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: 9

Answer

$\begin{aligned} & N_C=-30 \mathrm{kN} \\ & V_C=-8 \mathrm{kN} \\ & M_C=6 \mathrm{kN} \cdot \mathrm{m}\end{aligned}$

Work Step by Step

$ \begin{array}{ll} ↺+\Sigma M_A=0 ; & -T(0.6)+8(2.25)=0 \\\\ \pm \Sigma F_x=0 ; & A_x=30 \mathrm{kN} \\ +\uparrow \Sigma F_y=0 ; & A_y=8 \mathrm{kN} \\\\ \pm \Sigma F_x=0 ; & -N_C-30=0 \\ & N_C=-30 \mathrm{kN} \\\\ +\uparrow \Sigma F_y=0 ; & V_C+8=0 \\ & V_C=-8 \mathrm{kN} \\\\ ↺+\Sigma M_C=0 ; & -M_C+8(0.75)=0 \\ & M_C=6 \mathrm{kN} \cdot \mathrm{m} \end{array} $
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