Table 3: Comparison of normalized central deflections, , 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

5

21.86693

21.867

(0)*

21.867

(0) *

21.75385

(0.5171) ǂ

 

21.716

(0.1740)*

(0.6959) ǂ

20.225

(7.0280)*

(7.5134) ǂ

Minor membrane action; no restraint effect

10

10.89951

10.899

(0)*

10.899

(0) *

10.79020

(1.002 ) ǂ

 

10.752

(0.3540)*

(1.3700) ǂ

9.388

(12.9951)*

(13.8774)ǂ

Moderate membrane action; no restraint effect

20

 

7.75964

 

7.759

(0) *

 

7.759

(0) *

 

7.54655

(2.7461)ǂ

 

7.471

(1.0011)*

(3.800)ǂ

5.310

(29.6367)*

(31.5869)ǂ

Reasonably high membrane action; no restraint effect

50

 

6.83805

 

6.838

(0) *

 

6.838

(0) *

 

5.92920

(13.2911 )ǂ

 

5.640

(4.8776)*

(17.9789)ǂ

1.844

(68.8997)*

(73.0490)ǂ

Very high membrane action; no restraint effect

100

 

6.70469

 

6.705

(0)*

 

6.705

(0)*

 

4.21164

(37.1836)ǂ

 

3.642

(13.5254)*

(46.8757)ǂ

0.498

(88.1756)*

(92.5798)ǂ

Very high membrane action; no restraint effect

%Difference EdgeRestraint = SSxSS1 SS1 100, x=3,4;

%Difference Curvature = Shel l x Plat e x Plat e x 100, x=1,3,4.