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Uniform over 1/3 of Plate from Fixed Edge Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 1/3 of Plate from Fixed 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 Uniform over 1/3 of Plate from Fixed Edge.

Preview: Flat Rectangular Plate, Three Edges Fixed, One Edge Free Loading Uniform over 1/3 of Plate from Fixed Edge Stress and Reaction Loading Calculator

Rectangular plate;
Three Edges Fixed
One Edge Free
Rectangular plate; one edge fixed, opposite edge free,
 
Loading Uniform over
1/3 of Plate from
Fixed Edge

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

Stress and Reaction Force at x = ± a/2, z = 0.2b
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
0.020
0.068
0.110
0.148
0.202
0.240
0.290
β2
0.026
0.063
0.084
0.079
0.068
0.057
0.040
γ1
0.115
0.210
0.257
0.291
0.316
0.327
0.335
γ2
0.111
0.170
0.194
0.185
0.174
0.170
0.180

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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