Related Resources: calculators
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.
|
Rectangular plate; one edge fixed,
opposite edge free, remaining edges simply supported.  |
Uniformly decreasing
from fixed edge to zero at 2/3 b.  |
Stress and Reaction Force at center of fixed edge:
 |
and | R = γ1w |
Stress and Reaction Force at center of free edge:
 |
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
Link to this Webpage:
© Copyright 2000 -
2024, by Engineers Edge, LLC
www.engineersedge.com
All rights reserved
Disclaimer |
Feedback
Advertising
| Contact
