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A B D P IT ac 000 C

A B D P IT ac 000 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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how do we use method of joints?

**Problem 6-10** The maximum allowable tensile force in the members of the truss is \((F_t)_{\text{max}} = 1500 \, \text{lb}\), and the maximum allowable compressive force is \((F_c)_{\text{max}} = 800 \, \text{lb}\). Determine the maximum magnitude \(P\) of the two loads that can be applied to the truss. Take \(a = 8 \, \text{ft}\). **Diagram Explanation:** The diagram shows a symmetric truss with points labeled \(A\), \(B\), \(C\), and \(D\). The truss is structured with two sloping members from \(A\) to \(B\) and \(B\) to \(C\), and a horizontal member \(AD\) at the bottom. The load \(P\) is applied at point \(D\) vertically downward, and another \(P\) is applied horizontally to the right at point \(B\). - The base of the truss, \(AC\), is divided into two equal sections of length \(a\) each, making \(AB = BC = a = 8 \, \text{ft}\). - Vertical sections \(BD\) and \(DC\) are shown, at heights \(\frac{3}{4}a\) and \(\frac{1}{4}a\) respectively. **Conclusion:** The task is to calculate the maximum force \(P\) applied at points \(B\) and \(D\) while adhering to the tensile and compressive force limits in the truss members.
Transcribed Image Text:**Problem 6-10** The maximum allowable tensile force in the members of the truss is \((F_t)_{\text{max}} = 1500 \, \text{lb}\), and the maximum allowable compressive force is \((F_c)_{\text{max}} = 800 \, \text{lb}\). Determine the maximum magnitude \(P\) of the two loads that can be applied to the truss. Take \(a = 8 \, \text{ft}\). **Diagram Explanation:** The diagram shows a symmetric truss with points labeled \(A\), \(B\), \(C\), and \(D\). The truss is structured with two sloping members from \(A\) to \(B\) and \(B\) to \(C\), and a horizontal member \(AD\) at the bottom. The load \(P\) is applied at point \(D\) vertically downward, and another \(P\) is applied horizontally to the right at point \(B\). - The base of the truss, \(AC\), is divided into two equal sections of length \(a\) each, making \(AB = BC = a = 8 \, \text{ft}\). - Vertical sections \(BD\) and \(DC\) are shown, at heights \(\frac{3}{4}a\) and \(\frac{1}{4}a\) respectively. **Conclusion:** The task is to calculate the maximum force \(P\) applied at points \(B\) and \(D\) while adhering to the tensile and compressive force limits in the truss members.
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