Solution Callister 7-...Ciência dos Materiais - callister7e sm ch03 35a, Manuais, Projetos, Pesquisas de Física

Baixe Solution Callister 7-...Ciência dos Materiais - callister7e sm ch03 35a e outras Manuais, Projetos, Pesquisas em PDF para Física, somente na Docsity! 3-40 Now, in order to get the lowest set of integers, it is necessary to multiply all indices by the factor 3, with the result that the direction B is a [2 110] direction. For direction C projections on the a1, a2, and z axes are a, a/2, and 0c, or, in terms of a and c the projections are 1, 1/2, and 0, which when multiplied by the factor 2 become the smallest set of integers: 2, 1, and 0. This means that u’ = 2 v’ = 1 w’ = 0 Now, from Equations 3.6, the u, v, t, and w indices become u = 1 3 (2uÕ− v) = 1 3 (2)(2) −1[ ] = 3 3 = 1 v = 1 3 (2vÕ− uÕ) = 1 3 (2)(1) − 2[ ] = 0 t = − (u+ v) = − 1 − 0( ) = −1 w = w' = 0 No reduction is necessary inasmuch as all the indices are integers. Therefore, direction C is a [101 0] . For direction D projections on the a1, a2, and z axes are a, 0a, and c/2, or, in terms of a and c the projections are 1, 0, and 1/2, which when multiplied by the factor 2 become the smallest set of integers: 2, 0, and 1. This means that u’ = 2 v’ = 0 w’ = 1 Now, from Equations 3.6, the u, v, t, and w indices become u = 1 3 (2u' − v' ) = 1 3 (2)(2) − 0[ ] = 4 3 v = 1 3 (2vÕ− uÕ) = 1 3 (2)(0) − (2)[ ] =− 2 3 Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful.