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The frame is loaded as shown. The 150 lb/ft distributed load is perpendicular to member AC. The supports at A and B are pins. Determine the horizontal and vertical components of reactional forces at pins A and B. Also determine the horizontal and vertical components of reaction that the pin C exerts on member BC. Present a FBD for every analysis performed. 4 ft 4 ft 6 ft B 0.5 ft 150 lb/ft 1.5 ft -240 lb C

The frame is loaded as shown. The 150 lb/ft distributed load is perpendicular to member AC. The supports at A and B are pins. Determine the horizontal and vertical components of reactional forces at pins A and B. Also determine the horizontal and vertical components of reaction that the pin C exerts on member BC. Present a FBD for every analysis performed. 4 ft 4 ft 6 ft B 0.5 ft 150 lb/ft 1.5 ft -240 lb C

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Frame Analysis with Distributed Load** The frame is loaded as shown in the figure. The 150 lb/ft distributed load is perpendicular to member AC. The supports at A and B are pins. Determine the horizontal and vertical components of reactional forces at pins A and B. Also, determine the horizontal and vertical components of reaction that the pin C exerts on member BC. Present a Free Body Diagram (FBD) for every analysis performed. ### Diagram Explanation - The frame is a triangular structure with points A, B, and C. - Point A is at the bottom left with a vertical distance of 6 ft from point B. - Point B is directly horizontal to point A with a 6 ft vertical member connecting them. - Member AC is slanted with a distributed load of 150 lb/ft applied perpendicularly. - Point C is 4 ft horizontally to the right from the top of the vertical member (point B). - A 240 lb vertical load is applied 0.5 ft to the right of a vertical support member, which is 4 ft from point B (making it at point C). - The diagram also shows details about the positions and lengths, where the vertical support member stands 1.5 ft from point C along member BC. This structural analysis involves breaking down the forces into their horizontal and vertical components and creating Free Body Diagrams (FBD) to clearly represent and solve these reactions. ### Free Body Diagram (FBD) Instructions 1. **Identify Supports and Loads**: Draw the frame and identify all supports and loads. Include dimensions. 2. **Break Down Forces**: Separate the forces into horizontal and vertical components. 3. **Apply Equilibrium Equations**: Use the statics equilibrium equations to solve for the unknown reaction forces: - ΣFx = 0 (sum of horizontal forces) - ΣFy = 0 (sum of vertical forces) - ΣM = 0 (sum of moments) This methodical approach ensures accurate determination of reaction forces translating complex structures into solvable standard problems.
Transcribed Image Text:**Frame Analysis with Distributed Load** The frame is loaded as shown in the figure. The 150 lb/ft distributed load is perpendicular to member AC. The supports at A and B are pins. Determine the horizontal and vertical components of reactional forces at pins A and B. Also, determine the horizontal and vertical components of reaction that the pin C exerts on member BC. Present a Free Body Diagram (FBD) for every analysis performed. ### Diagram Explanation - The frame is a triangular structure with points A, B, and C. - Point A is at the bottom left with a vertical distance of 6 ft from point B. - Point B is directly horizontal to point A with a 6 ft vertical member connecting them. - Member AC is slanted with a distributed load of 150 lb/ft applied perpendicularly. - Point C is 4 ft horizontally to the right from the top of the vertical member (point B). - A 240 lb vertical load is applied 0.5 ft to the right of a vertical support member, which is 4 ft from point B (making it at point C). - The diagram also shows details about the positions and lengths, where the vertical support member stands 1.5 ft from point C along member BC. This structural analysis involves breaking down the forces into their horizontal and vertical components and creating Free Body Diagrams (FBD) to clearly represent and solve these reactions. ### Free Body Diagram (FBD) Instructions 1. **Identify Supports and Loads**: Draw the frame and identify all supports and loads. Include dimensions. 2. **Break Down Forces**: Separate the forces into horizontal and vertical components. 3. **Apply Equilibrium Equations**: Use the statics equilibrium equations to solve for the unknown reaction forces: - ΣFx = 0 (sum of horizontal forces) - ΣFy = 0 (sum of vertical forces) - ΣM = 0 (sum of moments) This methodical approach ensures accurate determination of reaction forces translating complex structures into solvable standard problems.
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