Computation of Reactions Problems and Solutions

Example 3.10

A gable frame is subjected to a wind loading, as shown in Fig. 3.24(a). Determine the reactions at its supports due to the loading.

Solution
Free-Body Diagram See Fig. 3.24(b).
Static Determinacy The frame is internally unstable, with r ¼ 4 and ec ¼ 1. Since r ¼ 3 þ ec, it is statically
determinate.

Example 3.11

Determine the reactions at the supports for the frame shown in Fig. 3.25(a).

Solution
Free-Body Diagram See Fig. 3.25(b).
Static Determinacy The frame has r = 4 and ec = 1; since r =3 + ec, it is statically determinate.

 

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