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Uniform Loading over 1/3 of plate Stress and Deflection Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 1/3 of plate from fixed edge 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 Uniform Loading over 1/3 of Plate

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

Rectangular plate; Three Edges Fixed

Uniform Loading over 1/3 of plate from fixed edge

At x = 0, z = 0
Stress

Reaction Force

Stress at x = 0, z = 0.2b

and

At x = 0, z = b
Reaction Force

At x = ± a/2, z = 0.2b
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	0.068	0.108	0.148	0.194	0.213	0.222
β2	0.005	0.026	0.044	0.050	0.047	0.041	0.037
β3	0.013	0.028	0.031	0.026	0.016	0.011	0.008
β4	0.026	0.063	0.079	0.079	0.068	0.056	0.037
γ1	0.114	0.210	0.261	0.290	0.312	0.316	0.316
γ2	0.000	0.000	0.004	0.011	0.020	0.021	0.020
γ3	0.111	0.170	0.190	0.185	0.176	0.175	0.190

Reference:

Roarks Formulas for Stress and Strain, 7th Edition