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Load Uniformly Decreasing Flat Rectangular Plate Equation and Calculator

Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = b Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness

Flat Rectangular plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = b.

Preview: Flat Rectangular Plate, Two Edges Fixed, One Edge Free Load Uniformly Decreasing from z = 0 to z = b Stress and Reaction Loading Calculator

Rectangular plate;
Two Edges Fixed
Two Edges Free
Flat Rectangular Plate, Two Edges Fixed, Two Edges Free
 
Load Uniformly
Decreasing from
z = 0 to z = b
Load Uniformly Decreasing from z = 0 to z = b

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

Stress and Reaction Force at x = 0, z = b if a = b, or Z = 0.6b if b/2 ≤ a < b. or z = 0.4b if a < b/2
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
.125
0.25
0.375
0.5
0.75
1.0
β1
0.043
0.133
0.212
0.328
0.537
0.695
β2
0.028
0.090
0.148
0.200
0.276
0.397
γ1
0.271
0.423
0.419
0.483
0.551
0.559
γ2
0.076
0.151
0.205
0.195
0.230
0.192

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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