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Ax =? and Ay = ? Bx = ? and By = ?

Ax =? and Ay = ? Bx = ? and By = ?

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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Ax =? and Ay = ?

Bx = ? and By = ?

The image depicts a structural truss system labeled as Figure P6.5. It includes a combination of horizontal and diagonal members forming a triangular framework. - **Points and Members**: - The truss consists of nodes labeled A, B, C, and D connected by beams. - Members AB, AC, AD, and CD are diagonal beams, while BC and BD are horizontal. - **Dimensions**: - The vertical height from point B to point A is given as 5 feet. - The horizontal distance between points B to C and C to D is 10 feet each. - **Forces**: - Two downward forces of 10 kips each are acting at points C and D. This truss setup is commonly analyzed in structural engineering to understand force distribution and to ensure stability and strength of structures.
Transcribed Image Text:The image depicts a structural truss system labeled as Figure P6.5. It includes a combination of horizontal and diagonal members forming a triangular framework. - **Points and Members**: - The truss consists of nodes labeled A, B, C, and D connected by beams. - Members AB, AC, AD, and CD are diagonal beams, while BC and BD are horizontal. - **Dimensions**: - The vertical height from point B to point A is given as 5 feet. - The horizontal distance between points B to C and C to D is 10 feet each. - **Forces**: - Two downward forces of 10 kips each are acting at points C and D. This truss setup is commonly analyzed in structural engineering to understand force distribution and to ensure stability and strength of structures.
Expert Solution
Step 1

Given data:

  • Load acting vertically downward at point C, PC = 10 kips.
  • Load acting vertically downward at point D, PD = 10 kips.

Draw the free-body diagram of the system,

Mechanical Engineering homework question answer, step 1, image 1

Since point B is supported by roller support, so the vertical reaction By is zero.

Therefore, the vertical reaction force at point B is By = 0 kips.

Apply equilibrium equation of forces in the horizontal x-direction,

∑Fx=0Ax+Bx=0Ax=-Bx               .....................(1)

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