A 4-meter-long steel plate with a rectangular cross section (10×50) 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 -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?
A 4-meter-long steel plate with a rectangular cross section (10×50) 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 -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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 4-meter-long steel plate with a rectangular cross section (10×50) 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
-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?
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