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 = 14 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w₂ = 18.6 lb/ft at C. The load intensity in section CD of the beam is constant at W3 11.2 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). = BY NC SA 2016 Eric Davishahl W1 -a- B -b- W2 W3 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 7.60 ft b 14.4 ft C 7.60 ft The resultant load in region AB is FR1 = 53.2 2.53 lb and acts ☑ ft to the right of A. The resultant load in region BC is FR2 234 12.4 lb and acts = ☑ ft to the right of A. The resultant load in region CD is FR3 = 85.1 lb and acts 16.2 ☑ ft to the right of A.

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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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 = 14 lb/ft at point B. The load then varies
linearly with a different slope to an intensity of w₂ = 18.6
lb/ft at C. The load intensity in section CD of the beam is
constant at W3 11.2 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).
=
BY NC SA
2016 Eric Davishahl
W1
-a-
B
-b-
W2
W3
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable
Value
a
7.60 ft
b
14.4 ft
C
7.60 ft
The resultant load in region AB is FR1
=
53.2
2.53
lb and acts
☑ ft to the right of A.
The resultant load in region BC is FR2
234
12.4
lb and acts
=
☑ ft to the right of A.
The resultant load in region CD is FR3
=
85.1
lb and acts
16.2
☑ 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 = 14 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w₂ = 18.6 lb/ft at C. The load intensity in section CD of the beam is constant at W3 11.2 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). = BY NC SA 2016 Eric Davishahl W1 -a- B -b- W2 W3 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 7.60 ft b 14.4 ft C 7.60 ft The resultant load in region AB is FR1 = 53.2 2.53 lb and acts ☑ ft to the right of A. The resultant load in region BC is FR2 234 12.4 lb and acts = ☑ ft to the right of A. The resultant load in region CD is FR3 = 85.1 lb and acts 16.2 ☑ ft to the right of A.
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