EBK MANUFACTURING PROCESSES FOR ENGINEE
EBK MANUFACTURING PROCESSES FOR ENGINEE
6th Edition
ISBN: 9780134425115
Author: Schmid
Publisher: YUZU
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Chapter 5, Problem 5.64P
To determine

The ratio of solidification times of two castings.

Expert Solution & Answer
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Answer to Problem 5.64P

  The ratio:- TroundTelliptical=2.67

Given information:

The equation:-

  Round casting;- d=0.3m   and  l=0.5m

Another casting is of elliptical cross-section:

  Major axis(a)=3×minor axis(b)Length:  L=0.5m

Cross-sectional area of elliptical casting is same as of round casting. Both casting are done at same conditions.

Explanation of Solution

Calculation:

First determine the surface area and volume for each casting shapes:-

Round casting:-

  ( A Surface)round=2πr(l+r)=2π×0.15×(0.5+0.15)( A Surface)round=0.613 m3Vround=πr2l=π(0.15)2(0.5)=0.0353 m3

Elliptical casting:-

  ( A elliptical)cross-section=( A round)cross-sectionπab=πr2also,    a=3b  3b2=r2  3b2=(0.15)2b=0.0866 mand  a=0.260 m    ( A Surface)elliptical=2π[ab+ a 2+ b 2l]( A Surface)elliptical=2π[0.26×0.0866+ 0.26 2+ ( 0.0866 ) 2×0.5]( A Surface)elliptical=1.002m2Velliptical=πabl=π×0.0866×0.260×0.5Velliptical=0.0353 m3

Now, as per the chvarinov’s rule.

Solidification time,

  T=C( Volume Surface area)2   T roundT elliptical= ( V A Surface ) round2 ( V A Surface ) round2T roundT elliptical= ( 0.0353 0.613 )2 ( 0.0353 1.002 )2T roundT elliptical=2.67

Conclusion: The ratio of solidification times of two casting is 2.67.

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Chapter 5 Solutions

EBK MANUFACTURING PROCESSES FOR ENGINEE

Ch. 5 - Prob. 5.11QCh. 5 - Prob. 5.12QCh. 5 - Prob. 5.13QCh. 5 - Prob. 5.14QCh. 5 - Prob. 5.15QCh. 5 - Prob. 5.16QCh. 5 - Prob. 5.17QCh. 5 - Prob. 5.18QCh. 5 - Prob. 5.19QCh. 5 - Prob. 5.20QCh. 5 - Prob. 5.21QCh. 5 - Prob. 5.22QCh. 5 - Prob. 5.23QCh. 5 - Prob. 5.24QCh. 5 - Prob. 5.25QCh. 5 - Prob. 5.26QCh. 5 - Prob. 5.27QCh. 5 - Prob. 5.28QCh. 5 - Prob. 5.29QCh. 5 - Prob. 5.30QCh. 5 - Prob. 5.31QCh. 5 - Prob. 5.32QCh. 5 - Prob. 5.33QCh. 5 - Prob. 5.34QCh. 5 - Prob. 5.35QCh. 5 - Prob. 5.36QCh. 5 - Prob. 5.37QCh. 5 - Prob. 5.38QCh. 5 - Prob. 5.39QCh. 5 - Prob. 5.40QCh. 5 - Prob. 5.41QCh. 5 - Prob. 5.42QCh. 5 - Prob. 5.43QCh. 5 - Prob. 5.44QCh. 5 - Prob. 5.45QCh. 5 - Prob. 5.46QCh. 5 - Prob. 5.47QCh. 5 - Prob. 5.48QCh. 5 - Prob. 5.49QCh. 5 - Prob. 5.50QCh. 5 - Prob. 5.51QCh. 5 - Prob. 5.52QCh. 5 - Prob. 5.53QCh. 5 - Prob. 5.54QCh. 5 - Prob. 5.55QCh. 5 - Prob. 5.56QCh. 5 - Prob. 5.57QCh. 5 - Prob. 5.58QCh. 5 - Prob. 5.59QCh. 5 - Prob. 5.60QCh. 5 - Prob. 5.61PCh. 5 - Prob. 5.62PCh. 5 - Prob. 5.63PCh. 5 - Prob. 5.64PCh. 5 - Prob. 5.65PCh. 5 - Prob. 5.66PCh. 5 - Prob. 5.67PCh. 5 - Prob. 5.68PCh. 5 - Prob. 5.69PCh. 5 - Prob. 5.70PCh. 5 - Prob. 5.71PCh. 5 - Prob. 5.72PCh. 5 - Prob. 5.73PCh. 5 - Prob. 5.74PCh. 5 - Prob. 5.75PCh. 5 - Prob. 5.76PCh. 5 - Prob. 5.77PCh. 5 - Prob. 5.78PCh. 5 - Prob. 5.79PCh. 5 - Prob. 5.80PCh. 5 - Prob. 5.81PCh. 5 - Prob. 5.82PCh. 5 - Prob. 5.83PCh. 5 - Prob. 5.84PCh. 5 - Prob. 5.85PCh. 5 - Prob. 5.86PCh. 5 - Prob. 5.87PCh. 5 - Prob. 5.88PCh. 5 - Prob. 5.89PCh. 5 - Prob. 5.90PCh. 5 - Prob. 5.91PCh. 5 - Prob. 5.92PCh. 5 - Prob. 5.93DCh. 5 - Prob. 5.94DCh. 5 - Prob. 5.95DCh. 5 - Prob. 5.96DCh. 5 - Prob. 5.97DCh. 5 - Prob. 5.98DCh. 5 - Prob. 5.99DCh. 5 - Prob. 5.100DCh. 5 - Prob. 5.101DCh. 5 - Prob. 5.102DCh. 5 - Prob. 5.103DCh. 5 - Prob. 5.104DCh. 5 - Prob. 5.105DCh. 5 - Prob. 5.106DCh. 5 - Prob. 5.107DCh. 5 - Prob. 5.108DCh. 5 - Prob. 5.109DCh. 5 - Prob. 5.110DCh. 5 - Prob. 5.111DCh. 5 - Prob. 5.112DCh. 5 - Prob. 5.113DCh. 5 - Prob. 5.114DCh. 5 - Prob. 5.115D
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