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Partial Uniform Loading over Plate Equation and Calculator

Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Uniform Loading over Plate from z = 0 to z = (2/3) b 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 Uniform Loading over Plate from z = 0 to z = (2/3) b.

Preview: Flat Rectangular Plate, Two Edges Fixed, One Edge FreeUniform Loading over Plate from z = 0 to z = (2/3) b Stress and Reaction Loading Calculator

Rectangular plate;
Two Edges Fixed
Two Edges Free
Flat Rectangular Plate, Two Edges Fixed, Two Edges Free
 
Uniform Loading over
plate from z = 0
to z = (2/3) b
Uniform Loading over Plate from z = 0 to z = (2/3) b

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

Stress and Reaction Force at x = 0, z = 0.6b if a > b/2 or z = 0.4b if a ≤ 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
0.173
0.297
0.465
0.758
0.963
β2
0.044
0.143
0.230
0.286
0.396
0.435
γ1
0.311
0.543
0.563
0.654
0.741
0.748
γ2
0.126
0.249
0.335
0.377
0.384
0.393

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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