M D B- L+- +- 1.5L 1.5L-1.5L - 0.5L 0.5L A frame consists of two members, AD and DBC that are connected with an internal pin at D. A and B are rollers and C is a pinned external support. What is the value of the support reaction By? Up is positive, down is negative. Input your answer with one decimal place. P=5.7 lb, M=27.9 Ib*ft, L=3.6 ft

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.28P
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The image depicts a structural frame composed of two members: AD and DBC. These members are connected via an internal pin at point D. The supports include rollers at points A and B, and a pinned external support at point C. 

The diagram illustrates several forces and moments:
- An inclined force \( P \) applied at the leftmost end of the frame, angled at 30 degrees.
- A vertical force \( 2P \) acting at point A.
- A clockwise moment \( M \) applied at point B.
- A vertical force \( 3P \) applied at point C.

Key dimensions are labeled along the beam:
- The segment between points A and D is \( 0.5L \), repeated between D and B, B and C, as well as between A and B, B and C, equaling a total length of 3L.

Problem Statement:
The task is to determine the value of the support reaction \( By \) (the vertical reaction at point B). A positive value indicates an upward force, whereas a negative value indicates a downward force. 

Given parameters are:
- \( P = 5.7 \, \text{lb} \)
- \( M = 27.9 \, \text{lb} \cdot \text{ft} \)
- \( L = 3.6 \, \text{ft} \)

The answer should be entered with one decimal precision.
Transcribed Image Text:The image depicts a structural frame composed of two members: AD and DBC. These members are connected via an internal pin at point D. The supports include rollers at points A and B, and a pinned external support at point C. The diagram illustrates several forces and moments: - An inclined force \( P \) applied at the leftmost end of the frame, angled at 30 degrees. - A vertical force \( 2P \) acting at point A. - A clockwise moment \( M \) applied at point B. - A vertical force \( 3P \) applied at point C. Key dimensions are labeled along the beam: - The segment between points A and D is \( 0.5L \), repeated between D and B, B and C, as well as between A and B, B and C, equaling a total length of 3L. Problem Statement: The task is to determine the value of the support reaction \( By \) (the vertical reaction at point B). A positive value indicates an upward force, whereas a negative value indicates a downward force. Given parameters are: - \( P = 5.7 \, \text{lb} \) - \( M = 27.9 \, \text{lb} \cdot \text{ft} \) - \( L = 3.6 \, \text{ft} \) The answer should be entered with one decimal precision.
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