The displacement thickness (8*) for the velocity distribution in boundary Layer is by (u/U) = (y/8), where u = velocity at distance y from the plate and u = U at y = 8. If 8 is boundary Layer thickness, then 8* is
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- A thin spherical shell 1 m in diameter with its wall of 1.2 cm thickness is filled with a fluid at the atmospheric pressure. What intensity of pressure will be developed in it if 175 cm3 more fluid is pumped into it? Also calculate the circumferential stress at that pressure and the increase in diameter. Take: E = 200 GN/m2, and Poisson’s Ratio = 0.3In the system given in three dimensions in the figure, L=6 m and all the bars have circular cross-sections. As can be seen, the carrier system is exposed to a force of P=250 kN in the –z direction from the D point. Since the safety stress of the material is 100000 kN/m², what is the smallest radius of the section according to the Tresca assumption?A cube 2.28 feet on an edge has its lower half of s.g. = 1.6 and upper half of s.g. = 0.7. It rests in a two layer fluid, with lower s.g. = 1.4 and upper s.g. = 0.8. Determine the height in feet of the top of the cube above the interface.
- In the figure, forces with resultant intensity Fx = 3P (unit N), Fy = 2P (unit N) and Fz = P (unit N) act on the side faces of the cube whose dimension a = 20 mm. The limit stress for the uniaxial stress case in the material is 40 / Mpa safety coefficient n = 2. How many Newtons (N) is the largest P value according to the Von Mises assumption for the cube to be safe? please please fast help meA 3 m square plate is immersed vertically in water such that the two edges of the square are horizontal. The center of pressure is located 8 cm from the centroid of the square plate. Calculate the distance in m of the center of pressure from the water surface.Please show complete solutions. Considering EI is constant and the value of P is 425kN, calculate the following using Conjugate beam method : A. What is the value of the reaction at point B in the real beam? B. What is the value of the reaction at Point A in the conjugate beam? C. DISPLACEMENT AT C. D. DETERMINE SA SLOPE AT B.
- Fluid Mechanics: Laminar flow occurs between two horzontal parallel plates under a pressure gradient dp/ds (p decreases in the positive s direction). The upper plate moves left (negative) at velocity ut. The expression of local velocity u is given in the attached equation. Is the magnitude of the shear stress greater at the moving plate (y=H), or the stationary plate (y=0)? Derive an expression for the y position of zero shear stress. Derive and expression for the plate speed ut required to make the shear stress zero at y=0.A triangular plate made of homogeneous material has a constant thickness that is very small. If it is folded over as shown, determine the location z̅ of the plate’s center of gravity G.The perpendicular dimension of the cylindrical surface abcde in the figure to the plane of the figure is 6 m, and the radius of the circular surfaces is R=2.5 m. According to this; Determine the resultant pressure force acting on the abcde surface and its angle with the horizontal.
- For an aircraft carrier, its towbar is positioned by means of a pneumatic or hydraulic cylinder connected by a 25-mm-diameter steel rod to two identical arm-and-wheel units at link DEF. Assuming that the mass of the whole system, which is the tow bar is 200 kg, and its center of gravitational acceleration is located at point G. For the initial position shown at the figure, determine the average normal stress in the cylinder rod CD.In a two dimensional stress analysis, the state of stress at a point is shown below. If σ = 120 MPa and τ = 70 MPa, Then find σ(x) and σ(y)A triangle of height h and base b is vertically submerged in a liquid. The base b coincides with the liquid surface. Derive the relation that will give the location of the center of pressure.