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 = 12.8 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w₂ = 17.1 lb/ft at C. The load intensity in section CD of the beam is constant at w3 = 10.2 lb/ft. For each load region, determine the resultant force and the location of its line of action (distance to the right of A for all cases). Cc 120 BY NC SA 2016 Eric Davishahl Wi W2 W3 -a- B -b- D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 4.50 ft b 5.85 ft с 4.28 ft The resultant load in region AB is FR1 lb and acts = ft to the right of A. The resultant load in region BC is FR2 lb and acts = ft to the right of A. The resultant load in region CD is FR3 = lb and acts ft to the right of A.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.4.39P: A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A,...
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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 = 12.8 lb/ft at point B. The load then varies
linearly with a different slope to an intensity of w₂ = 17.1
lb/ft at C. The load intensity in section CD of the beam is
constant at w3 = 10.2 lb/ft. For each load region, determine
the resultant force and the location of its line of action
(distance to the right of A for all cases).
Cc 120
BY NC SA
2016 Eric Davishahl Wi
W2
W3
-a-
B
-b-
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
4.50 ft
b
5.85 ft
с
4.28 ft
The resultant load in region AB is FR1
lb and acts
=
ft to the right of A.
The resultant load in region BC is FR2
lb and acts
=
ft to the right of A.
The resultant load in region CD is FR3 =
lb and acts
ft to the right of A.
Transcribed Image Text: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 = 12.8 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w₂ = 17.1 lb/ft at C. The load intensity in section CD of the beam is constant at w3 = 10.2 lb/ft. For each load region, determine the resultant force and the location of its line of action (distance to the right of A for all cases). Cc 120 BY NC SA 2016 Eric Davishahl Wi W2 W3 -a- B -b- D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 4.50 ft b 5.85 ft с 4.28 ft The resultant load in region AB is FR1 lb and acts = ft to the right of A. The resultant load in region BC is FR2 lb and acts = ft to the right of A. The resultant load in region CD is FR3 = lb and acts ft to the right of A.
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