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50 in. B 6.C1 For the loading shown, determine the force in each member of the truss as a function of the dimension a. Plot the force in each member for 40 in. as 240 in., with tensile forces plotted as positive and compressive forces as negative. 160 in, 25 kips Fig. P6.C1

50 in. B 6.C1 For the loading shown, determine the force in each member of the truss as a function of the dimension a. Plot the force in each member for 40 in. as 240 in., with tensile forces plotted as positive and compressive forces as negative. 160 in, 25 kips Fig. P6.C1

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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**Truss Force Analysis and Plotting** **Problem 6.C1** **Objective:** Determine the force in each member of the truss as a function of the dimension \( a \). **Parameters:** - Plot the force in each member for \( 40 \, \text{in.} \le a \le 240 \, \text{in.} \). - Tensile forces are plotted as positive and compressive forces as negative. **Diagram Explanation:** The diagram shows a triangular truss ABC. The members are arranged as follows: - \( AB \) and \( BC \) are the diagonal members. - \( AC \) is the horizontal member. **Dimensions:** - Distance from point A vertically to B is 50 inches. - Distance from point B vertically to C is 160 inches. - The horizontal distance from support at A to B is marked as \( a \). **Loading:** - There is a downward load of 25 kips acting at point B. **Support:** - The truss is supported horizontally and vertically at point A and vertically at point C. The task is to calculate the forces in each member (AB, BC, and AC) while varying the dimension \( a \) within the given range, and to plot these forces considering their nature (tensile or compressive).
Transcribed Image Text:**Truss Force Analysis and Plotting** **Problem 6.C1** **Objective:** Determine the force in each member of the truss as a function of the dimension \( a \). **Parameters:** - Plot the force in each member for \( 40 \, \text{in.} \le a \le 240 \, \text{in.} \). - Tensile forces are plotted as positive and compressive forces as negative. **Diagram Explanation:** The diagram shows a triangular truss ABC. The members are arranged as follows: - \( AB \) and \( BC \) are the diagonal members. - \( AC \) is the horizontal member. **Dimensions:** - Distance from point A vertically to B is 50 inches. - Distance from point B vertically to C is 160 inches. - The horizontal distance from support at A to B is marked as \( a \). **Loading:** - There is a downward load of 25 kips acting at point B. **Support:** - The truss is supported horizontally and vertically at point A and vertically at point C. The task is to calculate the forces in each member (AB, BC, and AC) while varying the dimension \( a \) within the given range, and to plot these forces considering their nature (tensile or compressive).
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