Table 5: Comparison of Normalized Central Deflections, , of Symmetric [0/90/0] Plates for Different a/h Ratios, computed using three shear deformation theories and the CLT.

Normalized Central Deflection, , of [0/90/0] Plates under Uniform Load

Boundary Condition

 

a/h

 

LCST (Zig-Zag)

FEA [111]

TSDT

 [93-100]

FSDT

[72,111]

CLT

[60,72,111]

Degree of Shear Flexibility (Zig-Zag vs. TSDT)

 SS1 [100,72]

4

 

22.228

20.226

6.705

Zig-Zag theory yields much greater shear-flexibility than TSDT (344.295% vs. 231.514%)

SS3 [111]

4

29.79

22.228

20.226

6.705

SS4 [100,72]

4

 

22.228

20.226

6.705

SS2/SS3 [93]

4

 

22.228

20.226

6.705

C4/SS3 [94]

4

 

15.581

 

1.408

C3 [99,72]

4

 

12.346

 

1.100

SS1 [100,72]

10

 

9.468

9.061

6.705

Zig-Zag theory yields significantly greater shear-flexibility than TSDT (69.128% vs. 41.208%)

SS3 [111]

10

11.34

9.468

9.08

6.705

SS4 [100,72]

10

 

9.468

9.061

6.705

SS2/SS3 [93]

10

 

9.468

9.061

6.705

C4/SS3 [94]

10

 

4.333

 

1.408

C3 [99,72]

10

 

3.504

 

1.100

SS1 [100,72]

20

 

7.379

7.272

6.705

Zig-Zag theory yields somewhat greater shear-flexibility than TSDT (17.823% vs. 10.052%)

SS3 [111]

20

7.90

7.379

7.29

6.705

SS4 [100,72]

20

 

7.379

7.272

6.705

SS2/SS3 [93]

20

 

7.379

7.272

6.705

C4/SS3 [94]

20

 

2.163

 

1.408

C3 [99,72]

20

 

1.752

 

1.100

SS1 [100,72]

100

 

6.689

6.685

6.705

Computed TSDT, FSDT and CLT values are very close

SS3 [111]

100

 

6.689

6.685

6.705

SS4 [100,72]

100

 

6.689

6.685

6.705

SS2/SS3 [93]

100

 

6.689

6.685

6.705

C4/SS3 [94]

100

 

1.408

 

1.408

C3 [99,72]

100

 

1.100

 

1.100

%Degree of Shear Flexibility= SDTxCLT CLT 100,x=ZigZag or HSDT