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 4.9 - Reduction of a Simple Distributed Loaded - Problems - Page 198: 152

Answer

$F_{R}$ = 1.80KN ↓ ($M_{R}$)$_{A}$ =4.20KN.m (clockwise)

Work Step by Step

Summing the force along the y axis to find equivalent Resultant Force and couple Moment at Point A. ↑+($F_{R}$)$_{y}$ = Σ$F_{y}$ : $F_{R}$ = -400(3) -$\frac{1}{2}$(400)(3) $F_{R}$ = -1800N $F_{R}$ = 1.80KN ↓ Now Summing the moment about point A. ↺+($M_{R}$)$_{A}$ = Σ$M_{A}$ : ($M_{R}$)$_{A}$ = -400(3)(1.5) - $\frac{1}{2}$(400)(3)(4) ($M_{R}$)$_{A}$ = -4200N.m ($M_{R}$)$_{A}$ =4.20KN.m (clockwise) Ans
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