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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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