Q6 Draw the influence line for the force in (a) member JI, (b) member IE, and (c) member EF. L K J I H Solution FJI 6 12 18 24 30 36 loodőo B -6 ft--6 ft- G in fon for fot 6 ft- -6 ft- -6 ft 8 ft

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Please solve this problem in detail so a beginner can understand your thought process. Go over every step. Subject is Structural Analysis
**Influence Line Analysis for Truss Members**

**Question 6:**
Draw the influence line for the force in:
(a) Member JI
(b) Member IE
(c) Member EF

**Solution:**

The problem involves evaluating a truss structure, specifically identifying the influence lines for forces in certain members as a load traverses the truss.

**Truss Diagram:**
The truss consists of members labeled A through G, with verticals increasing by 6 ft per section. The height of the truss is 8 ft.

**(a) Influence Line for Member JI:**
- Graph is plotted on a coordinate system where the x-axis represents the position of the moving load in feet, and the y-axis represents the influence line values.
- Points are noted at:
  - (0, 0)
  - (6, -0.25)
  - (12, -0.5)
  - (18, -0.75)
  - (24, -1)
  - (30, -0.5)
  - (36, 0)
- The line descends linearly from the origin to a minimum value at x = 24 ft, then returns to zero at x = 36 ft.

**(b) Influence Line for Member IE:**
- Graph is plotted with similar axes where x represents feet and y the influence value.
- Points are noted at:
  - (0, 0)
  - (6, 0.167)
  - (12, 0.333)
  - (18, 0.5)
  - (24, 0.667)
  - (28.8, 0)
  - (30, -0.167)
  - (36, 0)
- The graph peaks at x = 24 ft before dropping to a zero and then a slight negative value at x = 30 ft.

**(c) Influence Line for Member EF:**
- Graph depicts a symmetric influence line.
- Points are noted at:
  - (0, 0)
  - (6, 0.25)
  - (12, 0.5)
  - (18, 0.75)
  - (24, 1.0)
  - (30, 0.5)
  - (36, 0)
- The line increases to a maximum at x = 24 ft
Transcribed Image Text:**Influence Line Analysis for Truss Members** **Question 6:** Draw the influence line for the force in: (a) Member JI (b) Member IE (c) Member EF **Solution:** The problem involves evaluating a truss structure, specifically identifying the influence lines for forces in certain members as a load traverses the truss. **Truss Diagram:** The truss consists of members labeled A through G, with verticals increasing by 6 ft per section. The height of the truss is 8 ft. **(a) Influence Line for Member JI:** - Graph is plotted on a coordinate system where the x-axis represents the position of the moving load in feet, and the y-axis represents the influence line values. - Points are noted at: - (0, 0) - (6, -0.25) - (12, -0.5) - (18, -0.75) - (24, -1) - (30, -0.5) - (36, 0) - The line descends linearly from the origin to a minimum value at x = 24 ft, then returns to zero at x = 36 ft. **(b) Influence Line for Member IE:** - Graph is plotted with similar axes where x represents feet and y the influence value. - Points are noted at: - (0, 0) - (6, 0.167) - (12, 0.333) - (18, 0.5) - (24, 0.667) - (28.8, 0) - (30, -0.167) - (36, 0) - The graph peaks at x = 24 ft before dropping to a zero and then a slight negative value at x = 30 ft. **(c) Influence Line for Member EF:** - Graph depicts a symmetric influence line. - Points are noted at: - (0, 0) - (6, 0.25) - (12, 0.5) - (18, 0.75) - (24, 1.0) - (30, 0.5) - (36, 0) - The line increases to a maximum at x = 24 ft
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Did you mean influence for member JI when you wrote JK. If you did mean JK the member why use JK.

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