Fluid flows past the two dimensional bar shown in figure. The pressures on the ends of the bar are as shown, and the average shear stress on the top and bottom of the bar is tavg. Assume that the drag due to pressure is equal to the drag due to viscous effects, the ratio between the average shear stress and the dynamic pressure is 1. TavE p= -0.2 U h Width =b TAVE avE -10h-

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The curved bar shown in the figure has a rectangular cross section of 50x75 mm and an internal radius of 125 mm. For a force F = 1200 N, determine: a-) the normal stress at point A. b-) the normal stress in point B.

A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.375 in. is subjected to internal pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure). (Assume that the structures behave linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) Determine the maximum tensile stress omay and the maximum in-plane shear stress Tmay in the wall of the cylinder. (Enter the magnitudes in ksi.) o, = ksi Tmax ksi (b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T? (Enter the magnitude in kip-ft.) kip-ft (c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively, what is the minimum required wall thickness (in inches)? in.