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Case Study Introduction
Published in Ashwani Bedi, Ramsey Dabby, Structure for Architects, 2019
Slenderness ratio refers to the proportional relationship between a column’s effective length and its least radius of gyration. It is given by: slenderness ratio = Le / rwhere:L = actual length of columnk = k-factor (a condition of the column’s end restraints)Le = kL = effective lengthr = least radius of gyration (a measure of the column’s cross-sectional stiffness) The Reader is referred to basic structural texts for additional information on k-factor and radius of gyration.
General matters
Published in Trevor Draycott, Structural Elements Design Manual, 2012
The factor which governs the permissible stress of a long column is its slenderness ratio. This is the ratio of the effective length to the least radius of gyration of the member. The permissible compressive stress reduces as the slenderness ratio of the column increases. Thus Slendernessration=effectivelengthleastradiusofgyrationSR=lr
Experimental study on inelastic lateral torsional buckling of H-shaped steel beam-columns
Published in Federico M. Mazzolani, Stessa 2003, 2018
The slenderness ratio is fundamental parameter which is concerned with the buckling strength. In this study, the equivalent slenderness ratio λbc which was defined in equation (1) is used.
An Efficient Hybrid Particle Swarm and Teaching-Learning-Based Optimization for Arch-Dam Shape Design
Published in Structural Engineering International, 2022
Mohsen Shahrouzi, Yaser Naserifar
The cross section of every ith member group is denoted by Ai as a continuous design variable. It is confined within 0.775 in2 to 20.000 in2 as simple bounds, respectively. The member gyration radii are obtained from the corresponding areas by the following relation, interpolated for pipe sections: The coefficients a and b are given for the imperial system of units. The structural members are constrained by the regulations on allowable stress due to the code of practice78 as where λ is the slenderness ratio of the corresponding member and is calculated using the effective length divided by the section gyration radius. The structure includes truss members with an effective length factor of unity.
Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory
Published in Mechanics of Advanced Materials and Structures, 2020
Zheng Zhang, Yang Li, Helong Wu, Huanqing Zhang, Huaping Wu, Shaofei Jiang, Guozhong Chai
The dimensionless Figure 5, Figure 6buckling loads for clamped GOPRC beams with different GOP distribution types are compared in Figure 5. It shows that the X-GOPRC beam is the strongest beam that carries the largest buckling load, followed by the U-GOPRC beam and O-GOPRC beam. In Figure 6, the critical buckling load versus the thickness Figure 8ratio curves are plotted for X-GOPRC beams with different GOP weight fractions. The buckling load is significantly reduced as the slenderness ratio changes from 10 to 30, after which the effect of slenderness ratio becomes much less pronounced. Figure 7 compares the critical buckling loads of nanocomposite beams reinforced with same amount of GOPs, SWCNTs, and MWCNTs, respectively. It is found that GOPs give the best reinforcing effect among those nanofillers.
On the use of Chebyshev polynomials in the Rayleigh-Ritz method for vibration and buckling analyses of circular cylindrical three-dimensional graphene foam shells
Published in Mechanics Based Design of Structures and Machines, 2021
Table 10 tabulates the lowest dimensionless buckling load of the PD-1 cylindrical shell for different boundary conditions and slenderness ratios. Different from the effect of thickness-radius ratio, the increase of slenderness ratio makes the buckling load decrease first and then increase.