- Task A Stress Invariants 135 The Stress State In A Steel Structure E 210gpa V 0 3 Is Given As Components Gotay Is 1 (32.84 KiB) Viewed 48 times
- Task A Stress Invariants 135 The Stress State In A Steel Structure E 210gpa V 0 3 Is Given As Components Gotay Is 2 (15.68 KiB) Viewed 48 times
Task A Stress Invariants (135) The stress state in a steel structure (E-210GPa, v-0.3) is given as components (Gotay, ist) in standard units (Pascals: Pa) in the table on Pages 3-7. Write a Matlab script w-tile to calculate the following: A1. the three invariants Is. 1; and I 15.51 1,-0,0,0,+20.11.-0,7-or-or. A 2. the hydrostatic stress, 13.51 A3. the second deviatoric invariant, Jy, and thus the von Mises equivalent stress, c: | 14.51 | 75.51 A4. by finding the three roots of the cubic polynomial: 2- 2,1,-1,-0 the principal stresses 0, 0, and a 0, 0,- A5. the maximum shear stress, 14.51 -max,-0.0-0.0,-ol) A6. find the three eigenvalues (.e., the three principal stresses again) and their corresponding eigenvectors . Vand : I 17.5 0 A7, the strain energy density, U/SV: U {1}-2(1+, sv - zel2017 } 2E
ox (Pa) -176 oy (Pa) -233 oz(Pa) -218 txy(Pa) -53 tyz(Pa) -81 tzx(Pa) -109