Find:

* 2.4.1 The minimum required stiffness and deflection of the springs in the structure
 based on friction and weight consideration of the struts.

* 2.4.2 Determination of instantaneous time, velocity and acceleration with respect to
 position in every layer of the structure. The total time taken to deploy the structure
 was also determined.

* 2.4.3 Alteration of the stiffness of the springs in various layers to develop a
 uniform structure in which the time taken to deploy every layer remains a constant.

* 2.4.4 Determination of forces acting on the hinge at various stages of deployment.

* 2.4.5 Determination of instantaneous time, velocity and acceleration with respect to
 position when the structure is deployed in a single stage.

* 2.4.6 Determination of stiffness and deflection of the springs when an external load
 is applied

For the given structure,

 Friction Force Ff= 9.81 (m/sec2) (M, /) (2.5)

 L
 Number of layers on each side N L [must be an integer] (2.6)
 H

 Number of plates on each side C = N + 1 (2.7)

 Weight of the top member Wts = 9.81 (m/sec2) (Mts) (2.8)


 Length of strut when deployed Lmax = (-+ H2)5 (2.9)


 Length of the struts when stowed Lmin = H

 Length of strut at any position Xi Li = (Xi2 + H2).5 (2.10)

 Each angular column consists of two plates. The plates are perpendicularly to each

other and welded at one of the edges along their length as shown in Figure 2-2. Hence

for simplicity reasons an angular column is considered as two plates.