A thin and weightless beam is supported by a pin connection at 4 and by a roller at B (see figure 2.1). A load of 10 N is applied at the extremity C, at an angle of 45 degrees. A vertical load of 15 N is applied at point D, between 1 and B. (a) Assign a value to the length AD and calculate the reaction forces at A and B. (b) If you had to replace the pin connection and the roller support with only one support, what support would you use, and where, to keep the beam in equilibrium? Justify your suggestion(s).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A thin and weightless beam is supported by a pin connection at A and by a roller at B
(see figure 2.1). A load of 10 N is applied at the extremity C, at an angle of 45
degrees. A vertical load of 15 N is applied at point D, between 1 and B.
(a) Assign a value to the length AD and calculate the reaction forces at A and B.
(b) If you had to replace the pin connection and the roller support with only one
support, what support would you use, and where, to keep the beam in
equilibrium? Justify your suggestion(s).
15 N
D
9m
Figure 2.1
B
10 N
45°
3 m
C
Transcribed Image Text:A thin and weightless beam is supported by a pin connection at A and by a roller at B (see figure 2.1). A load of 10 N is applied at the extremity C, at an angle of 45 degrees. A vertical load of 15 N is applied at point D, between 1 and B. (a) Assign a value to the length AD and calculate the reaction forces at A and B. (b) If you had to replace the pin connection and the roller support with only one support, what support would you use, and where, to keep the beam in equilibrium? Justify your suggestion(s). 15 N D 9m Figure 2.1 B 10 N 45° 3 m C
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