Q. 2) Using the Method of Joints: a) Find the force in members GJ, JD, JC, and GC. b) State whether each member is in tension or compression. 10 kN 6 KN A go 000 3 m 4 kN B H 3 m 4 m 3 m 8 kN D 2 m 3 m 5 kN E

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

        

**Q.2) Using the Method of Joints:**
   
**a) Find the force in members GJ, JD, JC, and GC.**
   
**b) State whether each member is in tension or compression.**

---

**Diagram Description:**
The diagram provided is a truss structure with different members and external forces applied. Below is a detailed explanation of the truss layout:

- The truss rests on supports at points A and E.
- Horizontal distances between the joints are labeled: 3 meters between A and B, 3 meters between B and C, 3 meters between C and D, and 3 meters between D and E.
- The vertical height from the base (A through E) to point G is labeled as 4 meters.

**External Forces Applied:**
- A downward force of 6 kN is applied at joint A.
- A downward force of 4 kN is applied at joint H.
- A downward force of 10 kN is applied at joint G.
- A downward force of 8 kN is applied at joint J.
- A downward force of 5 kN is applied at joint E.

**Joints and Members:**
- The truss consists of several joints connected by straight members.
- Joint G is the top of the truss, and it forms a triangle with joints H (left) and J (right).
- There are multiple members connecting the various joints: 
  - AB, BH, HC, and CE are horizontal members.
  - AG, GH, GJ, and JE are inclined members.
  - Vertical members: HJ and GC.

---

To solve for the forces in members GJ, JD, JC, and GC:

1. **Joint G**:
   - Consider equilibrium conditions (ΣF_x = 0, ΣF_y = 0) to solve for forces in members connected to G. 
   - Given the load, calculate the reaction forces at the supports (A and E).

2. **Member Forces**:
   - Use trigonometry for inclined members to determine the horizontal and vertical components.
   - Determine if each member is in tension (pulling apart) or compression (pushing together).

Let's apply these principles step-by-step to find the forces in the specific members GJ, JD, JC, and GC, determining if they are in tension or compression accordingly. Complete calculations require equilibrium equations and methodical resolution for
Transcribed Image Text:**Q.2) Using the Method of Joints:** **a) Find the force in members GJ, JD, JC, and GC.** **b) State whether each member is in tension or compression.** --- **Diagram Description:** The diagram provided is a truss structure with different members and external forces applied. Below is a detailed explanation of the truss layout: - The truss rests on supports at points A and E. - Horizontal distances between the joints are labeled: 3 meters between A and B, 3 meters between B and C, 3 meters between C and D, and 3 meters between D and E. - The vertical height from the base (A through E) to point G is labeled as 4 meters. **External Forces Applied:** - A downward force of 6 kN is applied at joint A. - A downward force of 4 kN is applied at joint H. - A downward force of 10 kN is applied at joint G. - A downward force of 8 kN is applied at joint J. - A downward force of 5 kN is applied at joint E. **Joints and Members:** - The truss consists of several joints connected by straight members. - Joint G is the top of the truss, and it forms a triangle with joints H (left) and J (right). - There are multiple members connecting the various joints: - AB, BH, HC, and CE are horizontal members. - AG, GH, GJ, and JE are inclined members. - Vertical members: HJ and GC. --- To solve for the forces in members GJ, JD, JC, and GC: 1. **Joint G**: - Consider equilibrium conditions (ΣF_x = 0, ΣF_y = 0) to solve for forces in members connected to G. - Given the load, calculate the reaction forces at the supports (A and E). 2. **Member Forces**: - Use trigonometry for inclined members to determine the horizontal and vertical components. - Determine if each member is in tension (pulling apart) or compression (pushing together). Let's apply these principles step-by-step to find the forces in the specific members GJ, JD, JC, and GC, determining if they are in tension or compression accordingly. Complete calculations require equilibrium equations and methodical resolution for
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 7 images

Blurred answer
Knowledge Booster
Load on structures
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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