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One Edge (a) Free Loading Uniform over 2/3 of Plate Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 2/3 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 2/3 of Plate from Fixed Edge.

 Rectangular plate; Three Edges Fixed One Edge Free Loading Uniform over 2/3 of Plate from Fixed Edge

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

Reaction Force

Stress and Reaction Force at x = ± a/2, z = 0.6b for a > b of z = 0.4b for a ≤ b

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 0.25 0.5 0.75 1 1.5 2 3 β1 0.02 0.08 0.164 0.277 0.501 0.71 1.031 β2 0.031 0.11 0.198 0.26 0.37 0.433 0.455 γ1 0.115 0.23 0.334 0.424 0.544 0.615 0.674 γ2 0.125 0.25 0.344 0.394 0.399 0.409 0.393

Reference:

Roarks Formulas for Stress and Strain, 7th Edition