STRESS CONCENTRATION IN PLATES WITH REINFORCED CUTOUTS

INTRODUCTION STATEMENT OF THE PROBLEM

PARAMETERS

METHOD OF ANALYSIS

RESULTS

STATEMENT OF THE PROBLEM

PARAMETERS

DETAILS PARAMETERS STUDIED

Type

of

loading

series Axis ratio of elliptical cutout

Reinforcement pattern (above figure) Total number of cases solved

series R/r series Tmax/T

Normal Traction

1 1.00

1.1 1.33

1.1.1

1.1.2

1.1.3

1.1.4

1.50

2.00

2.50

3.00

120

1.2

1.3

1.4

1.5

1.6

1.50

1.75

2.00

2.50

3.00

For all cases Tmax/t varies as per series1.1

2

3

4

5

1.20

1.33

1.50

2.00

For all cases the variations of R/r and Tmax/t as per series 1

”

”

”

Contd……

Shear loading`

6 1.00 All cases as per series 1 except R/r = 3.00

807 1.20 ”

8 1.33 ”

9 1.50 ”

PLATE WITH A CIRCULAR CUTOUT UNDER COMBINED

LOADING

METHOD OF ANALYSIS

F.E.M is adopted (C.S.T Element)

Symmetry :

Quarter plate of size 120*120*2.5 is analysed

SCF(K)=1+2(a/b) normal traction

SCF(K)=2(1+a/b) shear loading

To check F.E.M model

F.E.M solution agree with theoretical results

S

C

F

a/b

SCF Vs Tmax/T(various R/r)

Shear loading; SCF decreases as Tmax/T increases

SCF Vs Re

1. Normal traction.

2. Shear loading.

Used as charts

COMBINED INPLANE LOADING.

Structural components with cut-out Complex loading.

( max)A= 6.929

Re=1/Vo ^n) dv Where

Vo = volume of plate removed for cutout

V = volume of plate in the reinforced region

R = equivalent radius.

N = 4.5

CONCLUSIONS

S.C in elastic plates

Reinforcement provide in a single parameter(Re) related to S.C.F in all cases of loading

Reinforcement-highly effective-Re<25%

Marginal effective Re>50% can be used as charts

Re<25% R/r=2.0

25%<Re<50% R/r=3.0

Re>50% Theoretical /Experimental analysis carried out

PUBLICATIONS1. Study on Fludity of Flyash based cement

slurry for SIFCON- Aroona Arumugam,Arumugam.E. A paper sent to I.C.J

2. Development of materials for SIFCON –Aroona Arumugam, Arumugam.E Seminar on Tamilnadu state council for science & Technology, Nagercoil, July 2000

3. Health monitory of Reinforced Concrete structures Distressed by corrosion –Jagadeesan.K, Santhakumar.A.R, Arumugam.E International conference in civil engineering, Mumbai November 2000

Contd……4. Effect of rice husk ash in

cement mortar – Shantharam.J,Arumugam.E. A paper sent to ADCONST 2003,Annamalai University

5. Report on polymer modified concrete-Subramanium.S, Arumugam.E. A paper sent to ADCONST 2003,Annamalai University