Using the method of sections, determine the force in members CF and GC of the roof truss as shown in Fig. 2. State whether the members (CF and GC) are in tension or compression.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
icon
Concept explainers
Question

Using the method of sections, determine the force in members CF and GC of the roof truss as shown in Fig. 2. State whether the members (CF and GC) are in tension or compression. 

This truss diagram represents a static structure and shows several forces acting on it. The truss is symmetric and consists of several joints labeled A, B, C, D, E, F, G, and H. It includes the following features and details:

1. **Support Reactions and Joint Loads:**
   - At joint A, there is a vertical reaction force \( A_y = 3.20 \, \text{kN} \) and a horizontal reaction force \( A_x = 0 \).
   - At joint E, there is a vertical reaction force \( E_y = 3.20 \, \text{kN} \).

2. **Applied Loads:**
   - At joints A and E, there are external horizontal and vertical downward forces of \( 0.75 \, \text{kN} \).
   - At joints H and F, there are external horizontal forces of \( 1.50 \, \text{kN} \) acting at a \( 30^\circ \) angle towards the center.
   - At joint G, there is a vertical downward force of \( 2.50 \, \text{kN} \).

3. **Truss Dimensions:**
   - The horizontal distance between each joint from A to B, B to C, C to D, and D to E is \( 2 \, \text{m} \).

4. **Structural Members:**
   - The truss is composed of triangle sections with labeled members such as \( a, b, \) and two dashed lines inside forming a truss (one moving from F to G, and the other from G to H).

Overall, this diagram models a classic truss structure often used in engineering to analyze forces in roof frames or bridges, demonstrating the distribution of loads and support reactions across the members.
Transcribed Image Text:This truss diagram represents a static structure and shows several forces acting on it. The truss is symmetric and consists of several joints labeled A, B, C, D, E, F, G, and H. It includes the following features and details: 1. **Support Reactions and Joint Loads:** - At joint A, there is a vertical reaction force \( A_y = 3.20 \, \text{kN} \) and a horizontal reaction force \( A_x = 0 \). - At joint E, there is a vertical reaction force \( E_y = 3.20 \, \text{kN} \). 2. **Applied Loads:** - At joints A and E, there are external horizontal and vertical downward forces of \( 0.75 \, \text{kN} \). - At joints H and F, there are external horizontal forces of \( 1.50 \, \text{kN} \) acting at a \( 30^\circ \) angle towards the center. - At joint G, there is a vertical downward force of \( 2.50 \, \text{kN} \). 3. **Truss Dimensions:** - The horizontal distance between each joint from A to B, B to C, C to D, and D to E is \( 2 \, \text{m} \). 4. **Structural Members:** - The truss is composed of triangle sections with labeled members such as \( a, b, \) and two dashed lines inside forming a truss (one moving from F to G, and the other from G to H). Overall, this diagram models a classic truss structure often used in engineering to analyze forces in roof frames or bridges, demonstrating the distribution of loads and support reactions across the members.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Statics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY