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Two Edges Fixed Two Edges Free Loading Uniform over Entire Plate Equation and Calculator

Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Loading Uniform over Entire Plate Equation and Calculator.

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

Flat Rectangular plate, Two Edges Fixed, Two Edges Free Loading Uniform over Entire Plate.

Preview: Flat Rectangular Plate, Two Edges Fixed, One Edge Free Loading Uniform over Entire Plate Stress and Reaction Loading Calculator

Rectangular plate;
Two Edges Fixed
Two Edges Free
Flat Rectangular Plate, Two Edges Fixed, Two Edges Free

At x = 0, z = 0
Stress and Reaction Force
Stress
Reaction Force
Reaction Force

Stress and Reaction Force at x = 0, z = b if a > b/2 or a = 0.8b if ≤ b/2
Reaction Force

Reaction Force

Where used:
E = Modulus of Elasticity (lbs/in2)
q = Total load or force to Plate (lbs/in2)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (in)
a = plate length, (in)
b = plate width, (in)
σb = stress, (lbs/in2)
R = Reaction Force (lbs/in)
β1,2 = Constant From Table A
γ1,2 = Constant From Table A

Table A

a/b
.125
0.25
0.375
0.5
0.75
1.0
β1
0.050
0.182
0.353
0.631
1.246
1.769
β2
0.047
0.188
0.398
0.632
1.186
1.769
γ1
0.312
0.572
0.671
0.874
1.129
1.183
γ2
0.127
0.264
0.413
0.557
0.829
1.183

Reference:

Roarks Formulas for Stress and Strain, 7th Edition