EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 9780100257061
Author: BEER
Publisher: YUZU
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Chapter 10.1, Problem 26P
Column AB carries a centric load P of magnitude 15 kips. Cables BC and BD are taut and prevent motion of point B in the xz plane. Using Euler’s formula and a factor of safety of 2.2, and neglecting the tension in the cables, determine the maximum allowable length L. Use E = 29 × 106 psi.
Fig. P10.26
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Determine (a) the critical load for the steel strut, (b) the dimension d for which the aluminum strut will have the same critical load, (c) the weight of the aluminum strut as a percent of the weight of the steel strut
(a) Considering only buckling in the plane of the structure shown and using Euler’s formula, determine the value of θbetween 0 and 90° for which the allowable magnitude of the load P is maximum. (b) Determine the corresponding maximum value of P knowing that a factor of safety of 3.2 is required. Use E= 29 x 106 psi.
10.27 Each of the five struts shown consists of a solid steel rod.
(a) Knowing that the strut of Fig. (1) is of a 20-mm diameter,
determine the factor of safety with respect to buckling for the
loading shown. (b) Determine the diameter of each of the other
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safety obtained in part a. Use E = 200 GPa.
Pa-75 kN
900 mm
(1)
(3)
(5)
Fig. P10.27
Chapter 10 Solutions
EBK MECHANICS OF MATERIALS
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License