Tensionless contact of a finite beam: Concentrated load inside and outside the contact zone

Abstract

For a finite beam with a nonzero gap distance, an asymmetric concentrated load can be either inside or outside of the contact zone. A new governing equation is given for the case of a concentrated load outside the contact zone. By numerically solving the left-side and right-side contact lengths of the beam, a criterion is established to determine whether the concentrated load is inside or outside the contact zone. A more general approach on the tensionless contact of a beam is thus presented.

The Mexican hat effect on the delamination buckling of a compressed thin film

“…At ξ = B, the following matching conditions need to be satisfied [7,[17][18][19], which is required to ensure the continuity of displacement, slope, and moment.…”

“…(14) Actually the matching conditions should also contain the continuity of shear force, i.e., W 1ξξξ (B) = W 2ξξξ (B) [7,[17][18][19]. However, as the film is modeled as an infinite one, two terms in W 2 which result in infinite displacement are tossed away.…”

Effects of New Tunnelling on a Buried Pipeline with Joints and Its Detachment

“…The existing solutions to this problem are highly sophisticated mathematical analyses. Some distinct approaches may be found in the literature: direct approaches, numerical simulations and mathematical models [30][31][32][33][34][35][36][37][38]. To deal with the problem, a set of transcendental equations or inequalities, and an iterative technique is utilized in all approaches.…”

Free–Free Beam Resting on Tensionless Elastic Foundation Subjected to Patch Load

“…These categories are the nature of loading, the type of foundation model, and the beam geometry (finite/infinite). The nature of loading discussed includes static point loads (with and without distributed loads) [5][6][7][8][9][10] and also moving loads [11,12]. The applications of these types of loads were also discussed in these studies [5][6][7][8][9][10][11][12], such as the static point load can be applied to columns on strip foundations and moving point load can be applied to wheel load in pavements and railways.…”

“…The nature of loading discussed includes static point loads (with and without distributed loads) [5][6][7][8][9][10] and also moving loads [11,12]. The applications of these types of loads were also discussed in these studies [5][6][7][8][9][10][11][12], such as the static point load can be applied to columns on strip foundations and moving point load can be applied to wheel load in pavements and railways. The types of foundation models addressed include the Winkler model [1,2], the two-parameter foundation model [13][14][15][16][17][18], the Reissner foundation [19], the elastic-plastic foundation [20], and others [21,22].…”