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

Table 2: Comparison of normalized central moments, , of antisymmetric [0/90] plates and spherical panels under uniform load for different a/h ratios.

Normalized central moment, , 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

62.78491

62.827

(0.0670)^*

132.299

(110.718)^*

63.56002

(1.2345)ǂ

63.931

(0.5837)^*

(1.7569 )ǂ

143.630

(125.9754)^*

(8.5224)ǂ

Restraint effect

counters membrane action

62.81691

62.844

(0.0431)^*

136.066

(116.607)^*

64.207843

(2.2142 )ǂ

64.711

(0.7836)^*

(2.9722)ǂ

136.373

(112.3931)^*

(0.1742 )ǂ

Restraint effect

overcompensates membrane action

62.93736

62.951

(0.0217)^*

137.130

(117.883)^*

63.91770

(1.5576 )ǂ

64.257

(0.5308)^*

(2.0757 )ǂ

105.117

(64.4568)^*

(23.4045 )ǂ

Restraint effect

significantly trumps membrane action

62.98998

62.998

(0.0127)^*

137.451

(118.211)^*

53.58208

(14.9355)ǂ

52.081

(2.8015)^*

(17.3286) ǂ

45.353

(15.3579)^*

(67.0407 ) ǂ

Restraint effect very strongly trumps membrane action

100

62.99851

63.006

(0.0119)^*

137.498

(118.256)^*

31.15481

(50.5467)ǂ

29.524

(5.2345)^*

(53.1405)ǂ

19.719

(36.7064)^*

(85.6758)ǂ

Restraint effect strongly trumps membrane action

% 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, \begin{matrix} x = 3, 4; \end{matrix}

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