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Loading Uniformly Decreasing to 1/3b Stress and Deflection Equation and Calculator.
Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 1/3 b Stress and Reaction Loading Equation and Calculator.
Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness
|
Rectangular plate;
Three Edges Fixed One Edge Free  |
Loading Uniformly
decreasing from fixed edge to zero at 1/3 b  |
At x = 0, z = 0
Stress and Reaction Force
Reaction Force
Stress and Reaction Force at x = 0, z = 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
|
0.014
|
0.035
|
0.047
|
0.061
|
0.075
|
0.080
|
0.082
|
|
β2
|
0.010
|
0.024
|
0.031
|
0.030
|
0.025
|
0.020
|
0.013
|
|
γ1
|
0.088
|
0.130
|
0.146
|
0.155
|
0.161
|
0.162
|
0.162
|
|
γ2
|
0.046
|
0.069
|
0.079
|
0.077
|
0.074
|
0.074
|
0.082
|
Reference:
Roarks Formulas for Stress and Strain, 7th Edition
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