A square plastic bar (length Lp, side dimension sp = 193 mm) is inserted inside a hollow, square, cast iron tube (length Lc = 400 mm, side sc = 200 mm, and thickness tc = 3mm). (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 legnth Lc, and, at the same time, the gap between plastic bar and cast iron tube is closed? (b) Compare initial and final volumes for the plastic bar. Assume that Ec = 170 GPa, Ep = 2.1 GPa, vc = 0.3, and vp = 0.4.
A square plastic bar (length Lp, side dimension sp = 193 mm) is inserted inside a hollow, square, cast iron tube (length Lc = 400 mm, side sc = 200 mm, and thickness tc = 3mm). (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 legnth Lc, and, at the same time, the gap between plastic bar and cast iron tube is closed? (b) Compare initial and final volumes for the plastic bar. Assume that Ec = 170 GPa, Ep = 2.1 GPa, vc = 0.3, and vp = 0.4.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A square plastic bar (length Lp, side dimension sp = 193 mm) is inserted inside a hollow, square, cast iron tube (length Lc = 400 mm, side sc = 200 mm, and thickness tc = 3mm).
(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 legnth Lc, and, at the same time, the gap between plastic bar and cast iron tube is closed?
(b) Compare initial and final volumes for the plastic bar.
Assume that Ec = 170 GPa, Ep = 2.1 GPa, vc = 0.3, and vp = 0.4.
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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