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Flat Rectangular Plate Three Edges Simply Supported Stress and Deflection Equations and Calculator

Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniform Force over Entire Plate Equation and Calculator.

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

Preview: Flat Rectangular Plate Uniform Force over Entire Plate Three Edges Simply Supported Calculator

Flat Rectangular Plate Stress and Deflection Increasing Loading Along Length Calculator

Stress Maximum:
Stress Maximum

Deflection:
Deflection

Symbols used:
E = Modulus of Elasticity (N/m2, lbs/2)
q = Applied Load or Force to Flat Area of Plate (N/m2, lbs/2)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
σ max = maximum stress, (N/m2, lbs/in2)
ymax = Maximum deflection (m, in)
α = From Table A
β = From Table A

Table A

a/b
0.50
0.667
1.0
1.5
2.0
4.0
β
0.36
0.45
0.67
0.77
0.79
0.80
α
0.080
0.106
0.140
0.160
0.165
0.167

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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