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

Table 4: Comparison of normalized central moments, , of symmetric [0/90/0] plates and spherical panels under uniform load for different a/h ratios.

Normalized Central Moment, , of [0/90/0] 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

108.14906

108.149

(0)^*

108.149

(0)^*

107.57576

(0.5300)ǂ

107.396

(0.1671)^*

(0.6959)ǂ

100.127

(6.9242)^*

(7.4234)ǂ

Minor membrane action; no restraint effect

122.98436

122.984

(0) ^*

122.984

(0)^*

121.70166

(1.0429 )ǂ

121.299

(0.3309)^*

(1.3700 )ǂ

106.108

(12.8130)^*

(13.7328 )ǂ

Moderate membrane action; no restraint effect

128.09286

128.093

(0) ^*

128.093

(0)^*

124.36560

(2.9098 )ǂ

123.225

(0.9171)^*

(3.8005 )ǂ

88.086

(29.1717)^*

(31.2515 )ǂ

Reasonably high membrane action; no restraint effect

129.57057

129.570

(0) ^*

129.570

(0^*

111.13425

(14.2287 )ǂ

106.275

(4.3724)^*

( 17.9789)ǂ

35.956

(67.6463)^*

(72.2679 )ǂ

Very high membrane action; no restraint effect

100

129.77706

129.777

(0) ^*

129.777

(0) ^*

77.94251

(39.9412) ǂ

68.943

(11.5463)^*

( 46.8757) ǂ

10.920

(85.9897)^*

(91.5924 ) ǂ

Very high membrane action; no 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

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