Comparison of normalized central deflections, , of antisymmetric [0/90] plates and spherical panels under uniform load for different a/h ratios.

Table 1: Comparison of normalized central deflections, , of antisymmetric [0/90] plates and spherical panels under uniform load for different a/h ratios.

Normalized central deflection, , of [0/90] panels under uniform load

a/h

R₁ = R₂

= ∞ (SS1) [100]

R₁ = R₂

= ∞ (SS3)

R₁ = R₂

= ∞ (SS4)

[100]

R₁/a = R₂/a = 10 (SS1)

[101]

R₁/a = R₂/a = 10 (SS3)

R₁/a = R₂/a = 10 (SS4)

Comments

25.78966

25.791

(0.0052)^*

25.410

(1.4721)^*

25.62255

(0.6480)^ǂ

25.594

(0.1114)^*

(0.7624 )ǂ

23.237

(9.3104^)*

(8.5601)^ǂ

Some membrane action, insignificant restraint effect

19.17171

19.173

(0.0067)^*

18.793

(1.9754)^*

18.81966

(1.8363 )^ǂ

18.744

(0.4020)^*

(2.2326 )ǂ

14.881

(20.9284)^*

(20.8299 )ǂ

Reasonably high membrane action,

insignificant restraint effect

17.50887

17.509

(0)^*

17.138

(2.1182)^*

16.44626

(6.0690 )ǂ

16.164

(1.7163)^*

(7.6848)ǂ

8.836

(46.2735)^*

(48.4629)ǂ

High membrane action, insignificant restraint effect

17.04309

17.043

(0)^*

16.676

(2.1539)^*

12.38411

(27.3365)ǂ

11.296

(8.7863)^*

(33.7216)ǂ

2.446

(80.2489)^*

(85.3421)ǂ

Very high membrane action, insignificant restraint effect

100

16.97656

16.977

(0)^*

16.609

(2.1651)^*

6.81361

(59.8646)ǂ

5.539

(18.707)^*

(67.3743)ǂ

0.651

(90.4456)^*

(96.0848)ǂ

Very high membrane action, insignificant restraint effect

% D i f f e r e n c e (E d g e Re s t r a int) = |\frac{S S x - S S 1}{S S 1}| 100, x = 3, 4

$% D i f f e r e n c e (C u r v a t u r e) = |\frac{S h e l l_{x} - P l a t e_{x}}{P l a t e_{x}}| 100, x = 1, 3, 4.$