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Plate formulas may be used to determine the
deflection, shear and bending moment in a plate based on the applied
loading and boundary conditions. |
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Reference Documents:
- Anisotropic Plates, Lekhnitskii, Gordon
& Breach
- Formulas for Stress and Strain, Roark & Young, McGraw-Hill
- Formulas for Stress, Strain, and Structural Matrices, Pilkey, John
Wiley & Sons.
-
Moments
and Reactions of Rectangular Plates, Engineering Monograph #27, Moody, U.S.
Department of the Interior (Available from NTIS).
- Rectangular Concrete Tanks, Portland Cement Association
- Theory of Plates and Shells, Timoshenko & Woinowsky, McGraw-Hill
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Common Plate Formulas:
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PIN-SUPPORTED
PLATE WITH UNIFORM LOAD
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Legend:
q = pressure
E = modulus of elasticity
t = thickness
d = deflection
M =
moment / unit width
V = Shear / unit width
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Y / X
|
1.00
|
1.25
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1.50
|
1.75
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2.00
|
3.00
|
4.00
|
¥
|
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C1
|
0.04436
|
0.06581
|
0.08350
|
0.09919
|
0.11060
|
0.13358
|
0.13998
|
0.14219
|
|
C2
|
0.04789
|
0.06610
|
0.08116
|
0.09287
|
0.10168
|
0.11886
|
0.12346
|
0.12500
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C3
|
0.04789
|
0.05026
|
0.04984
|
0.04825
|
0.04635
|
0.04063
|
0.03841
|
0.00000
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C4
|
0.41842
|
0.46035
|
0.48359
|
0.49562
|
0.50128
|
0.50263
|
0.49969
|
0.50000
|
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C5
|
0.41843
|
0.36509
|
0.31771
|
0.27817
|
0.24587
|
0.16492
|
0.12326
|
0.00000
|
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