Journal ArticleDOI
Minimum-weight design of multi-purpose tie-column of solid construction
TLDR
In this article, the minimum weight design of an elastic pin-ended member of solid construction under prescribed bounds on the maximum permissible elongation under axial tension and on the minimum allowable Euler buckling load was provided.Abstract:
The paper provides the minimum-weight design of an elastic pin-ended member of solid construction under prescribed bounds on the maximum permissible elongation under axial tension and on the minimum allowable Euler buckling load. The member is to act as a tie for a part of its design life and as a column for the rest. Optimization for more than one design requirement not only unifies the design of mass-produced structural/mechanical elements, but also provides, at times, a practically acceptable design in that the optimal design does not have zero cross-sectional area at simply-supported ends—a situation quite common in optimal designs for a single requirement. However, it is shown that the constraints on longitudinal elongation and buckling load are less severe than that on the maximum stress. The effectiveness of optimization is judged by comparing the volume (mass) of the optimally designed member with that of a prismatic bar having the same buckling load.read more
Citations
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Optimal design of I-section beam-columns with stress, non-linear deflection and stability constraints
TL;DR: This paper presents the optimal design of prismatic I-section beam-columns under stress, non-linear deflection and global buckling constraints with one of the recent metaheuristic algorithms and discusses the influence of variable grouping on the optimization results.
Journal ArticleDOI
Maximum Strength Design of Structural Frames
TL;DR: In this article, a method of solving the minimum weight/maximum strength design problem of plane rigid frames under the influence of their self-weight as well as externally applied forces is described.
Journal ArticleDOI
Optimal strength design of beam-columns
TL;DR: In this paper, the optimal design of elastic beam-columns which are acted upon simultaneously by an axial compressive and transverse forces is considered, and the design has to be such that it uses least amount of material to achieve prescribed strength under given loading conditions.
Journal ArticleDOI
Minimum weight design of beam columns
TL;DR: In this article, the minimum weight design of elastic, pin-ended members which are acted upon simultaneously by an axial compression and a transverse midspan concentrated load is considered.
Journal ArticleDOI
Minimum-Weight Design of Multipurpose Tie-Beam of Solid Cross-Section
TL;DR: In this paper, the minimum-weight design of an elastic, simply-supported member of solid cross-section that is to act as a tie for a part of its design life and as a beam for the rest, but not both at any given time, is presented.
References
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Journal ArticleDOI
Problems of Optimal Structural Design
William Prager,J. E. Taylor +1 more
TL;DR: Optimal sandwich structure design for stiffness, natural frequency, buckling load and safety through plasticity is discussed in this paper, where the optimal sandwich structure is optimized for stiffness and natural frequency.
Journal ArticleDOI
The shape of the strongest column
TL;DR: In this article, Clausen and Weinberger showed that the strongest column has an equilateral triangle as cross section, and it is tapered along its length, being thickest in the middle and thinnest at its ends.
Journal ArticleDOI
Strongest Columns and Isoperimetric Inequalities for Eigenvalues
I. Tadjbakhsh,Joseph B. Keller +1 more
TL;DR: In this paper, the authors considered the problem of determining what shape column has the largest critical buckling load of all columns of given length and volume, assuming that all cross sections of the column are similar and similarly oriented.
Journal ArticleDOI
On the optimal design of a vibrating beam
TL;DR: In this article, the problem of finding the best possible tapering of a simply supported beam, which for a given volume would have the highest possible value of the natural frequency for the lowest mode of lateral vibrations, is dealt with.
Journal ArticleDOI
Optimum design of vibrating cantilevers
TL;DR: In this paper, the authors determine the optimum tapering of a cantilever carrying an end mass, i.e., the shape which yields the highest possible value of the first fundamental frequency of harmonic bending vibrations in the vertical plane.