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Because every joint has more than two unknowns, we will begin by solving for the external reactions. The free- body diagram of the entire structure is shown. Calculate Ay, Ay, and Fy. 7.8 kN 7.8 kN 2 m 2m 2m 2m 2m H. B E 2m 2m 3m 3m 6.8 kN F.

Because every joint has more than two unknowns, we will begin by solving for the external reactions. The free- body diagram of the entire structure is shown. Calculate Ay, Ay, and Fy. 7.8 kN 7.8 kN 2 m 2m 2m 2m 2m H. B E 2m 2m 3m 3m 6.8 kN F.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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How do you find the  finding the theta for the components of Ab?

the equations I have found to solve the problem is...

Ay-FABSin(theta)=0  and -FABCos(theta)+Ax-FAG=0

because Ay is shown in tension and Fab and FAG Is assumed to be in compression. 

round your answers to three decimal places and state if the member is in compression or tension (if the number you find for a member negative the the direction we assumed is wrong)

The free-body diagram for joint A is shown. The diagram is drawn assuming that each member of the truss is in tension. Solve for the forces AB and AG. The forces are positive if in tension, negative if in compression. **Diagram Explanation:** The diagram includes the following elements: - Point A is the joint where forces are being analyzed. - Three forces are acting at point A: - \( A_x \): Horizontal force to the left. - \( A_y \): Vertical force downward. - Force \( AB \): Acting upwards at an angle. - Force \( AG \): Acting horizontally to the right. **Answers:** - \( AB = \) [Input box] kN - \( AG = \) [Input box] kN
Transcribed Image Text:The free-body diagram for joint A is shown. The diagram is drawn assuming that each member of the truss is in tension. Solve for the forces AB and AG. The forces are positive if in tension, negative if in compression. **Diagram Explanation:** The diagram includes the following elements: - Point A is the joint where forces are being analyzed. - Three forces are acting at point A: - \( A_x \): Horizontal force to the left. - \( A_y \): Vertical force downward. - Force \( AB \): Acting upwards at an angle. - Force \( AG \): Acting horizontally to the right. **Answers:** - \( AB = \) [Input box] kN - \( AG = \) [Input box] kN
The diagram presents a truss structure with labeled forces and dimensions. The task is to calculate the external reactions: \( A_x \), \( A_y \), and \( F_y \). ### Free-Body Diagram Explanation: - **Structure**: The truss is a complex polygonal frame with joints labeled B, C, D, E, G, and H. - **Dimensions**: Horizontal members are uniformly 2 meters apart, while the entire base is 6 meters long with partitioning at 3 meters. - **Loads**: - Two vertical loads of 7.8 kN each are applied at points C and D, both directed downwards. - An additional vertical load of 6.8 kN is applied at point G, directed downwards. - **Reactions**: - \( A_x \): Horizontal reaction at the leftmost point (A), directed horizontally to the left. - \( A_y \): Vertical reaction at the leftmost point (A), directed upwards. - \( F_y \): Vertical reaction at the rightmost point (F), directed upwards. The goal is to calculate the reaction forces \( A_x \), \( A_y \), and \( F_y \) using static equilibrium equations for the truss system.
Transcribed Image Text:The diagram presents a truss structure with labeled forces and dimensions. The task is to calculate the external reactions: \( A_x \), \( A_y \), and \( F_y \). ### Free-Body Diagram Explanation: - **Structure**: The truss is a complex polygonal frame with joints labeled B, C, D, E, G, and H. - **Dimensions**: Horizontal members are uniformly 2 meters apart, while the entire base is 6 meters long with partitioning at 3 meters. - **Loads**: - Two vertical loads of 7.8 kN each are applied at points C and D, both directed downwards. - An additional vertical load of 6.8 kN is applied at point G, directed downwards. - **Reactions**: - \( A_x \): Horizontal reaction at the leftmost point (A), directed horizontally to the left. - \( A_y \): Vertical reaction at the leftmost point (A), directed upwards. - \( F_y \): Vertical reaction at the rightmost point (F), directed upwards. The goal is to calculate the reaction forces \( A_x \), \( A_y \), and \( F_y \) using static equilibrium equations for the truss system.
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