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2022 Question 3 = 39.2MPa (see 3.1 An element in plane stress is subjected to stresses σx = -68.5MPa and Txy figure). It
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2022 Question 3 = 39.2MPa (see 3.1 An element in plane stress is subjected to stresses σx = -68.5MPa and Txy figure). It
2022 Question 3 = 39.2MPa (see 3.1 An element in plane stress is subjected to stresses σx = -68.5MPa and Txy figure). It is known that one of the principal stresses equals 26.3 MPa in tension. y 39.2 MPa X 0 68.5 MPa a) Determine the stress ay. (5) b) Determine the other principal stress and the orientation of the 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) x₁ Ao sec 8 EXIVI σ₂A0 T₁₂ (a) Stresses cos²0 = (1 + cos 20), sin²0 = ½ (1 − cos²0), Tax (₁ 0 J₂ Try Ao 5x Ao tan e Ao sec 0 a,Ao tan 8 (b) Forces 1 sin 0 cos 0 = =sin 20 (30)