A square plastic bar (Length Lp,side dimension Sp=193mm) is inserted inside a hollow.Square cast iron tube (length Lc=400 mm .side Sc=200ER mm ,and thickness tc=3 mm).   (a) What is the required initial length Lp of the plastic bar so that ,when it is compressed by some force P the final length of bar and tube are equal to length Le and, at the same time ,the gap between plastic bar and cast iron tube is closed? (b) Compare initial and final volumes for plastic bar. Assume that Ec=170 Gpa ,Ep=2.1 GPa, vc=0.3, and vp=0.4

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter14: Material Selection
Section: Chapter Questions
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A square plastic bar (Length Lp,side dimension Sp=193mm) is inserted inside a hollow.Square cast iron tube (length Lc=400 mm .side Sc=200ER mm ,and thickness tc=3 mm).

 

(a) What is the required initial length Lp of the plastic bar so that ,when it is compressed by some force P the final length of bar and tube are equal to length Le and, at the same time ,the gap between plastic bar and cast iron tube is closed?

(b) Compare initial and final volumes for plastic bar.

Assume that Ec=170 Gpa ,Ep=2.1 GPa, vc=0.3, and vp=0.4

Cast iron tube
=3 mm
Plastic bar
Sp = 193 mm
Se= 200 mm
Force P on
plastic bar
- Inner plastic
bar
Outer cast iron
bar
Transcribed Image Text:Cast iron tube =3 mm Plastic bar Sp = 193 mm Se= 200 mm Force P on plastic bar - Inner plastic bar Outer cast iron bar
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