Se [reSeJ

Expressing eqn. (9.20) in terms of the member loads with respect to the required global coordinates, we obtain:

Substituting from eqn. (9.13) gives:

{S(e)} = [Tw]-'[it'(e,](i'Wl Further, substituting from eqn. (9.18) gives:

It can be shown, by equating work done in the local and global coordinates systems, that

(This property of the transformation matrix, [r(e)], whereby the inverse equals the transpose is known as orthogonality.) Hence, element loads are given by:

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