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loading Uniformly decreasing to 1/3 b Deflection Equation and Calculator. Per. Roarks Formulas

Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 1/3 b Stress and Deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain 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 1/3 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.
Rectangular plate; one edge fixed, opposite edge free,
 
Uniformly decreasing
from fixed edge
to zero at 2/3 b.
Uniformly decreasingfrom fixed edge to zero at 2/3 b.

Stress Maximum at center of fixed edge:

Stress Maximum 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
0.023
0.048
0.061
0.073
0.088
0.097
0.105
γ
0.115
0.149
0.159
0.164
0.167
0.168
0.168

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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