Replace the loading by an equivalent resultant force and couple moment acting at point 0. Solution Strategy: 1. Break the distributed load into “primal” geometric shapes. This problem lends itself to analysis in 3 primal shapes. 2. The areas below

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Replace the loading by an equivalent resultant force and couple moment acting at point 0.

Solution Strategy:
1. Break the distributed load into “primal” geometric shapes. This problem lends itself to analysis in 3 primal shapes.
2. The areas below the load profiles will tell you the magnitudes of the equivalent concentrated loads.
3. The position of the individual concentrated loads resulting from breaking up the given load profile will be located at the centroid of each primal.
4. Once you have the equivalent concentrated loads and positions for the three primals you can find the resultant force and moment about ? in one of two ways:
a. Find a single equivalent force and position (like you did for 11-W) and then relocate this single force to ?? using the techniques from topic 10.
b. Use the techniques from topic 10 directly on the three equivalent concentrated loads you found in steps 2 & 3.

 

8 kN/m
5 kN/m
1.5 m
-0.75 m
0.75 m
Transcribed Image Text:8 kN/m 5 kN/m 1.5 m -0.75 m 0.75 m
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