Final answer:
The required diameter of the parison is approximately 1.7308 inches. The diameter of the die is approximately 1.8208 inches. The tensile stress in the bottle as it reaches its inflated size is approximately 844.44 lb/in².
Step-by-step explanation:
To calculate the required diameter of the parison, we can use the formula for the blow ratio, which is the ratio of the final diameter of the bottle to the initial diameter of the parison. The blow ratio is given by:
Blow Ratio = (Final Diameter of Bottle) / (Initial Diameter of Parison)
We are given that the final diameter of the bottle is 2.250 in, the initial diameter of the parison is what we need to find, and the observed die swell ratio is 1.30. Using these values, we can rearrange the formula and solve for the initial diameter of the parison:
Initial Diameter of Parison = (Final Diameter of Bottle) / (Blow Ratio)
Substituting the given values, we get:
Initial Diameter of Parison = 2.250 in / 1.30 = 1.7308 in.
So, the required diameter of the parison is approximately 1.7308 inches.
To calculate the diameter of the die, we can use the formula:
Diameter of Die = Initial Diameter of Parison + (2 x Wall Thickness)
Substituting the given values, we get:
Diameter of Die = 1.7308 in + (2 x 0.045 in) = 1.8208 in.
So, the diameter of the die is approximately 1.8208 inches.
To calculate the tensile stress in the bottle, we can use the formula:
Tensile Stress = Internal Pressure / Wall Thickness
Substituting the given values, we get:
Tensile Stress = 38.0 lb/in² / 0.045 in = 844.44 lb/in².
So, the tensile stress in the bottle as it reaches its inflated size is approximately 844.44 lb/in².