Arm ABC is connected by pins to a collar at Band to crank CD at C. Neglect the effect of friction.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Diagram Explanation:**

The image illustrates a mechanical system involving a crank and an arm. The system consists of:

- Arm \( ABC \) connected by pins to a collar at point \( B \) and to crank \( CD \) at \( C \).
- An applied force \( P \) at point \( A \) with a magnitude of 340 N.
- The horizontal distance from \( A \) to the collar \( B \) is 90 mm.
- The vertical height from the ground to point \( B \) is 180 mm.
- The entire length of arm \( ABC \) is 160 mm horizontally from \( A \) to \( C \), and 320 mm vertically.
- Crank \( CD \) has a length of 300 mm horizontally and a vertical height of 125 mm from point \( D \).
- An angle \( \theta \) is formed between the arm \( ABC \) and a horizontal line extending from \( A \).
- A couple \( M \) is applied at point \( D \), working to maintain equilibrium.

**Problem Statement:**

Determine the couple \( M \) needed to keep the system in equilibrium when the angle \( \theta = 0 \).

- Provide the magnitude of the couple \( M \) in N·m, which is to maintain the system's equilibrium when \( \theta = 0 \). The direction of \( M \) is specified as clockwise.

Fill in the following:
- The couple \( M \) required to hold the system in equilibrium when \( \theta = 0 \) is \( \_\_\_\_\_ \) N·m (Clockwise).
Transcribed Image Text:**Diagram Explanation:** The image illustrates a mechanical system involving a crank and an arm. The system consists of: - Arm \( ABC \) connected by pins to a collar at point \( B \) and to crank \( CD \) at \( C \). - An applied force \( P \) at point \( A \) with a magnitude of 340 N. - The horizontal distance from \( A \) to the collar \( B \) is 90 mm. - The vertical height from the ground to point \( B \) is 180 mm. - The entire length of arm \( ABC \) is 160 mm horizontally from \( A \) to \( C \), and 320 mm vertically. - Crank \( CD \) has a length of 300 mm horizontally and a vertical height of 125 mm from point \( D \). - An angle \( \theta \) is formed between the arm \( ABC \) and a horizontal line extending from \( A \). - A couple \( M \) is applied at point \( D \), working to maintain equilibrium. **Problem Statement:** Determine the couple \( M \) needed to keep the system in equilibrium when the angle \( \theta = 0 \). - Provide the magnitude of the couple \( M \) in N·m, which is to maintain the system's equilibrium when \( \theta = 0 \). The direction of \( M \) is specified as clockwise. Fill in the following: - The couple \( M \) required to hold the system in equilibrium when \( \theta = 0 \) is \( \_\_\_\_\_ \) N·m (Clockwise).
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