Answer to Question #198563 in Mechanical Engineering for Aman sharma

Question

1- In the casting of steel under certain mold conditions, the mold constant in Chvorinov's Rule is 

known to be 4.0 min/cm2

, based on previous experience. The casting is a plate (fig. 1) whose 

length l = 30 cm, width w = 10 cm, and thickness/height h = 20 mm. Determine the time it will 

take for the casting to solidify.

Answer 1

volume of the plate is

$V=30\times 10\times 2$

$V=600cm^2$

Area of the plate is

$A=2[(30\times10)+(30\times2)+10\times2)]$

$A=2(380)$

$A=760cm^2$

$T=c_m[\frac{V^2}{A}]$

$T=4\times[\frac{600^2}{780}]$

$T=4\times(0.789)^2$

$T=2.49 min$

therefore time required to solidify is $T=2.49 min$