Casting and rolling problems / Manufacturing. Problem 1. It is desired to make a riser design involving the following co

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Casting and rolling problems / Manufacturing. Problem 1. It is desired to make a riser design involving the following configurations: Sphere, a cube and a cylinder whose height is equal to its radius. 1. Explain the function of the riser. 2. Expose the feasibility in terms of functionality (solidification time), construction and adaptation to the mold of each case, and then select the one you consider better.
Problem 2. Ga-Sn alloy is poured into a sand mold. The level of the metal in the pouring container (pouring cup) is 10 inches above the level of the metal in the mold, and the channel is circular with a diameter of 0.4 inches. • What is the velocity and flow rate of the metal into the mold? • Is the flow turbulent or laminar? • How long would it take the sprue to feed a casting with a square cross section of 6 inches per side and a height of 4 inches (this means that the volume of the casting is 144 in3, with a constant cross-sectional area of 36 in?)? Assume that the sprue is frictionless. • Explain what would be the difference during solidification between this alloy and pure gallium with the help of a small diagram. Assume that the Ga-Sn alloy has a density of 5.887 g cm-3* and a viscosity of 0.682 Pa-s*.
Problems 3. Weight is added to two halves of a mold (top and bottom layer) to prevent them from separating due to the pressure exerted by the molten metal (buoyancy). Consider a solid cylindrical steel casting, 5 inches in diameter and 10 inches high, produced by sand casting Each part of the mold is 20 inches by 20 inches and 15 inches deep. The parting line is in the middle of the piece. Estimate the clamping force required. Assume that the molten metal has a density of 500 lb/1tº and that sand has a density of 100 1b/ft3 Assume a density for the molten metal of 500 lb/ft3. 20 in 20 in
Problem 4. After heat treatment, an aluminum alloy is subjected to a rolling process. Calculate the force and power of the roller for a bar 200 mm wide and 12 mm thick, is reduced to a thickness of 10 mm. The radius of the roller is 200 mm and the roller rotates at 150 rpm. Assume y = 0.1. Steel data K=400 MPa and n = 0.1