 Plate Calculator Formula Home Plate Theory Classical Plate Eqn. Sign Convention Plate Calculators Calculator List Plate Case Study Material Data Elastic Moduli Resources Bibliography  Login   Home Membership Magazines Forum Search Member Calculators  Materials  Design  Processes  Units  Formulas  Math This calculator computes the maximum displacement and stress of a clamped (fixed) rectangular plate under a triangular load. Inputs
Geometry:
 Width Lx = km m cm mm micron mi yd ft in mil Length Ly = Thickness h = km m cm mm micron mi yd ft in mil
Material
 Young's modulus E = Pa kPa MPa GPa psi ksi lbf/ft^2 kgf/cm^2 atm bar mmHg inHg ftH2O Poisson's ratio = 0.3
Output:
 Unit of displacement w = km m cm mm micron mi yd ft in mil Unit of stress = Pa kPa MPa GPa psi ksi lbf/ft^2 kgf/cm^2 atm bar mmHg inHg ftH2O

Displacement  where values of c1 are listed in the following table.

 Lx/Ly 0.6 0.8 1 1.2 1.4 1.6 1.8 2 c1 0.0016 0.0047 0.0074 0.0097 0.0113 0.0126 0.0133 0.0136

Hence, wmax = 0.00289831912879 mm 0.00290 mm

The formula is valid for most commonly used metal materials that have Poission's ratios around 0.3. In fact, the Poisson's ratio has a very limited effect on the displacement and the above calculation normally gives a very good approximation for most practical cases. The coefficient c1 is calculated by polynomial least-square curve-fitting. Stress  where values of c2 are listed in the following table.

 Lx/Ly 0.6 0.8 1 1.2 1.4 1.6 1.8 2 c2 0.1304 0.1436 0.1686 0.18 0.1845 0.1874 0.1902 0.1908

Hence, max = 0.105699945887 MPa 0.106 MPa

The formula is valid for most commonly used metal materials that have Poission's ratios around 0.3. The coefficient c2 is calculated by the polynomial least-square curve-fitting. Home  Membership  About Us  Privacy  Disclaimer  Contact  Advertise Copyright © 2019 eFunda, Inc.