A 4 meter long steel plate with a rectangular cross section (10 mm x 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 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1x10-5/°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 meter long steel plate with a rectangular cross section (10 mm x 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 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1x10-5/°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?

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 4 meter long steel plate with a rectangular cross section (10 mm x 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 5°C. The steel has a modulus of elasticity equal to 200 GPa and a
coefficient of thermal expansion equal to 1.1x10-5/°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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