Plate Formulas

Plate configurationPlate formulas may be used to determine the deflection, shear and bending moment in a plate based on the applied loading and boundary conditions.

Reference Documents:

  1. Anisotropic Plates, Lekhnitskii, Gordon & Breach
  2. Formulas for Stress and Strain, Roark & Young, McGraw-Hill
  3. Formulas for Stress, Strain, and Structural Matrices, Pilkey, John Wiley & Sons.
  4. Moments and Reactions of Rectangular Plates, Engineering Monograph #27, Moody, U.S. Department of the Interior (Available from NTIS).
  5. Rectangular Concrete Tanks, Portland Cement Association
  6. Theory of Plates and Shells, Timoshenko & Woinowsky, McGraw-Hill

Common Plate Formulas:


common plate formulas

PIN-SUPPORTED PLATE
WITH UNIFORM LOAD

Legend:

q = pressure
E = modulus of elasticity
t = thickness
d = deflection
M = moment / unit width
V = Shear / unit width

 

 

Y / X

1.00

1.25

1.50

1.75

2.00

3.00

4.00

¥

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

C3

0.04789

0.05026

0.04984

0.04825

0.04635

0.04063

0.03841

0.00000

C4

0.41842

0.46035

0.48359

0.49562

0.50128

0.50263

0.49969

0.50000

C5

0.41843

0.36509

0.31771

0.27817

0.24587

0.16492

0.12326

0.00000