Q3) (20 points) The wedge and semi-infinite domain are shown in Figure 1. The two boundaries...

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Q3) (20 points) The wedge and semi-infinite domain are shown in Figure 1. The two boundaries are defined by the lines = and = . The Airy stress function is chosen as: = r (a+a+a cos 20+ b sin 20) where a,a,a,b21 are constants. (a) Determine the stresses ,000 and (12 points) (b) A specific case of a quarter plane in which (=0 and B=/2) with a uniform shear stress S along one boundary (y-axis) and no loading on the other boundary is shown in Figure 2. Write the boundary conditions for this quarter plane in and compute the constants a,a,a,b21 (18 points). S Figure 1 Figure 2 x Q3) (20 points) The wedge and semi-infinite domain are shown in Figure 1. The two boundaries are defined by the lines = and = . The Airy stress function is chosen as: = r (a+a+a cos 20+ b sin 20) where a,a,a,b21 are constants. (a) Determine the stresses ,000 and (12 points) (b) A specific case of a quarter plane in which (=0 and B=/2) with a uniform shear stress S along one boundary (y-axis) and no loading on the other boundary is shown in Figure 2. Write the boundary conditions for this quarter plane in and compute the constants a,a,a,b21 (18 points). S Figure 1 Figure 2 x