Determine the reactions at A and D and the force components pin B exerts on member BDE. Show all work. (Hint: There are two ways to approach this problem. In my opinion, the easier path is to begin by considering the entire frame. What are the vertical reaction components? 12 kN.m 6 kN 300 mm 300 mm -400 mm>400 mm>

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
**Problem Statement:**

Determine the reactions at points A and D, as well as the force components exerted by pin B on member BDE. Show all work. (Hint: There are two ways to approach this problem. In my opinion, the easier path is to begin by considering the entire frame. What are the vertical reaction components?)

**Diagram Explanation:**

The diagram provided is a structural analysis problem showing a frame with specific members and forces. The frame consists of:

- **Member BDE**: This is a diagonal member spanning between points B and C, with a vertical section extending from B to E, and then horizontally to D.
- **Supports**: Point A and D are support points at the base, each with triangular support, indicating pinned or roller connections allowing rotation but restricting translation in certain directions.

**Dimensions:**

- The vertical distances between sections are 300 mm (from B to E) and 300 mm (from E to the ground).
- Horizontal distances are as follows:
  - 400 mm from point A to B
  - 400 mm from point D to E

**Forces:**

- A moment of \(12 \, \text{kN} \cdot \text{m}\) is applied at point E.
- A downward force of \(6 \, \text{kN}\) is applied at point C.

**Objective:**

Calculate the reaction forces at the supports (A and D) and the force components at pin B. You are encouraged to begin the analysis by considering the entire frame, identifying the vertical reaction components.

The task involves applying equilibrium equations to solve for the unknown forces, which include balancing the forces in the horizontal and vertical directions and considering moments around pivotal points.
Transcribed Image Text:**Problem Statement:** Determine the reactions at points A and D, as well as the force components exerted by pin B on member BDE. Show all work. (Hint: There are two ways to approach this problem. In my opinion, the easier path is to begin by considering the entire frame. What are the vertical reaction components?) **Diagram Explanation:** The diagram provided is a structural analysis problem showing a frame with specific members and forces. The frame consists of: - **Member BDE**: This is a diagonal member spanning between points B and C, with a vertical section extending from B to E, and then horizontally to D. - **Supports**: Point A and D are support points at the base, each with triangular support, indicating pinned or roller connections allowing rotation but restricting translation in certain directions. **Dimensions:** - The vertical distances between sections are 300 mm (from B to E) and 300 mm (from E to the ground). - Horizontal distances are as follows: - 400 mm from point A to B - 400 mm from point D to E **Forces:** - A moment of \(12 \, \text{kN} \cdot \text{m}\) is applied at point E. - A downward force of \(6 \, \text{kN}\) is applied at point C. **Objective:** Calculate the reaction forces at the supports (A and D) and the force components at pin B. You are encouraged to begin the analysis by considering the entire frame, identifying the vertical reaction components. The task involves applying equilibrium equations to solve for the unknown forces, which include balancing the forces in the horizontal and vertical directions and considering moments around pivotal points.
Expert Solution
Step 1

Civil Engineering homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Matrix algebra for structural analysis
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.
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