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Q1/A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to the shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. B T 400 mm 350 mm Į A 600 N [20⁰ ** 20 200 mm 160 mm

Q1/A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to the shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. B T 400 mm 350 mm Į A 600 N [20⁰ ** 20 200 mm 160 mm

Structural Analysis
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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### Problem Statement **Q1:** A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to the shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. ### Diagram Explanation The diagram associated with the problem illustrates the following key components and measurements: - **Lever AB**: This is a rigid lever system pivoted at a fixed point A. - **Distance and Force**: Point B is at the end of the lever, 600 N of horizontal force is applied here. - **Brake Shoe and Drum**: A brake shoe is fixed to the lever AB, and it makes contact with the drum. - **Drum Radius**: The radius of the drum is given as 160 mm. - **Geometric Angles**: The diagram shows the drum rotating clockwise, with the lever making an angle, causing a reaction force through the brake lining. - **Distances on the lever AB**: - Vertical distance from point A to the center of the drum: 200 mm. - Vertical height of the point B from the horizontal line passing through the center: 400 mm. - Height of the bottom of the drum within the vertical line through point A to the belt shoe: 350 mm. ### Calculation Elements To solve the problem, we need to calculate the braking torque using the given parameters: - Lever arm lengths and angles will be used to find effective forces. - The coefficient of friction at the brake lining will factor into the torque calculation. - The horizontal force applied at point B will transition into a component contributing to the braking effect. ### Steps to Solution 1. Determine the leverage generated by the horizontal force. 2. Decompose forces into perpendicular components where necessary. 3. Integrate the frictional effect into the torque calculation. 4. Sum torques to find net braking torque. This problem involves principles of statics and dynamics in mechanical systems, requiring a balanced approach to leverage and friction for solving the torque calculations effectively.
Transcribed Image Text:### Problem Statement **Q1:** A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to the shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. ### Diagram Explanation The diagram associated with the problem illustrates the following key components and measurements: - **Lever AB**: This is a rigid lever system pivoted at a fixed point A. - **Distance and Force**: Point B is at the end of the lever, 600 N of horizontal force is applied here. - **Brake Shoe and Drum**: A brake shoe is fixed to the lever AB, and it makes contact with the drum. - **Drum Radius**: The radius of the drum is given as 160 mm. - **Geometric Angles**: The diagram shows the drum rotating clockwise, with the lever making an angle, causing a reaction force through the brake lining. - **Distances on the lever AB**: - Vertical distance from point A to the center of the drum: 200 mm. - Vertical height of the point B from the horizontal line passing through the center: 400 mm. - Height of the bottom of the drum within the vertical line through point A to the belt shoe: 350 mm. ### Calculation Elements To solve the problem, we need to calculate the braking torque using the given parameters: - Lever arm lengths and angles will be used to find effective forces. - The coefficient of friction at the brake lining will factor into the torque calculation. - The horizontal force applied at point B will transition into a component contributing to the braking effect. ### Steps to Solution 1. Determine the leverage generated by the horizontal force. 2. Decompose forces into perpendicular components where necessary. 3. Integrate the frictional effect into the torque calculation. 4. Sum torques to find net braking torque. This problem involves principles of statics and dynamics in mechanical systems, requiring a balanced approach to leverage and friction for solving the torque calculations effectively.
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