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Loading Uniformly decreasing from fixed edge to simply supported edge Stress and Deflection Equatio

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to simply supported edge 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 Load Uniformly Decreasing from Fixed Edge to Simply Supported Edge Plate

Preview: Flat Rectangular Plate, Three Edges Fixed, One Edge Load Uniformly Decreasing from Fixed Edge to Simply Supported Edge Plate Stress and Deflection Calculator

Rectangular plate;
Three Edges Fixed
Rectangular plate; one edge fixed, opposite edge free,
 
Load uniformly decreasing from fixed
edge to simply supported edge
Uniform Loading over 1/3

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

Stress at x = ±a/2, z = 0.4b
Stress
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
0.192
0.303
0.356
0.382
β2
0.019
0.068
0.124
0.161
0.181
0.168
0.132
γ1
0.106
0.195
0.265
0.323
0.383
0.399
0.400
γ2
0.075
0.152
0.212
0.245
0.262
0.258
0.250

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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