Question
Download Solution PDFA cubical cavity of 100 mm side undergoes volumetric solidification shrinkage and volumetric solid contraction of 5% each. No riser is used. Assume uniform cooling in all direction. What will be the side of the cube after solidification and contraction? [assume, (0.95)1/3 = 0.983, (0.95)2/3 = 0.9663]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
When a cubical cavity undergoes volumetric solidification shrinkage and solid contraction, its volume decreases in proportion to the given shrinkage percentages.
The final volume after shrinkage is given by:
Since the cube shrinks uniformly in all directions, the final side length can be expressed as:
Given:
- Initial side length of the cube:
- Volumetric solidification shrinkage: 5%
- Volumetric solid contraction: 5%
- Given value:
Calculation:
Step 1: Compute the final side length
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