A very thin rectangular plate (see figure (a)) is subjected to a biaxial plane stress state (σx, σy). The width and height of the plate are b = 7.5 [in] and h = 2.5 [in], respectively. The measures show that the strains in the (x, y) directions are εxx = 2.85x10−4 and εyy = −1.90x10−4
A very thin rectangular plate (see figure (a)) is subjected to a biaxial plane stress state (σx, σy). The width and height of the plate are b = 7.5 [in] and h = 2.5 [in], respectively. The measures show that the strains in the (x, y) directions are εxx = 2.85x10−4 and εyy = −1.90x10−4, respectively. Figure (b) shows a 2D front view of the plate.
a) Draw and identify the principal stresses and the maximum shear stress on Mohr's circle. In what orientation does this maximum shear occur?
b) Calculate the unit volume change e = εxx + εyy + εzz
Note: remember that in a plane stress state we have σz = τxz = τyz = 0 and if it is also bi-axial we have τyx = 0.
Cosider E=70 [Gpa]
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