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 measured 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 measured to be at 5°C. The steel has a modulus of elasticity equal to 200,000 MPa 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 4 meters?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 measured 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 measured to be at 5°C. The steel has a modulus of elasticity equal to 200,000 MPa 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 4 meters?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 * 10-5m/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?
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