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 186: 114

Answer

$$ \begin{aligned} & F_R=10.75 \mathrm{kip} \downarrow \\ & d=9.26 \mathrm{ft} \end{aligned} $$

Work Step by Step

Equivalent Force: $$ \begin{aligned} +\uparrow F_R=\Sigma F_y ; \quad F_R & =-1750-5500-3500 \\ & =-10750 \mathrm{lb}=10.75 \mathrm{kip} \downarrow \end{aligned} $$ Location of Resultant Force From Point A: $$ \begin{array}{rr} ↺+M_{R_A}=\Sigma M_A ; \quad 10750(d) & =3500(20)+5500(6)-1750(2) \\ d & =9.26 \mathrm{ft} \end{array} $$
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