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A very simple set of calculations to establish the maximum stress and deflection in flat plates under a variety of support and loading condtions. The calculations allow very convenient initial estimates of plates strengths to be carried out. (14 plate arrangements are included)
Purpose of Calculation
Calculation of maximum stress and deflection in thin plates under a variety of support and loading conditions
Roymech.co.uk. http://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html
Calculation Validation
The various calculations have been checked against other methods of calculating the values (see my webpage)
Introduction
This page includes simple formula for the calculation of the maximum stress and deflection for thin flat plates under a variety of support and loading conditons.
The equations are only valid if the deflection is small compared to the plate thickness.equations are also only reasonably accurate if the thickness is less than 10% of the diameter.
The loading scenario for the simply supported rectangular plates assume that the upper edges of the loaded surface are restrained from lifting such that all of the edges are in contact during the the loading condition.
List Of Calcs
1) Circular Plate ,Simply supported under uniform distributed load p
2) Circular Plate ,Clamped under uniform distributed load p
3) Circular Plate ,Simply Supported under central Force P
4) Circular Plate ,Clamped under central Force P
5) Rectangular Plate , Simply supported, Uniform Load .
6) Rectangular Plate , Clamped, Uniform Load .
7) Rectangular Plate , Simply supported, Concentrate load over small area
8) Rectangular Plate , Clamped, Concentrate load over small area
9) Circular Plate with Central Hole , Simply supported,Central Load
10) Circular Plate with Central Hole , Simply supported, Uniform Load Over Plate
11) Circular Plate with Central Hole , Clamped, Uniform Load Over Plate
12) Circular Plate with Central Hole ,Outer Edge Clampld, Uniform Load Over Plate
Calculation Reference
Mechanical Engineers Data Handbook Carvill Butterworth Hieneman
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Roarks Formulas for stress and strain
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Formulas for Stress, Strain, and Structural Matrice
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