Professional Calculation for Diameter of Riser in Sand Casting Mold
To calculate the diameter of the riser in a sand casting mold in order to extend the solidification time by 20%, we need to follow a specific formula and set of equations.
Calculation Process:
Given that the rectangular plate casting has dimensions of 200mm x 100mm x 20mm with a solidification time of 3.5 minutes, we need to determine the diameter of the riser.
Step 1:Calculate the volume of the rectangular plate casting using the formula V = length x width x height.
Step 2:Determine the surface area of the rectangular plate casting using the formula A = 2(lw + wh + lh).
Step 3:Calculate the ratio of volume to surface area as V/A = 7.69.
Step 4:Utilize the solidification time formula t = K(V/A)^2 to find the diameter of the riser.
Step 5:Adjust the solidification time for the riser to be 20% longer (4.2 minutes) and set up the necessary equations involving the ratio of solidification times.
Step 6:Solve the equation to find the diameter of the riser, which in this case is 6.02 mm.