Answered: Cast iron tube te =3 mm Plastic bar =…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A square plastic bar (length L_p, side dimension
s_p = 193 mm) is inserted inside a hollow,
square, cast iron tube (length L_c = 400 mm, side
s_c = 200 mm, and thickness tc = 3 mm).

(a) What is the required initial length L_p 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 L_c 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 E_c =170 GPa, E_p = 2.1 GPa, v_c = 0.3,
and v_p = 0.4.

Cast iron tube
te =3 mm
Plastic bar
= 193 mm
Se = 200 mm
Force P on
plastic bar
-Sp
Inner plastic
bar
Lp Le
Outer cast iron
bar

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