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Polygonal Plate All Edges Fixed Stress and Deflection Equation and Calculator

Regular polygonal plate; all edges fixed with uniform loading over entire plate Stress and Deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness

Preview: Regular polygonal plate; all edges fixed with uniform loading over entire plate Stress and Deflection Calculator

Regular Polygonal Plate
Uniform Loading
over entire plate


Stress at center

Deflection at the center

Stress at center of straight edge

n
3
4
5
6
7
8
9
10
β1
0.589
0.550
0.530
0.518
0.511
0.506
0.503
0.500
0.4875
β2
1.423
1.232
1.132
1.068
1.023
0.990
0.964
0.944
0.750
α
0.264
0.221
0.203
0.194
0.188
0.184
0.182
0.180
0.171

Where:

q = Applied load (force) (lbs/in2)
v = Poisson’s ratio (assumed to be 0.3)
E = Modulus of Elasticity (lb/in2)
a = Radius of tangent circle (in)
t = Plate thickness (in)
σ = stress, (lbs/in2)
n = number of sides
β = Constant from table
α = Constant from table

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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