Engineering Mechanics: Statics & Dynamics (14th Edition)

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

Chapter 7 - Internal Forces - Section 7.1 - Internal Loadings Developed in Structural Members - Problems - Page 354: 7

Answer

$\begin{aligned} & V_C=-4.00 \mathrm{kip} \\ & M_C=24.0 \mathrm{kip} \cdot \mathrm{ft}\end{aligned}$

Work Step by Step

Support Reactions. Referring to the $F B D$ of the entire beam shown in Fig. $a$, $ ↺+\Sigma M_A=0 ; \quad B_y(12)-\frac{1}{2}(4)(6)(4)=0 \quad B_y=4.00 \mathrm{kip}\\ $ Internal Loadings. $ \begin{array}{lll} +\uparrow \Sigma F_y=0 ; & V_C+4.00=0 & V_C=-4.00 \mathrm{kip} \\ ↺+\Sigma M_C=0 ; & 4.00(6)-M_C=0 & M_C=24.0 \mathrm{kip} \cdot \mathrm{ft} \end{array} $
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