Problem 4: The state of stress at a particular point in a structure is given below. 10 20 0 ¹-[20 = 20 -10√2 MPa 0 -10√2 10/27/1 [o] (a) Write the characteristic equation (cubic equation) that would be used to determine the principal stresses. (b) Without solving the characteristic equation, verify that one of the principal stresses is Op = 30 MPa. Find its corresponding principal direction (i.e., find its direction cosines). (c) Determine the other principal stresses and their corresponding principal directions. (d) Determine the maximum shear stress.
Problem 4: The state of stress at a particular point in a structure is given below. 10 20 0 ¹-[20 = 20 -10√2 MPa 0 -10√2 10/27/1 [o] (a) Write the characteristic equation (cubic equation) that would be used to determine the principal stresses. (b) Without solving the characteristic equation, verify that one of the principal stresses is Op = 30 MPa. Find its corresponding principal direction (i.e., find its direction cosines). (c) Determine the other principal stresses and their corresponding principal directions. (d) Determine the maximum shear stress.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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