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Loading Uniformly Decreasing Fixed Edge to Zero at free edge Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at free edge 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 free edge.

Preview: Flat Rectangular Plate, Three Edges Fixed, One Edge Free Loading Uniformly decreasing from fixed edge to zero at free edge 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 free edge
Loading Uniformly

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

Stress and Reaction Force at x = ± a/2, z = b if a > b or z = 0.4b if a < b
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
0.018
0.064
0.120
0.195
0.351
0.507
0.758
β2
0.019
0.068
0.125
0.166
0.244
0.387
0.514
γ1
0.106
0.195
0.265
0.324
0.406
0.458
0.505
γ2
0.075
0.151
0.211
0.242
0.106
0.199
0.313

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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