Flat Plate Deflection Calculator

Flat Plate Deflection Calculator

Assumptions:

  1. The plate is flat, of uniform thickness, and of homogeneous isotropic material;
  2. the thickness is not more than about onequarterof the least transverse dimension, and the maximum deflection
    is not more than about one-half the thickness;
  3. all forces—loadsand reactions—are normal to the plane of the plate; and
  4. the plate is nowhere stressed beyond the elastic limit. For convenience in discussion, it will be assumed further that the plane of the plate is horizontal.Beams of Uniform Cross Section, Loaded Transversely

Behavior.

The plate deflects. The middle surface (halfway between top and bottom surfaces) remains unstressed; at other points there are biaxial stresses in the plane of the plate. Straight lines in the plate that were originally vertical remain straight but become inclined; therefore the intensity of either principal stress at points on any such line is proportional to the distance from the middle surface.

Flat Plate

Variables Description Input Data
Length a (mm) = inches
Width, b (mm) =
Thickness, t (mm) =
Modulus of elasticity, E (N/mm2) = psi
Poisson ratio, v = -
Uniform over small concentric circle of ro, qo (N/mm2) = psi
Load application radius, ro (mm) inches
Results
Total area mm2 = in2
a/b, aob = -
Uniform loading pressure over entire plate, q (N/mm2) = psi
Total load applied to the plate, W (N) = lbs
Outer radius used in calculation, ro_prime (mm) = in2
Total load applied to center of plate, Wo (N) = lbs
Simply Supported Outer Boundary:
Distributed Load:
Center displacement, dc (mm) = inches
Bending stress at center (N/mm2) = psi
Reaction load at center of long side (N/mm) = lbs/in
Centrally Applied Concentrated Load:
Center displacement, fdc (mm) = inches
Bending stress at center (N/mm2)= psi
References: Roark & Young, Formulas for Stress and Strain, 5th eddition, page 386
Contribute Article Spider Optimizer

© Copyright 2000 - 2017, by Engineers Edge, LLC www.engineersedge.com
All rights reserved
Disclaimer | Feedback | Advertising | Contact

Spider Optimizer

Home
Engineering Book Store
Engineering Forum
Excel App. Downloads
Online Books & Manuals
Engineering News
Engineering Videos
Engineering Calculators
Engineering Toolbox
Engineering Jobs
GD&T Training Geometric Dimensioning Tolerancing
DFM DFA Training
Training Online Engineering
Advertising Center


Copyright Notice

Publishing Program