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Plate line load Applied Stress and Deflection Equation and Calculator

Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading distributed line load w lb/in along free edge 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 distributed line load w lb/in along free edge.

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 and Reaction Force at center of fixed edge:

Stress Maximum and R = γ1w

Stress and Reaction Force at center of free edge:

Stress Maximum and R = γ2w

Symbols used:
w = Applied Line Load or Force to Flat Area of Plate (lbs/in2)
v = Poisson’s ratio (assumed to be 0.2)
t = plate thickness, ( in)
a = plate length, ( in)
b = plate width, (in)
σ = stress, (lbs/in2)
R = Reaction force per unit length (lbs/in) normal to the plate surface exerted by the boundary support on the edge of the plate.
β1,2 = Constant From Table A
γ1,2 = Constant From Table A

Table A

a/b
0.25
0.50
0.75
1.0
1.5
2.0
3.0
β1
0.000
0.024
0.188
0.570
1.726
2.899
4.508
β2
0.321
0.780
1.204
1.554
1.868
1.747
1.120
γ1
0.000
0.028
0.160
0.371
0.774
1.004
1.119
γ2
1.236
2.381
3.458
4.510
6.416
7.772
9.031

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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