scholarly journals Closure to “Discussion of ‘Deflections and Moments Due to a Concentrated Load on a Cantilever Plate of Infinite Length’” (1950, ASME J. Appl. Mech., 17, pp. 342–343)

1950 ◽  
Vol 17 (3) ◽  
pp. 343
Author(s):  
T. J. Jaramillo
Keyword(s):  
Infinite Length ◽  
Cantilever Plate ◽  
Concentrated Load

Deflections and Moments Due to a Concentrated Load on a Cantilever Plate of Infinite Length

1950 ◽  
Vol 17 (1) ◽  
pp. 67-72 ◽  
Author(s):  
T. J. Jaramillo
Keyword(s):  
Constant Width ◽  
Arbitrary Point ◽  
Free Edge ◽  
Practical Significance ◽  
Infinite Length ◽  
Cantilever Plate ◽  
Concentrated Load ◽  
Numerical Examples ◽  
Improper Integrals ◽  
Special Case

Abstract This paper contains an exact solution in terms of improper integrals for the deflections and moments due to a transverse concentrated load acting at an arbitrary point of an infinitely long cantilever plate of constant width and thickness. The solution is transformed into series form by means of contour integration, and is illustrated by numerical examples. In particular, comparisons are made with the known solution (1) for the special case where the load is applied at the free edge of the plate. The results obtained are of practical significance in connection with the design of certain types of monorail cranes.

Lateral Buckling Analysis for Rectangular Cantilever Plate Subjected to a Concentrated Loads

2013 ◽  
Vol 671-674 ◽  
pp. 1596-1599
Author(s):  
Li Qiang Jiang ◽  
Song Jin Wu ◽  
Hong Zheng
Keyword(s):  
Width Ratio ◽  
Cantilever Plate ◽  
Lateral Buckling ◽  
Buckling Mode ◽  
Concentrated Load ◽  
Finite Element Software ◽  
Component Design ◽  
Length Width ◽  
Set Up ◽  
Different Thickness

In order to get the lateral buckling performance of rectangular cantilever plate under concentrated load.200 buckling mode of 30 plates is competed by ANSYS finite element software. All kinds of buckling load and span-height ratio curves is built up with different thickness of plate. Comparison analytical solution and ANSYS solution, the length-width ratio range is concluded applicable for that formula. Then the formula is modified to make its calculated results better tally with the ones of ANSYS analyses and make precise the calculation of the critical load of lateral buckling of the plate. The solution set up foundation for rectangular cantilever plate component design and stability analysis.

Cantilever Plate With Concentrated Edge Load

1937 ◽  
Vol 4 (1) ◽  
pp. A8-A10 ◽  
Author(s):  
D. L. Holl
Keyword(s):  
Approximate Solution ◽  
Boundary Conditions ◽  
Finite Length ◽  
Finite Differences ◽  
Free Edge ◽  
Cantilever Plate ◽  
Transverse Stress ◽  
Longitudinal Stress ◽  
Concentrated Load ◽  
Clamped Edge

Abstract The author gives, by the method of finite differences, an approximate solution of the problem of a finite length of a cantilever plate which bears a concentrated load at the longitudinal free edge. All the boundary conditions are taken into account, and the plate action is determined approximately at all points of the plate. The author points out that a secondary maximum transverse stress occurs at the clamped edge nearest the loading point, and that the longitudinal stress is greatest directly under the loading point.

Sign in / Sign up

Export Citation Format

Share Document