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Loading Uniformly decreasing to zero at 2/3b Stress and Deflection Equation and Calculator
Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 2/3b Stress and Deflection Equation and Calculator.
Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness
Flat Rectangular plate, Three Edges Fixed, One Edge Loading Uniformly decreasing from fixed edge to zero at 2/3b
|
Rectangular plate;
Three Edges Fixed  |
Loading Uniformly decreasing
from fixed edge to zero at 2/3b  |
At x = 0, z = 0
Stress and Reaction Force
Reaction Force
Stress and Reaction Force at x = ± a/2, z = 0.4b if a ≥ b or z = 0.2b if a < b
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
|
.25
|
0.50
|
0.75
|
1.0
|
1.5
|
2.0
|
3.0
|
|
β1
|
0.017
|
0.056
|
0.095
|
0.140
|
0.201
|
0.228
|
0.241
|
|
β2
|
0.019
|
0.050
|
0.068
|
0.098
|
0.106
|
0.097
|
0.074
|
|
γ1
|
0.101
|
0.177
|
0.227
|
0.262
|
0.294
|
0.301
|
0.301
|
|
γ2
|
0.082
|
0.129
|
0.146
|
0.157
|
0.165
|
0.162
|
0.158
|
Reference:
Roarks Formulas for Stress and Strain, 7th Edition
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