engineering fundamentals Plate Calculator
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This calculator computes the maximum stress of a free on one edge, clamped on three edges rectangular plate under a uniformly distributed load.

Inputs
Loading: 
 Uniform Load p =    
 Geometry: 
 Width Lx =    
 Length Ly =  
 Thickness h =    
Boundary  Free edge along x axis
 Free edge along y axis
 Material
 Young's modulus E =    
 Poisson's ratio nu =  
Output: 
 Unit of displacement w =  
 Unit of stress =  

 

 

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Stress

Notice that the maximum stress is expressed in terms of the length of the clamped edges that are adjacent to the free edge and the values of c2 are listed in the following table.

LFree Edge/LCC Edge 0.25 0.5 0.75 1.0 1.5 2.0 3.0
c2  0.020  0.081  0.173  0.321  0.727  1.226  2.105

Hence, max = 0.202474389384 MPa ~ 0.202 MPa

The formula is valid for materials that have Poission's ratios around 0.3. The coefficient c2 is calculated by polynomial least-square curve-fitting.  

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