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(Solved): Please show all work a. 5. (10 Marks) A critical point Q in a structure is subjected to a complex st ...



Please show all work

a.
5. (10 Marks) A critical point Q in a structure is subjected to a complex state of stress.
The in-plane stress components
a. 5. (10 Marks) A critical point Q in a structure is subjected to a complex state of stress. The in-plane stress components are as follows: 0x = 270 MPa, yy=-120 MPa, and Ty = -90 MPa, with all other stress components being zero. On a diagram identical to that shown below, draw a 2-D element showing these stress components acting on the element. b. Calculate the orientation and the magnitude of the principal stresses that develop at point Q in the x-y plane and show them on the principal element which must be properly loaded and oriented with respect to the x-axis. Calculate the orientation and the magnitude of the maximum in-plane shear stress acting at point Q. Show the maximum shear stress element which must be fully loaded and properly oriented with respect to the x-axis. c. y X


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