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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

Preview: Flat Rectangular Plate, Three Edges Fixed, One Edge Free Loading Decreasing Stress and Reaction Loading Calculator

Rectangular plate;
Three Edges Fixed
One Edge Free
Rectangular plate; one edge fixed, opposite edge free,
 
Loading Uniformly
decreasing from fixed
edge to zero at 1/3 b
Loading Uniformly decreasing

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

Stress and Reaction Force at x = 0, z = b
Stress and Reaction Force

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
.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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