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40 C. Amariei, I. Buliga<br />

θji = ϕj<br />

−ψij<br />

(3)<br />

ϕ i = ϕij<br />

= θij<br />

+ ψij<br />

(4)<br />

ϕ j = ϕji<br />

= θji<br />

+ ψij<br />

(5)<br />

Photo 1.<br />

The bar rotation ψij is calculated as follows:<br />

i j<br />

ψ<br />

u -u<br />

ij =<br />

(6)<br />

lij<br />

Note: In these relations, the rotations bear the signs corresponding to the adopted<br />

convention: “plus” for the clockwise rotations.<br />

b) Bar with rigid joint in one end and with hinge in the other end<br />

For the bar with rigid joint in “i” and the “j” hinges (photo 1.a), the φij and φji<br />

rotations of the bar ends have the expressions:<br />

ϕ i = ϕij<br />

= θij<br />

+ ψij<br />

ϕji = ψij<br />

− tijθij<br />

(7)

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