Table 2: Comparison of analytical approximations with the exact one for midspan deflections.

(a) (b) (c) (d)

20°0.10970.1097 (0.0000)0.1097 (0.0000)0.1097 (0.0000)
40°0.21110.2111 (0.0000)0.2111 (0.0000)0.2112 (0.0474)
60°0.29660.2965 (0.0337)0.2967 (0.0337)0.2968 (0.0674)
80°0.35970.3592 (0.1390)0.3601 (0.1112)0.3606 (0.2502)
100°0.39580.3945 (0.3285)0.3965 (0.1769)0.3981 (0.5811)
120°0.40160.3993 (0.5727)0.4019 (0.0747)0.4051 (0.8715)
140°0.37520.3731 (0.5597)0.3735 (0.4531)0.3641 (2.9584)

Number inside the bracket ( ) is the % relative error computed.
(a)Results by the exact theory [12].
(b)Results by the HPM truncated to the first order.
(c)Results by the HPM truncated to the second order.
(d)Results by the SAA.