Problem 3 F-10,000N- L=1m Consider a tapered bar of circular cross-section shown in the Figure. The length of the bar is 1 m, and the radius varies as r(x) = 0.060 -0.030x:, where r and x are in meters. Assume Young's modulus 150MPa. Both ends of the bar are fixed, and F= 10,000 N is applied at the center. Determine the displacements, axial force distribution, and wall reactions using 2,3,4 and 5 elements of equal length. To approximate the area of cross-section of a bar element, use the geometric mean of the end areas of the element. Compare the results.
Problem 3 F-10,000N- L=1m Consider a tapered bar of circular cross-section shown in the Figure. The length of the bar is 1 m, and the radius varies as r(x) = 0.060 -0.030x:, where r and x are in meters. Assume Young's modulus 150MPa. Both ends of the bar are fixed, and F= 10,000 N is applied at the center. Determine the displacements, axial force distribution, and wall reactions using 2,3,4 and 5 elements of equal length. To approximate the area of cross-section of a bar element, use the geometric mean of the end areas of the element. Compare the results.
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 2.3.26P: A uniformly tapered lube AB of circular cross section and length L is shown in the figure. The...
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