The more generalized equations for stress components around a circular hole are given here for an...

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The more generalized equations for stress components around a circular hole are given here for an infinite plate with normal stresses and shear stress: XX Ore Orr a - yy Oxy 0XX XX Orr ee Oxx Oyy 2 = x + Oxx Oyy = x + 2 a 2 - (1-(-)) + (1-4(+)+3(+)) ((*) Cos20 + Sinze) ()) 2 xy (1 + (-)) - (1 + 3 (-)) ((-) Cos28 + oxy Sinze) 2 2 Org = (1+2 (-) -3(-)) ((-dyy) sin20 +., Cas20) D) For e = 2 0,22.5, 45, 67.5 and 90 plot the curves of rr, Tee and re E) If the plate is made of steel, find the principal stresses and principal axis for these locations: - (r=1.8a, 0 = 10) - (r=2.5a, 0 = 70) (Note: E=200 10Pa, v = 0.25) Pay attention: Constitutive equations are defined for a point, consequently these equation in polar coordinate system and cartesian coordinate system are identical, so: Err = Orr E E Yre = Orr The more generalized equations for stress components around a circular hole are given here for an infinite plate with normal stresses and shear stress: XX Ore Orr a - yy Oxy 0XX XX Orr ee Oxx Oyy 2 = x + Oxx Oyy = x + 2 a 2 - (1-(-)) + (1-4(+)+3(+)) ((*) Cos20 + Sinze) ()) 2 xy (1 + (-)) - (1 + 3 (-)) ((-) Cos28 + oxy Sinze) 2 2 Org = (1+2 (-) -3(-)) ((-dyy) sin20 +., Cas20) D) For e = 2 0,22.5, 45, 67.5 and 90 plot the curves of rr, Tee and re E) If the plate is made of steel, find the principal stresses and principal axis for these locations: - (r=1.8a, 0 = 10) - (r=2.5a, 0 = 70) (Note: E=200 10Pa, v = 0.25) Pay attention: Constitutive equations are defined for a point, consequently these equation in polar coordinate system and cartesian coordinate system are identical, so: Err = Orr E E Yre = Orr