Question

Documenti - Seved to this C A TE-E A Tere Sang Heading AaB cab. AD AED Acer S treet Problem 1 Strains are measured on the surface of a brass alloy part as follows: Exx = 1600 x 10 , Exy = 1300 x 10, and xy = 1500 x 106 Estimate the in-plane stresses Oxx, O., and Ty, and also the strain : normal to the surface. (Assume that the gages were bonded to the metal when there was no load on the part, that there is no yielding, and that no loading is applied directly to the surface, i.e., 02-7==Tr-0).

Answer 1

Given Also, Enn = 1600x100 Eyy = 1300x106 Slay = 1500 x 100 1 - M -ul ooo I-llo oo -l looo o o Amo o o o Holo We know that. I- M lo o o o o lhe Ishy ={2z = Fuenoa - M 64y + (1) day & 1 ben = ( Ean + M Exy byy = 2 (Eur + Menn) eny = Gday - Assume for Boass. ban? € = 97Gla Ma 0.31 G = 37Gla 0.314192.73 0.3lt Ezz = 0.31 x 214.947 -0.31 X 192.13 * 97X103 +1.31 x 55.5 bana 978109 1-0.312 1600X10 +0.31 x 1300X106) Ezz-553.349 X10 Fonna 214.947 MPa Gay - (1300x1760.sy person 5y = 192.73 mpa Any 2 GX8ny 237x183 x 1500xior Kay = 55.5 MPa).