Question #8: A tensile load of 50,000 lb is applied to a metal bar with a 0.6 in. x 0.6 in. cross section and a gage length of 2 in. Under this load the bar elastically deforms so that the gage length increases to 2.007 in. and the cross section decreases to 0.599 in. x 0.599 in. Determine: a) The modulus of elasticity [Ans. 39682 ksi] b) Poisson's ratio [Ans. 0.48]

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
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Question #8:
A tensile load of 50,000 lb is applied to a metal bar with a 0.6 in. x 0.6 in. cross section and a gage length of 2
in. Under this load the bar elastically deforms so that the gage length increases to 2.007 in. and the cross section
decreases to 0.599 in. x 0.599 in. Determine:
a) The modulus of elasticity [Ans. 39682 ksi]
b) Poisson's ratio [Ans. 0.48]
Question #9:
A cylinder with a 6.0 in. diameter and 12.0 in. length is put under a compressive load of 150 kips. The modulus
of elasticity for this specimen is 8,000 ksi and Poisson's ratio is 0.35. Calculate the final length (L) and the final
diameter (D) of this specimen under this load assuming that the material remains within the linear elastic
region. [Ans. L 11.992 in. D, 6.00139 in.]
Question # 10:
Define the coefficient of thermal expansion. What is the relation between the linear and the volumetric
coefficients of thermal expansion?
Question #11:
A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If
the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at
the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10 m/m/°C. [Ans. Lf
200,250 microns, df=20,025 microns]
2
Transcribed Image Text:Question #8: A tensile load of 50,000 lb is applied to a metal bar with a 0.6 in. x 0.6 in. cross section and a gage length of 2 in. Under this load the bar elastically deforms so that the gage length increases to 2.007 in. and the cross section decreases to 0.599 in. x 0.599 in. Determine: a) The modulus of elasticity [Ans. 39682 ksi] b) Poisson's ratio [Ans. 0.48] Question #9: A cylinder with a 6.0 in. diameter and 12.0 in. length is put under a compressive load of 150 kips. The modulus of elasticity for this specimen is 8,000 ksi and Poisson's ratio is 0.35. Calculate the final length (L) and the final diameter (D) of this specimen under this load assuming that the material remains within the linear elastic region. [Ans. L 11.992 in. D, 6.00139 in.] Question # 10: Define the coefficient of thermal expansion. What is the relation between the linear and the volumetric coefficients of thermal expansion? Question #11: A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10 m/m/°C. [Ans. Lf 200,250 microns, df=20,025 microns] 2
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