.7-13 An element in plane stress is subjected to stresses s x ±² 8400 psi, s y ± 1100 psi, and t xy ± ² 1700 psi (see figure). The material is aluminum with modulus of elasticity E ± 10,000 ksi and Poisson’s ratio . Determine the following quantities: (a) the strains for an element oriented at an angle , (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements. Probs. 7.7-13 and 7.7-14 u ± 30° ³± 0.33 y x O t xy s y s x Solution 7.7-13 Element in plane strain H OOKE SLAW (E QS . 7-34 AND 7-35) F OR â y 1 ± â x + â y ² â x 1 ± 267 * 10 ² 6 g x 1 y 1 ± 868 * 10 ² 6 ± 434 * 10 ² 6 g x 1 y 1 2 â x ² â y 2 sin 2 u + g xy 2 cos 2 u 756 * 10 ² 6 â x 1 ± â x + â y 2 + â x ² â y 2 cos 2 u + g xy 2 sin 2 u u ± 30°: g xy ± t xy G ± 2 t xy (1 + ³ ) E 452.2 * 10 ² 6 â y ± 1 E ( s y ²³
Background image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 43

638_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online