We are given the structure of Fig. 4a. a) Calculate the deflection at point B, using the unit load method. b) The owner of the structure wants to ensure that point B does not deflect at all (that is, the vertical displacement at B must be zero). To this end, engineers come up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such that the deflection at B is zero. Calculate the value that RB must have. HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the total deflection at B (which we want to be zero) is equal to the sum of the deflection at B due to the distributed load and of the deflection at B due to RB. 2 kip/ft 2 kip/ft В В A 10 ft 10 ft |RB EI = 5.0-107 kip-in? EI = 5.0-107 kip-in? %3D %3D (a) (b) Figure 4
We are given the structure of Fig. 4a. a) Calculate the deflection at point B, using the unit load method. b) The owner of the structure wants to ensure that point B does not deflect at all (that is, the vertical displacement at B must be zero). To this end, engineers come up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such that the deflection at B is zero. Calculate the value that RB must have. HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the total deflection at B (which we want to be zero) is equal to the sum of the deflection at B due to the distributed load and of the deflection at B due to RB. 2 kip/ft 2 kip/ft В В A 10 ft 10 ft |RB EI = 5.0-107 kip-in? EI = 5.0-107 kip-in? %3D %3D (a) (b) Figure 4
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please solve part B. Part a is solved on Bartleby for reference.
Transcribed Image Text:We are given the structure of Fig. 4a.
a) Calculate the deflection at point B, using the unit load method.
b) The owner of the structure wants to ensure that point B does not deflect at all
(that is, the vertical displacement at B must be zero). To this end, engineers come
up with the solution shown in Fig. 4b: to apply an upward force, RB, at point B, such
that the deflection at B is zero. Calculate the value that Rg must have.
HINT: You can use the PRINCIPLE OF SUPERPOSITION, according to which the
total deflection at B (which we want to be zero) is equal to the sum of the deflection
at B due to the distributed load and of the deflection at B due to RB.
2 kip/ft
2 kip/ft
B
A
A
10 ft
10 ft
RB
EI = 5.0-107 kip-in?
EI = 5.0-107 kip•in?
(a)
(b)
Figure 4
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