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For the reinforcement shown, whose inclined force of 40 kN is applied in the same line of action of the FJ element: (a) identify the zero force elements  (b) determine the reactions  (c) determine the internal force of the elements DE, HI, KI, AB, AH

For the reinforcement shown, whose inclined force of 40 kN is applied in the same line of action of the FJ element: (a) identify the zero force elements  (b) determine the reactions  (c) determine the internal force of the elements DE, HI, KI, AB, AH

Structural Analysis
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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For the reinforcement shown, whose inclined force of 40 kN is applied in the same line of action of the FJ element:

(a) identify the zero force elements 

(b) determine the reactions 

(c) determine the internal force of the elements DE, HI, KI, AB, AH 

2.5 m D E 40 kN F. В K E A H. 15 kN J 2.5 m 50 kN 4 @ 5.0 m = 20 m 3 m.
Transcribed Image Text:2.5 m D E 40 kN F. В K E A H. 15 kN J 2.5 m 50 kN 4 @ 5.0 m = 20 m 3 m.
Expert Solution
Step 1

(a) Zero Force Elements:

At a unloaded joint, when there are three elements meet out of which two elements are collinear then the third element is zero-force element.

From the figure, the zero force members are BH, DI & LJ

(b) Reactions:

∑MA=015×7.5 + 50×10 + 40 sin50.19°×17.5 - 40 cos50.19°×3 - VG×20 = 0VG=53.67 kN ↑ ∑V=0VA+VG=15 + 50 +40 sin50.19°VA=42.06 kN ↑ ∑H=0HA - 40 cos50.19°=0HA=25.61 kN →

 

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