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In this thesis, a stiffness matrix which includes the non-linear effects of principal plane shears, moments and axial loads on lateral and torsional deflections is developed for a doubly symmetric wide flange section. Initially, an exact eight by eight linear matrix is developed for an element of constant section properties. The eight allowable deflections allows the independent representation of the deflections of either flange at either end. The non-linear effects are included in thedoi:10.14288/1.0050586 fatcat:5244wfhsvva2vmhxu4erd3kiua