The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young’s Modulus for the material (E) is 250 GPa. When the rod is placed under tension it experiences deformation and a stress (?) of 650 MPa. Calculate the following: (1) Strain energy (U) to 2 decimal places in Joules. (2) Strain energy per unit volume (U/V) in J/m3 (3) The change in length ∆L to 2 decimal places in mm. (4) The strain (?) due to deformation to 2 significant figures. (show all work)

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 2.7.2P: A bar with a circular cross section having two different diameters d and 2d is shown in the figure....
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The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young’s Modulus for the material (E) is 250 GPa. When the rod is placed under tension it experiences deformation and a stress (?) of 650 MPa. Calculate the following:
(1) Strain energy (U) to 2 decimal places in Joules.
(2) Strain energy per unit volume (U/V) in J/m3
(3) The change in length ∆L to 2 decimal places in mm.
(4) The strain (?) due to deformation to 2 significant figures. (show all work)

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