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Assume that each member has a cross-sectional area of A = 1.25 in.2 and an elastic modulus of E = 10,000 ksi. The loads acting on the truss are P = 21 kips and Q = 7 kips. Determine the horizontal displacement of joint A.

Assume that each member has a cross-sectional area of A = 1.25 in.2 and an elastic modulus of E = 10,000 ksi. The loads acting on the truss are P = 21 kips and Q = 7 kips. Determine the horizontal displacement of joint A.

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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Assume that each member has a cross-sectional area of A = 1.25 in.2 and an elastic modulus of E
= 10,000 ksi. The loads acting on the truss are P = 21 kips and Q = 7 kips. Determine the horizontal
displacement of joint A. 

**Problem 4:** Assume that each member has a cross-sectional area of \( A = 1.25 \, \text{in.}^2 \) and an elastic modulus of \( E = 10,000 \, \text{ksi}. \) The loads acting on the truss are \( P = 21 \, \text{kips} \) and \( Q = 7 \, \text{kips}. \) Determine the horizontal displacement of joint \( A \). **Diagram Explanation:** The diagram illustrates a truss structure with three main joints: \( A \), \( B \), and \( C \). The truss is supported at joints \( A \) and \( C \), with joint \( B \) elevated vertically above the line connecting \( A \) and \( C \). - **Distances and Dimensions:** - The horizontal distance between joints \( A \) and \( B \) is 6.5 ft. - The horizontal distance between joints \( B \) and \( C \) is 5 ft. - The vertical distance from the line \( AC \) to joint \( B \) is 4.5 ft. - **Forces:** - A horizontal load \( Q = 7 \, \text{kips} \) is applied at joint \( B \) directed towards the left. - A vertical load \( P = 21 \, \text{kips} \) is applied at joint \( B \) directed downward. - The global coordinate system is represented with the \( x \)-axis pointing to the right and the \( y \)-axis pointing upward.
Transcribed Image Text:**Problem 4:** Assume that each member has a cross-sectional area of \( A = 1.25 \, \text{in.}^2 \) and an elastic modulus of \( E = 10,000 \, \text{ksi}. \) The loads acting on the truss are \( P = 21 \, \text{kips} \) and \( Q = 7 \, \text{kips}. \) Determine the horizontal displacement of joint \( A \). **Diagram Explanation:** The diagram illustrates a truss structure with three main joints: \( A \), \( B \), and \( C \). The truss is supported at joints \( A \) and \( C \), with joint \( B \) elevated vertically above the line connecting \( A \) and \( C \). - **Distances and Dimensions:** - The horizontal distance between joints \( A \) and \( B \) is 6.5 ft. - The horizontal distance between joints \( B \) and \( C \) is 5 ft. - The vertical distance from the line \( AC \) to joint \( B \) is 4.5 ft. - **Forces:** - A horizontal load \( Q = 7 \, \text{kips} \) is applied at joint \( B \) directed towards the left. - A vertical load \( P = 21 \, \text{kips} \) is applied at joint \( B \) directed downward. - The global coordinate system is represented with the \( x \)-axis pointing to the right and the \( y \)-axis pointing upward.
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