Engineering Mechanics: Statics & Dynamics (14th Edition)

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

Chapter 4 - Force System Resultants - Section 4.8 - Further Simplification of a Force and Couple System - Problems - Page 188: 130

Answer

$\begin{aligned} & F_R=35 \mathrm{kN} \\ & y=11.3 \mathrm{~m} \\ & x=11.5 \mathrm{~m}\end{aligned}$

Work Step by Step

Equivalent Resultant Force. $ +\uparrow\left(F_R\right)_z=\Sigma F_z ; \quad-F_R=-8-6-12-9 \quad F_R=35 \mathrm{kN} \quad \text { Ans. } $ Location of the Resultant Force. Sum the moments about the $x$ and $y$ axes by referring to Fig $ \begin{aligned} \left(M_R\right)_x=\Sigma M_s ; \quad-35 y & =-12(8)-6(20)-9(20) \\ y & =11.31 \mathrm{~m}=11.3 \mathrm{~m} \\ \left(M_R\right)_y=\Sigma M_y ; \quad 35 x & =12(6)+8(22)+6(26) \\ x & =11.54 \mathrm{~m}=11.5 \mathrm{~m} \end{aligned} $
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