EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
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
struts for which the factor of safety is the same as the factor of
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