AnalysisPlate_Rectangular.xlsTo determine deflection of a simply supported rectangular plateBy Alex Slocum, 01/01/04, last modified 09/21/04 by Xue'en YangEnters numbers in BOLD, Results in REDSchematicPlate dimensions and propertiesValuesProE SimulationLength a (mm)300300Width, b (mm)200200Thickness, t (mm)1.51.5Modulus of elasticity, E (N/mm^2)200000200000Poisson ratio, v0.290.29Total area60000a/b, aob1.50LoadingUniform loading pressure over entire plate, q (N/mm^2)0.000170.00017Total load applied to the plate, W (N)10Uniform over small concentric circle of ro, qo (N/mm^2)1010Load application radius, ro (mm)22Outer radius used in calculation, ro_prime (mm)2Total load applied to center of plate, Wo (N)126Simply supported outer boundary:Distributed load:Center displacement, dc (mm)-0.033-0.032Bending stress at center (N/mm^2)1Reaction load at center of long side (N/mm)0Centrally applied concentrated load:Center displacement, fdc (mm)-1.248-1.247Bending stress at center (N/mm^2)189From Roark & Young, Formulas for Stress and Strain, 5th eddition, page 386

DataInterpolated parameters from curves:Uniform loadingsalpha0.08409375sbeta0.4869375sgamma0.48365625Central loadingfalpha0.1676125fbeta0.83731875Uniform load over entire platea/b11.21.41.61.82345beta0.28740.37620.4530.51720.56880.61020.71340.7410.7476alpha0.04440.06160.0770.09060.10170.1110.13350.140.1417gamma0.420.4550.4780.4910.4990.5030.5050.5020.501Central load over small radiusa/b11.21.41.61.822.5beta0.4350.650.7890.8750.9270.9581alpha0.12670.14780.16210.17150.17770.18050.1851

Data

betaalphagammaa/bSimply supported rectangular plate with uniform loading

ProE Simulation0.4350.12670.650.14780.7890.16210.8750.17150.9270.17770.9580.180510.1851

betaalphaa/bSimply supported rectangular plate with central loading

Displacement along the length for uniform loadingDisplacement along the length for central loading

MBD001BE6DC.vsda

b

simply supported