A steel rod 1 meter long with a cross-sectional area of 1200 mm² is stretched between two fixed points. The tensile force is 200 kN at 30°C. Using E = 200 GPa and a = 11.7μm/m°C, calculate (a) the temperature at which the stress in the bar will be 30 MPa; and (b) the temperature at which the stress will be zero.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.11.4P: A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material...
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A steel rod 1 meter long with a cross-sectional area of 1200 mm² is stretched
between two fixed points. The tensile force is 200 kN at 30°C. Using E = 200 GPa and a =
11.7μm/m°C, calculate (a) the temperature at which the stress in the bar will be 30 MPa;
and (b) the temperature at which the stress will be zero.
Transcribed Image Text:A steel rod 1 meter long with a cross-sectional area of 1200 mm² is stretched between two fixed points. The tensile force is 200 kN at 30°C. Using E = 200 GPa and a = 11.7μm/m°C, calculate (a) the temperature at which the stress in the bar will be 30 MPa; and (b) the temperature at which the stress will be zero.
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