Determine the force in each member of the truss. The force is positive if in tension, negative if in compression. 15 kN A 4.1 m B 1.3 m 2.6 m

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
**Truss Analysis**

**Problem:**  
Determine the force in each member of the truss. The force is positive if in tension, negative if in compression.

**Diagram Description:**

- The truss consists of four members connected in a triangular shape.
- Points of connection are labeled as A, B, C, and D.
- The truss is anchored at points A and D.
- A force of 15 kN is applied downward at point B.
- The members are labeled with their lengths:
  - AB is horizontal, measuring 4.1 m.
  - CD is vertical, measuring 1.3 m.
  - AC is horizontal, measuring 2.6 m.

**Given Answers:**

- **AB**: -80.84 kN (compression)
- **AC**: 33.54 kN (tension)
- **AD**: 0 kN (no force)
- **BC**: 82.21 kN (tension)
- **CD**: 47.30 kN (tension)

**Conclusion:**

The diagram shows the forces acting on each member of the truss. The negative sign for AB indicates it is in compression. Other members such as AC, BC, and CD show positive values, indicating they are in tension. The member AD experiences no force. This analysis helps in understanding which parts of the structure need reinforcement based on the tension and compression forces acting upon them.
Transcribed Image Text:**Truss Analysis** **Problem:** Determine the force in each member of the truss. The force is positive if in tension, negative if in compression. **Diagram Description:** - The truss consists of four members connected in a triangular shape. - Points of connection are labeled as A, B, C, and D. - The truss is anchored at points A and D. - A force of 15 kN is applied downward at point B. - The members are labeled with their lengths: - AB is horizontal, measuring 4.1 m. - CD is vertical, measuring 1.3 m. - AC is horizontal, measuring 2.6 m. **Given Answers:** - **AB**: -80.84 kN (compression) - **AC**: 33.54 kN (tension) - **AD**: 0 kN (no force) - **BC**: 82.21 kN (tension) - **CD**: 47.30 kN (tension) **Conclusion:** The diagram shows the forces acting on each member of the truss. The negative sign for AB indicates it is in compression. Other members such as AC, BC, and CD show positive values, indicating they are in tension. The member AD experiences no force. This analysis helps in understanding which parts of the structure need reinforcement based on the tension and compression forces acting upon them.
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.
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