Tables of Moments and Deflections for a Rectangular Plate Fixed on All Edges and Carrying a Uniformly Distributed Load

1939 ◽  
Vol 6 (1) ◽  
pp. A7-A10
Author(s):  
Thomas H. Evans
Keyword(s):  
Rectangular Plate ◽  
Simultaneous Equations ◽  
Trial And Error ◽  
Uniform Load ◽  
Distributed Load ◽  
Error Process ◽  
Uniformly Distributed Load ◽  
Square Plate

Abstract The problem of the clamped rectangular plate with a uniform load was solved by Hencky in 1913 and independently by Boobnoff in 1914. The former calculated values only for the case of a square plate. In 1937, Wojtaszak, using Hencky’s method, calculated several other cases. In this paper the maximum moments and deflections for all side ratios between 1.0 and 2.0, by intervals of 0.1, are determined following Hencky’s procedure. Growing out of the necessity for solving eight groups of simultaneous equations in twelve unknowns a short cut on the usual trial and error process of solution was developed.

scholarly journals Structural Imposed Load Analysis of Isotropic Rectangular Plate Carrying a Uniformly Distributed Load Using Refined Shear Plate Theory

2021 ◽  
Vol 6 (4) ◽  
Author(s):  
Festus C. Onyeka ◽  
Chidoebere D. Nwa-David ◽  
Emmanuel E. Arinze
Keyword(s):  
Shear Deformation ◽  
Rectangular Plate ◽  
Plate Theory ◽  
Plate Thickness ◽  
Variational Calculus ◽  
Present Theory ◽  
Numerical Comparison ◽  
Analysis And Design ◽  
Distributed Load ◽  
Uniformly Distributed Load

This presents the static flexural analysis of a three edge simply supported, one support free (SSFS) rectangular plate under uniformly distributed load using a refined shear deformation plate theory. The shear deformation profile used, is in the form of third order. The governing equations were determined by the method of energy variational calculus, to obtain the deflection and shear deformation along the direction of x and y axis. From the formulated expression, the formulars for determination of the critical lateral imposed load of the plate before deflection reaches the specified maximum specified limit  and its corresponding critical lateral imposed load before plate reaches an elastic yield stress  is established. The study showed that the critical lateral imposed load decreased as the plates span increases, the critical lateral imposed load increased as the plate thickness increases, as the specified thickness of the plate increased, the value of critical lateral imposed load increased and increase in the value of the allowable deflection value required for the analysis of the plate reduced the chances of failure of a structural member. This approach overcomes the challenges of the conventional practice in the structural analysis and design which involves checking of deflection and shear after design; the process which is proved unreliable and time consuming. It is concluded that the values of critical lateral load obtained by this theory achieve accepted transverse shear stress to the depth of the plate variation in predicting the flexural characteristics for an isotropic rectangular SSFS plate. Numerical comparison was conducted to verify and demonstrate the efficiency of the present theory, and they agreed with previous studies. This proved that the present theory is reliable for the analysis of a rectangular plate. Keywords— Allowable deflection, critical imposed load, energy method, plate theories, shear deformation, SSFS rectangular plate

Limit analysis for plates: the exact solution for a clamped square plate of isotropic homogeneous material obeying the square yield criteron and loaded by uniform pressure

1974 ◽  
Vol 277 (1265) ◽  
pp. 121-155 ◽  
Keyword(s):  
Exact Solution ◽  
Limit Analysis ◽  
Yield Criterion ◽  
Homogeneous Material ◽  
Perfectly Plastic ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
Edge Conditions ◽  
Square Plate ◽  
Close Upper Bounds

Known exact solutions in limit analysis for rigid-perfectly plastic plates are relatively scarce because of their probable complexity even for simple loading and edge conditions. This complexity is exemplified in the present exact solution for the problem of a uniformly distributed load on a clamped square plate of isotropic homogeneous material obeying the square yield criterion in bending. The solution is extended to cover the case of a uniformly distributed load on a clamped plate of any regular polygonal shape. A comparison of the present exact results and those of Fox (1972) with earlier upper bound solutions is evidence that close upper bounds for the collapse load will normally be obtainable by the use of assumed mechanisms much simpler than the exact mechanism.

Under Uniformly Distributed Load are Fixed on one Side (Simple) on the Edge Simply Supported and Fixed Half Bending of Rectangular Plates

2012 ◽  
Vol 152-154 ◽  
pp. 840-845
Author(s):  
Ying Jie Chen ◽  
Bao Lian Fu ◽  
Liang Wang ◽  
Jie Wu
Keyword(s):  
Rectangular Plate ◽  
Variable Method ◽  
Engineering Practice ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
Surface Deflection ◽  
Mixed Variable

In this paper mixed variable method is generalized to solve the problem of bending of the rectangular plate with one side is fixed (simple) on the edge simply supported and fixed half under the action of a uniformly distributed load. Gives the surface deflection equation and a chart, the chart can be directly applied to engineering practice.

scholarly journals Waste Identification in the Operation of Structural Engineering Companies (SEC) According to Lean Management

2021 ◽  
Vol 13 (8) ◽  
pp. 4249
Author(s):  
Felipe Muñoz-La Rivera ◽  
Juan Carlos Vielma ◽  
Rodrigo F. Herrera ◽  
Elisa Gallardo
Keyword(s):  
Structural Engineering ◽  
National Development ◽  
Computer Programs ◽  
Lean Management ◽  
Trial And Error ◽  
Refined Model ◽  
Error Process ◽  
Complex Process ◽  
Aec Industry

Although the architecture, engineering and construction (AEC) industry is highly relevant to national development, it suffers from significant productivity challenges. Beneath the design and documentation of structures, a dynamic, complex process is taking place, with constant modifications and feedback involving numerous professionals from different fields and their respective approaches and work developed using various computer programs. This diversity of factors converges within an iterative trial-and-error process and does not stop until a refined model is achieved. To understand traditional structural engineering companies (SECs) in Chile involved in building private procurement projects, 25 non-value-adding SEC activities were identified and classified according to typical lean management waste categories. These were initially validated by a panel of experts and then confirmed through a survey of 37 companies. The identified activities reduce the productivity of SEC organizations, contributing to low AEC industry indicators.

Large Deflection of a Rectangular Plate Resting on a Pasternak-Type Elastic Foundation

1977 ◽  
Vol 44 (3) ◽  
pp. 509-511 ◽  
Author(s):  
P. K. Ghosh
Keyword(s):  
Rectangular Plate ◽  
Elastic Foundation ◽  
Large Deflection ◽  
Lateral Load ◽  
Bending Moments ◽  
Shear Forces ◽  
Simply Supported ◽  
Base Parameters ◽  
Square Plate

The problem of large deflection of a rectangular plate resting on a Pasternak-type foundation and subjected to a uniform lateral load has been investigated by utilizing the linearized equation of plates due to H. M. Berger. The solutions derived and based on the effect of the two base parameters have been carried to practical conclusions by presenting graphs for bending moments and shear forces for a square plate with all edges simply supported.

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