Structures: A Geometric Approach by Edmond Saliklis

Author:Edmond Saliklis
Language: eng
Format: epub
ISBN: 9783319987460
Publisher: Springer International Publishing

A key first step is to note that member CD and member EF are both pinned-pinned and neither is subject to any transverse loads, thus each is an axially loaded member. The axial force in each must be aligned with the member axis and there is no bending present. Of course, this assumes that self-weight of the structure can be neglected. This allows for an analysis of either member ACE or member BDF which are both continuous and subject to bending.

Isolating the free body diagram of BDF allows for known trajectories of the pinned-pinned forces from CD and EF. The trajectory of the net force at pin B is unknown, but it must pass through point B. This construction is shown in Fig. 6.8.

Fig. 6.8Free body of member BDF calculates direction, not magnitude, of net reaction at B

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