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Flat Rectangular Plate; Three Edges Simply Supported With Uniformly increasing along the a side Equation and Calculator

Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniformly increasing along the a side 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
2.5
3.0
3.5
4.0
β
0.11
0.16
0.20
0.28
0.32
0.35
0.36
0.37
0.37
α
0.026
0.033
0.040
0.050
0.058
0.064
0.067
0.069
0.070

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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