Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
6-43. Determine the force in members CD, CJ, GJ, and CG and state if these members are in tension or compression.

6-43. Determine the force in members CD, CJ, GJ, and CG and state if these members are in tension or compression.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
**Problem 6–43: Analyzing Forces in a Roof Truss Structure** Objective: Determine the force in members CD, CJ, GJ, and CG of a truss and state whether these members are in tension or compression. **Diagram Description:** 1. **Truss Structure:** - The truss is a series of interconnected beams or bars that form a rigid framework, often used to support roofs or bridges. - The structure shown is a symmetrical truss with supports at points A and E. 2. **Members and Supports:** - The truss consists of multiple members (beams), connected at joints labeled A, B, C, D, E, G, H, and J. - Lengths: - Horizontal spans between joints A-B, B-C, C-D, and D-E are each 1.5 meters. - Vertical height from points B, C, D, and J to G is labeled as 2 meters. - Diagonal members HG, CJ, and JD are each 1 meter. 3. **Forces Applied:** - Vertical loads are applied at specific joints: - 4 kN downward at A. - 6 kN downward at H. - 12 kN downward at G. - 9 kN downward at J. - 6 kN downward at E. - The forces are indicated by arrows pointing downward, representing the weight or loads the truss needs to support. 4. **Points of Interest:** - Members to analyze for forces and states (tension or compression): CD, CJ, GJ, and CG. **Analysis Process:** To solve for forces in the truss members and determine whether they are in tension or compression, one may use methods such as: - **Method of Joints:** Involves isolating a joint and applying equilibrium equations to solve for unknown forces. - **Method of Sections:** Involves cutting the truss and applying equilibrium equations for linear and rotational stability. By understanding the structural layout and given forces, engineering principles such as static equilibrium will aid in evaluating load distribution across the truss.
Transcribed Image Text:**Problem 6–43: Analyzing Forces in a Roof Truss Structure** Objective: Determine the force in members CD, CJ, GJ, and CG of a truss and state whether these members are in tension or compression. **Diagram Description:** 1. **Truss Structure:** - The truss is a series of interconnected beams or bars that form a rigid framework, often used to support roofs or bridges. - The structure shown is a symmetrical truss with supports at points A and E. 2. **Members and Supports:** - The truss consists of multiple members (beams), connected at joints labeled A, B, C, D, E, G, H, and J. - Lengths: - Horizontal spans between joints A-B, B-C, C-D, and D-E are each 1.5 meters. - Vertical height from points B, C, D, and J to G is labeled as 2 meters. - Diagonal members HG, CJ, and JD are each 1 meter. 3. **Forces Applied:** - Vertical loads are applied at specific joints: - 4 kN downward at A. - 6 kN downward at H. - 12 kN downward at G. - 9 kN downward at J. - 6 kN downward at E. - The forces are indicated by arrows pointing downward, representing the weight or loads the truss needs to support. 4. **Points of Interest:** - Members to analyze for forces and states (tension or compression): CD, CJ, GJ, and CG. **Analysis Process:** To solve for forces in the truss members and determine whether they are in tension or compression, one may use methods such as: - **Method of Joints:** Involves isolating a joint and applying equilibrium equations to solve for unknown forces. - **Method of Sections:** Involves cutting the truss and applying equilibrium equations for linear and rotational stability. By understanding the structural layout and given forces, engineering principles such as static equilibrium will aid in evaluating load distribution across the truss.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS