638_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

638_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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

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

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.

{[ 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
Ask a homework question - tutors are online