A cast iron bar 80mm in diameter and 1m long is surrounded by a shell of a steel 10mm thick. Est=200 GPa, Eci=100GPa. a. Find the load that will compress the cast iron bar a total of 1 mm in the length of 1m. b. Find the load that will compress the steel shell a total of 1 mm in the length of 1m. c. What is the total load that will compress the combined bar a total length of 1mm.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A cast iron bar 80mm in diameter and 1m long is surrounded by a shell of a steel 10mm thick. Est=200 GPa, Eci=100GPa.

a. Find the load that will compress the cast iron bar a total of 1 mm in the length of 1m.

b. Find the load that will compress the steel shell a total of 1 mm in the length of 1m.

c. What is the total load that will compress the combined bar a total length of 1mm.

d. Find the deformation of the cast iron bar if it has a coefficient of thermal expansion of 10.8 μm/(m°C), and if there’s a decrease in temperature by 25°C.

e. Find the deformation of the steel shell if it has a coefficient of thermal expansion of 11.7 μm/(m°C), and if there’s a decrease in temperature by 25°C.

f. What is the total deformation of the castiron bar?

g. What is the total deformation of the steel shell?

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