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Three Edges Fixed, One Edge Simply Supported Plate Stress and Reaction Loading Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Over Entire Plate 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 Loading Over Entire Plate

Preview: Flat Rectangular Plate, Three Edges Fixed, One Edge Loading Over Entire Plate Stress and Deflection Calculator

Rectangular plate; Three Edges Fixed

At x = 0, z = 0
Stress

Reaction Force

Stress at x = 0, z = 0.6b

and

At x = 0, z = b
Reaction Force

At x = ± a/2, z = 0.6b
Stress

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)
σ_b = stress, (lbs/in²)
R = Reaction Force (lbs/in)
β_1,2,3,4 = Constant From Table A
γ_1,2,3 = Constant From Table A

Table A

a/b	.25	0.50	0.75	1.0	1.5	2.0	3.0
β1	0.020	0.081	0.173	0.307	0.539	0.657	0.718
β2	0.004	0.018	0.062	0.134	0.284	0.370	0.422
β3	0.016	0.061	0.118	0.158	0.164	0.135	0.097
β4	0.031	0.121	0.242	0.343	0.417	0.398	0.318
γ1	0.115	0.230	0.343	0.453	0.584	0.622	0.625
γ2	0.123	0.181	0.253	0.319	0.387	0.397	0.386
γ3	0.125	0.256	0.382	0.471	0.547	0.549	0.530

Reference:

Roarks Formulas for Stress and Strain, 7th Edition