A bent pipe is attached to a wall with brackets as shown. A force of F = 170 lb is applied to the end of the tube with direction indicated by the dimensions in the figure. Determine the support reactions at the brackets B, C, and D. Model these brackets as journal bearings (only force reactions perpendicular to the axis of the tube) and neglect couple moment reactions. Assume the distance between the supports at B and C and the tube bends nearby are negligible such that the support at C is directly above the support at D and the dimension g gives the distance between supports B and C. Enter your answers in Cartesian components.
A bent pipe is attached to a wall with brackets as shown. A force of F = 170 lb is applied to the end of the tube with direction indicated by the dimensions in the figure. Determine the support reactions at the brackets B, C, and D. Model these brackets as journal bearings (only force reactions perpendicular to the axis of the tube) and neglect couple moment reactions. Assume the distance between the supports at B and C and the tube bends nearby are negligible such that the support at C is directly above the support at D and the dimension g gives the distance between supports B and C. Enter your answers in Cartesian components.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A bent pipe is attached to a wall with brackets as shown. A force of F = 170 lb is applied to the end of the
tube with direction indicated by the dimensions in the figure. Determine the support reactions at the
brackets B, C, and D. Model these brackets as journal bearings (only force reactions perpendicular to the
axis of the tube) and neglect couple moment reactions. Assume the distance between the supports at B
and C and the tube bends nearby are negligible such that the support at Cis directly above the support at
D and the dimension g gives the distance between supports B and C. Enter your answers in Cartesian
components.
2013 Michael Swanbom
BY NC SA
d
A
FK
Values for dimensions on the figure are given in the table below. Note the figure may not be to scale.
Variable
Value
8.68 in
14.9 in
14.2 in
d
46.5 in
h
29.5 in
31.0 in
The reaction at B is B =
k lb.
The reaction at C is Ć =
k lb.
The reaction at D is D
ĵ +
k lb.
+
Expert Solution
Step 1
Given data,
Force, F = 170 lb
a = 8.68 in
b = 14.9 in
c = 14.2 in
d = 46.5 in
h = 29.5 in
g = 31 in
Assume D is the origin.
Coordinates of A = (g, d, h) = (31, 46.5, 29.5)
Coordinates of B = (g, 0, h) = (31, 0, 29.5)
Coordinates of C = (0, 0, h) = (0, 0, 29.5)
To determine:-
i) Reaction at B
ii) Reaction at C
iii) Reaction at D
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