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Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Uniform Loading over Plate from z = 0 to z = (1/3) 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 Uniform Loading over Plate from z = 0 to z = (1/3) b.

 Rectangular plate; Two Edges Fixed Two Edges Free Uniform Loading over plate from z = 0 to z = (1/3) b

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

Reaction Force

Stress and Reaction Force at x = 0, z = 0.4b if a > b/2 or z = 0.2b if a ≤ b/2

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 0.125 0.25 0.375 0.5 0.75 1 β1 0.034 0.099 0.143 0.186 0.241 0.274 β2 0.034 0.068 0.081 0.079 0.085 0.081 γ1 0.222 0.311 0.335 0.343 0.349 0.347 γ2 0.109 0.162 0.18 0.117 0.109 0.105

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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