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 353: 5

Answer

$\begin{aligned} & V_c=-133 \mathrm{lb} \\ & M_C=133 \mathrm{lb} \cdot \mathrm{in} .\end{aligned}$

Work Step by Step

$$ \begin{array}{cl} +\Sigma M_A=0 ; & -20(10)+R_B(1.5)=0 \\ & R_B=133.3 \mathrm{lb} \end{array} $$ Segment $B C$ : $$ \begin{array}{ll} +\nearrow \Sigma F_y=0 ; & V_C+133.3=0 \\ & V_C=-133 \mathrm{lb} \\ ↺+\Sigma M_C=0 ; & -M_C+133.3(1)=0 \\ & M_C=133 \mathrm{lb} \cdot \mathrm{in} . \end{array} $$
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