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 |