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 355: 15

Answer

$\begin{aligned} & N_C=0 \\ & V_C=-1.50 \mathrm{kN} \\ & M_C=13.5 \mathrm{kN} \cdot \mathrm{m}\end{aligned}$

Work Step by Step

Support Reactions. $ \begin{aligned} & \zeta+\Sigma M_A=0 ; \quad B_y(6)-\frac{1}{2}(6)(6)(2)=0 \quad B_y=6.00 \mathrm{kN} \\ & \pm \Sigma F_x=0 ; \quad B_x=0 \\ & \end{aligned} $ Internal Loadings. Referring to the $F B D$ of right segment of the beam sectioned through $C$, Fig. $ \begin{array}{lll} \rightarrow \Sigma F_x=0 ; & N_C=0 \\ +\uparrow \Sigma F_y=0 ; & V_C+6.00-\frac{1}{2}(3)(3)=0 &\\ V_C=-1.50 \mathrm{kN} \\\\ \zeta+\Sigma M_C=0 ; & 6.00(3)-\frac{1}{2}(3)(3)(1)-M_C=0 & \\M_C=13.5 \mathrm{kN} \cdot \mathrm{m} \end{array} $
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