Determine the equivalent force and moment system at A that would replace the distributed forces shown acting on the beam.
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Texts: A 4 ft 150 lb/ft 3 ft B 200 lb/ft Determine the equivalent force and moment system at A that would replace the distributed forces shown acting on the beam. Show more…
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Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A.
Aman G.
Replace the force system acting on the beam by an equivalent force and couple moment at point $A$.
On the beam, as measured from A: a. Calculate the total force(s) and the distributed load(s), and determine the location of the single force(s) to replace them. (Hint: Analyze the trapezoid-shaped distributed load separately as a rectangular distributed load and a triangular distributed load.) (25%) b. Calculate the moments about A produced by each force, including the 12 kN force and any forces that replaced the distributed load. Add these to calculate the resultant moment about A, MRA. (25%) c. Calculate a single resultant force, FR, to replace all the loading. (25%) d. Indicate the distance from A on the beam where FR should be located so that MRA is replaced. (25%)
Adi S.
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