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A bent bar ABC are supported and subjected to forces as shown below. Find the reactions on the bar at A, B and C. Neglect friction and the weight of the bars. 300 N 25° A B 1.2 m 1.2 m Smooth slot- 50° 400 N 1 m, 1 m

A bent bar ABC are supported and subjected to forces as shown below. Find the reactions on the bar at A, B and C. Neglect friction and the weight of the bars. 300 N 25° A B 1.2 m 1.2 m Smooth slot- 50° 400 N 1 m, 1 m

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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**Question 2: Analyzing Reactions on a Bent Bar ABC** **Problem Statement:** A bent bar ABC is supported and subjected to forces as indicated in the diagram below. Determine the reactions acting on the bar at points A, B, and C. In this analysis, neglect any frictional forces and the weight of the bars. **Diagram Explanation:** **Bar Description:** - The bent bar ABC is connected in a way that it forms two segments: AB and BC. Segment AB is horizontal and BC is inclined. **Support and Forces:** - Point A: The bar is mounted on a roller support allowing horizontal movements without friction. - Point B: This hinge or pin connection can resist forces in any direction, allowing rotation. - Point C: The bar is positioned in a smooth slot inclined at an angle of 50° to the horizontal. **Applied Forces:** - A downward force of 300 N is acting vertically at point B. - An upward force of 400 N is acting vertically at point C. **Dimensions and Angles:** - Horizontal segment AB has a length of 1.2 meters. - Inclined segment BC, also with a projection on the horizontal, has a length of 1.2 meters. - The angle between the segments AB and a horizontal reference point of 25° from the horizontal is inclined at point B. - The smooth slot at point C forms an angle of 50° to the horizontal. **Objective:** To find the reactions at points A, B, and C, we need to analyze the forces and moments acting at each point. **Approach:** 1. Draw a free-body diagram (FBD) illustrating all forces acting on the bar ABC. 2. Apply the equilibrium equations for a static system: - \(\sum F_x = 0 \) (sum of all horizontal forces) - \(\sum F_y = 0 \) (sum of all vertical forces) - \(\sum M = 0 \) (sum of all moments about a point) By solving these equations, you will be able to determine the reaction forces at points A, B, and C. **Contact and Follow-up:** For in-depth analysis, illustrations of free-body diagrams, and step-by-step solutions, please refer to relevant sections in the mechanics or statics textbooks that cover static equilibrium and reactions of supported beams.
Transcribed Image Text:**Question 2: Analyzing Reactions on a Bent Bar ABC** **Problem Statement:** A bent bar ABC is supported and subjected to forces as indicated in the diagram below. Determine the reactions acting on the bar at points A, B, and C. In this analysis, neglect any frictional forces and the weight of the bars. **Diagram Explanation:** **Bar Description:** - The bent bar ABC is connected in a way that it forms two segments: AB and BC. Segment AB is horizontal and BC is inclined. **Support and Forces:** - Point A: The bar is mounted on a roller support allowing horizontal movements without friction. - Point B: This hinge or pin connection can resist forces in any direction, allowing rotation. - Point C: The bar is positioned in a smooth slot inclined at an angle of 50° to the horizontal. **Applied Forces:** - A downward force of 300 N is acting vertically at point B. - An upward force of 400 N is acting vertically at point C. **Dimensions and Angles:** - Horizontal segment AB has a length of 1.2 meters. - Inclined segment BC, also with a projection on the horizontal, has a length of 1.2 meters. - The angle between the segments AB and a horizontal reference point of 25° from the horizontal is inclined at point B. - The smooth slot at point C forms an angle of 50° to the horizontal. **Objective:** To find the reactions at points A, B, and C, we need to analyze the forces and moments acting at each point. **Approach:** 1. Draw a free-body diagram (FBD) illustrating all forces acting on the bar ABC. 2. Apply the equilibrium equations for a static system: - \(\sum F_x = 0 \) (sum of all horizontal forces) - \(\sum F_y = 0 \) (sum of all vertical forces) - \(\sum M = 0 \) (sum of all moments about a point) By solving these equations, you will be able to determine the reaction forces at points A, B, and C. **Contact and Follow-up:** For in-depth analysis, illustrations of free-body diagrams, and step-by-step solutions, please refer to relevant sections in the mechanics or statics textbooks that cover static equilibrium and reactions of supported beams.
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