A 4-m-long steel plate with a rectangular cross section (10 mm * 50 mm) is resting on a frictionless surface under the sun. The plate temperature is meas-ured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is meas-ured to be at 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1 * 10-5m/m/°C. a. What is the length of shrinkage?b. What tension load is needed to return the length to the original value of 4meters?c. What is the longitudinal strain under this load?
A 4-m-long steel plate with a rectangular cross section (10 mm * 50 mm) is resting on a frictionless surface under the sun. The plate temperature is meas-ured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is meas-ured to be at 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1 * 10-5m/m/°C. a. What is the length of shrinkage?b. What tension load is needed to return the length to the original value of 4meters?c. What is the longitudinal strain under this load?
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.20P
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A 4-m-long steel plate with a rectangular cross section (10 mm * 50 mm) is
resting on a frictionless surface under the sun. The plate temperature is meas-
ured to be at 40°C. The plate is then moved into a cold room and is left to rest
on a frictionless surface. After several hours, the plate temperature is meas-
ured to be at 5°C. The steel has a modulus of elasticity equal to 200 GPa and a
coefficient of thermal expansion equal to 1.1 * 10-5
m/m/°C.
a. What is the length of shrinkage?
b. What tension load is needed to return the length to the original value of 4
meters?
c. What is the longitudinal strain under this load?
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