Page 118 - Aircraft Stuctures for Engineering Student

102 Energy methods of structural analysis

whnit length

+

1
Fig. 4.23 Deflection of a bent rod.
-- -
Employing a tabular procedure

MO M1 TO Tl

Plane xy XZ yz xy xz yz xy xz yz xy xz yz
CD 0 0 0 y o 0 0 0 0 0 0 0
CB 0 0 -wz2/2 o z o 0 0 0 1 0 0

BA -WlX 0 0 1 1 0 0 0 wl”2 0 0 0
Hence

or

A WP
x- 2EI
Similarly

Ay=wf(-+-) 1
11
24EI 2GJ
A,= w?(-+-) 1
1
6EI 2GJ