_______________________________________________________________________ PROBLEM (8.11) A triangular plate is subjected to stresses as shown in Fig. P8.11. Determine σ x , σy , and τ xy and sketch the results on a properly oriented element. SOLUTION 50 MPa y 200 MPa y’ x’ 45o x τ x' y' = 0 = − or σ x −σ y 2 sin 90o + τ xy cos 90o σx =σy σ x ' = −200 = σ x + 0 + τ xy sin 90 o (1) σ y ' = −50 = σ x − 0 − τ xy sin 90o (2) Subtract (1) from (2): τ xy = −75 MPa Add (1) and (2): σ x = σ y = −125 MPa 125 MPa 125 MPa 75 MPa 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.