Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 6 - Structural Analysis - Section 6.4 - The Method of Sections - Problems - Page 298: 31

Answer

$\begin{aligned} & F_{K J}=11.25 \mathrm{kip}(\mathrm{T}) \\ & F_{C D}=9.375 \mathrm{kip}(\mathrm{C}) \\ & F_{C J}=3.125 \mathrm{kip}(\mathrm{C}) \\ & F_{D J}=0\end{aligned}$

Work Step by Step

$ \begin{array}{ll} ↺+\Sigma M_C=0 ; & -9500(18)+4000(9)+F_{K J}(12)=0 \\ & F_{K J}=11250 \mathrm{lb}=11.2 \mathrm{kip}(\mathrm{T}) \\ ↺+\Sigma M_J=0 ; & -9500(27)+4000(18)+8000(9)+F_{C D}(12) \\ & F_{C D}=9375 \mathrm{lb}=9.38 \mathrm{kip}(\mathrm{C}) \\ \rightarrow \Sigma F_x=0 ; & -9375+11250-\frac{3}{5} F_{C J}=0 \\ & F_{C J}=3125 \mathrm{lb}=3.12 \mathrm{kip}(\mathrm{C}) \\ \text { Joint } D: & F_{D J}=0 \end{array} $
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