Plate Loading Uniformly Decreasing from Fixed Edge to Zero at 2/3 b Stress and Deflection Equation and Calculator

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Plate Loading Uniformly Decreasing from Fixed Edge to Zero at 2/3 b Stress and Deflection Equation and Calculator

Strength of Materials
Beam Stress Deflection

Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 2/3 b Stress and Deflection Equation and Calculator.

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

Rectangular plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 2/3 b.

Preview: Flat Rectangular Plate Uniform Force over Entire Plate Two Long Edges Fixed, Two Short Edges Simply Supported Calculator

Rectangular plate; one edge fixed,
opposite edge free,
remaining edges simply supported.

Uniformly decreasing
from fixed edge
to zero at 2/3 b.

Stress Maximum at center of fixed edge:

and

R = γqb

Symbols used:
q = Applied Load or Force to Flat Area of Plate (N/m², lbs/²)
v = Poisson’s ratio (assumed to be 0.2)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
σ = stress, (N/m², lbs/in²)
R = Reaction force per unit length (N/m, lbs/in) normal to the plate surface exerted by the boundary support on the edge of the plate.
β = Constant From Table A
γ = Constant From Table A

Table A

a/b	0.25	0.50	0.75	1.0	1.5	2.0	3.0
β	0.033	0.094	0.146	0.200	0.272	0.339	0.400
γ	0.148	0.233	0.277	0.304	0.330	0.339	0.340

Reference:

Roarks Formulas for Stress and Strain, 7th Edition