3) A cantilevered truss is loaded as shown to the left. First, determine the support reactions. Second, using method of sections determine the force in member 6 kN 1.2 m B 1.2 m AB. Specify tension (T) or compression (С). Ans: A = 16 kN (), C = 16 kN (→), A, = 9 N (1), FAB = 4 kN (T) 3 kN 0.9 m E

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Cantilevered Truss Analysis**

This image shows a diagram of a cantilevered truss along with a problem statement and solution.

**Diagram Details:**
- The truss structure includes joints labeled A, B, C, D, and E.
- Member AB is horizontal with a length of 1.2 meters.
- Member BD is vertical with a length of 1.2 meters.
- Member DE is vertical with a length of 0.9 meters.
- The loads on the truss include a 6 kN force acting downward at joint B and a 3 kN force acting downward at joint E.
- Support reactions occur at joints A and C, with A being a pinned support and C being a roller support.

**Problem Statement:**
3) A cantilevered truss is loaded as shown to the left. 
- First, determine the support reactions.
- Second, using the method of sections, determine the force in member AB. Specify tension (T) or compression (C).

**Solution:**
- \( A_x = 16 \, \text{kN} \) (acting to the left)
- \( C_x = 16 \, \text{kN} \) (acting to the right)
- \( A_y = 9 \, \text{N} \) (acting upward)
- \( F_{AB} = 4 \, \text{kN} \) (Tension, T)

This illustration and solution demonstrate the application of static equilibrium equations to solve for unknown forces in a structural member, particularly analyzing members under tension and compression within a cantilevered truss.
Transcribed Image Text:**Cantilevered Truss Analysis** This image shows a diagram of a cantilevered truss along with a problem statement and solution. **Diagram Details:** - The truss structure includes joints labeled A, B, C, D, and E. - Member AB is horizontal with a length of 1.2 meters. - Member BD is vertical with a length of 1.2 meters. - Member DE is vertical with a length of 0.9 meters. - The loads on the truss include a 6 kN force acting downward at joint B and a 3 kN force acting downward at joint E. - Support reactions occur at joints A and C, with A being a pinned support and C being a roller support. **Problem Statement:** 3) A cantilevered truss is loaded as shown to the left. - First, determine the support reactions. - Second, using the method of sections, determine the force in member AB. Specify tension (T) or compression (C). **Solution:** - \( A_x = 16 \, \text{kN} \) (acting to the left) - \( C_x = 16 \, \text{kN} \) (acting to the right) - \( A_y = 9 \, \text{N} \) (acting upward) - \( F_{AB} = 4 \, \text{kN} \) (Tension, T) This illustration and solution demonstrate the application of static equilibrium equations to solve for unknown forces in a structural member, particularly analyzing members under tension and compression within a cantilevered truss.
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