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Experimental Mechanics

, Volume 8, Issue 4, pp 188–192 | Cite as

Determination of elastic moments in flat-plate and lift-slab structures by the moiré method

Test results found to be in close agreement with theoretical solutions based on complex variable theory
  • K. K. Gupta
  • R. C. Vaughan
Article
  • 68 Downloads

Abstract

The paper presents details of an experimental investigation carried out to determine deflections and bending moments in continuous flat-plate and lift-slab structures under various loading combinations, using the moiré method. A suitable computational method was adopted to compute accurately deflections and moments from the moiré photographs, which thus replaced the usual graphical procedure.

Keywords

Mechanical Engineer Fluid Dynamics Experimental Investigation Graphical Procedure Elastic Moment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

{a}

vector of coefficients of least-squares poly-nomial curve fitting the experimental points

a,b,c,d,e,f

blockout-hole dimensions in model collars

c1,c2

column-side dimensions

c01,c02

collar-side dimensions

D

plate rigidity

{F}

vector ofy-coordinates of polynomial curve

Kx,Ky

bending-moment factors inx andy directions

l1,l2,l3,l4

slab-panel dimensions

Mx,My

bending moments inx andy directions

Mxy

twisting moment

Mr,Mθ

radial and tangential bending moments

μ

Poisson's ratio

n

number of experimental points connected by polynomial curve

P1,P2,P3

points on the plate surface

q

uniformly distributed load acting on the plate surface

r

degree of least-squares polynomial curve

w

deflection of plate surface

[X]

matrix of ordern×r leading from normal equations

x,y

Cartesian coordinates of points on plate surface

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References

  1. 1.
    Ligtenburg, F.K., “The Moiré Method, a New Experimental Method for the Determination of Moments in Small Slab Models,”Proc. Soc. Exp. Stress Anal.,XII (2),83–98 (1954).Google Scholar
  2. 2.
    Vreedenberg, C.G.J., andVan Wijngaarden, H., “New Progress in Our Knowledge About the Moment Distribution in Flat Slabs by Means of the Moiré Method,”Proc. Soc. Exp. Stress Anal.,XII (2),99–114 (1954).Google Scholar
  3. 3.
    Bradley, W. A., “The Determination of Moments and Deflections in Plates by the Moiré Method and by Finite Differences with Application to the Square Clamped Plate with Square Cut Outs,” Doctoral thesis, University of Michigan, 1956.Google Scholar
  4. 4.
    Gupta, K. K., “Distribution of Elastic Moments in Flat Slabs with Particular Reference to Lift Slab Structures,” Doctoral thesis, London University, July 1965.Google Scholar
  5. 5.
    Gupta, K. K., andVaughan, R. C., “Bending of Uniformly Loaded Column-supported Flat Plates,”Jnl. Strain Anal.,2,109 (1967).Google Scholar
  6. 6.
    “Structural Models in Perspex,” Cement and Concrete Association Publication DN/30, 1963.Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1968

Authors and Affiliations

  • K. K. Gupta
    • 1
  • R. C. Vaughan
    • 2
  1. 1.Mathematics DivisionNational Physical LaboratoryTeddington
  2. 2.Department of Civil EngineeringUniversity of SurreyEngland

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