ENGR 234: Statics10-W: Simplification of Force-Moment SystemsF4-19.Replace the loading system shown by a single resultant force acting at A and a single couple momentacting at A. State your answer as a resultant force magnitude and angle from the + x-axis, and as amoment magnitude with a CW/CCW designation.900 N\30°300 N300N•MA0.75 m0.75 m0.75 m0.75 mSolution Strategy:1. The planar nature of the problem lends itself to Scalar Analysis.2. Resolve the 900 N force into its x- and y-components.3. Using Scalar Analysis, compute the moments due to the forces: Use the Principle of Momentsfor the 900 force (i.e. use its components). The 300 N force already has an easily identifiableperpendicular distance to A. Keep track of the senses of these moments.4. Determine the sense of the 300 N m couple, and then add this to the moments found in step 3to find a single resultant moment at A.5. Sum the forces in x and y and then combine them into a single resultant force in the magnitude-angle (polar) form required.

Solution Draw the given diagram

10-W: Simplification of Force-Moment Systems F4-19. Replace the loading system shown by a single resultant force acting at A and a single couple moment acting at A. State your answer as a resultant force magnitude and angle from the + x-axis, and as a moment magnitude with a CW/CCW designation. 900 N \30° 300 N 300 N m

10-W: Simplification of Force-Moment Systems F4-19. Replace the loading system shown by a single resultant force acting at A and a single couple moment acting at A. State your answer as a resultant force magnitude and angle from the + x-axis, and as a moment magnitude with a CW/CCW designation. 900 N \30° 300 N 300 N m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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