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Three distributed loads act on a beam as shown. The load between A and B increas

ID: 2073909 • Letter: T

Question

Three distributed loads act on a beam as shown. The load between A and B increases linearly from 0 to a maximum intensity of w1 = 12 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w2 = 17.7 lb/ft at C. The load intensity in section CD of the beam is constant at w3 = 9.60 lb/ft. For each load region, determine the resultant force and the location of its line of action (distance to the right of AA for all cases).

Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.

The resultant load in region AB is FR1= ____lb and acts _____ft to the right of AA.

The resultant load in region BC is FR2= ____lb and acts ____ft to the right of AA.

The resultant load in region CD is FR3= _____lb and acts ____ft to the right of AA.

Variable Value a 7.607.60 ft b 11.011.0 ft c 9.509.50 ft
W2 0 BY NC SA 2016 Eric Davishahl w W3 C-

Explanation / Answer

The resultant load in region AB is FR1= _45.6___lb and acts __5.07___ft to the right of AA.

The resultant load in region BC is FR2= _163.35___lb and acts _13.45___ft to the right of AA.

The resultant load in region CD is FR3= _91.2____lb and acts _23.35___ft to the right of AA.

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