2022 Question 3 3.1 An element in plane stress is subjected to stresses ₂ = -68.5MPa and Txy = 39.2MPa (see figure). It

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2022 Question 3 3 1 An Element In Plane Stress Is Subjected To Stresses 68 5mpa And Txy 39 2mpa See Figure It 1 (38.3 KiB) Viewed 23 times

2022 Question 3 3.1 An element in plane stress is subjected to stresses ₂ = -68.5MPa and Txy = 39.2MPa (see figure). It is known that one of the principal stresses equals 26.3 MPa in tension. 39.2 MPa 68.5 MPa a) Determine the stress σy. (5) b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly orientated element. (15) 3.2 Given a wedge-shaped stress element in the figures below and trigonometric identities, use equations of equilibrium to derive the transformation equations for plane stress. (10) A sec @ Agsec 6 da σ,A A 5 Aan T (a) Stresses (b) Forces cos²0 = (1 + cos 20), sin²0 =(1-cos²0), sine cos 0 = sin 20 to, Atan (30)