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

Flat Rectangular Plate; Three Edges Simply Supported, one Edge Fixed 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

Rectangular plate; three edges simply supported, one short edge (b) fixed with Uniform loading over entire plate.

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
1
1.5
2.0
2.5
3.0
3.5
4.0
β
0.50
0.67
0.73
0.74
0.75
0.75
0.75
α
0.030
0.071
0.101
0.122
0.132
0.137
0.139

Reference:

Roarks Formulas for Stress and Strain, 7th Edition