**Step 3: Step-by-Step Calculation** **Detailed Explanation:** 1. **Support Reactions:** - The truss has a pin support at **A** and a roller support at **E**. - A vertical load of **100 kN** is applied at point **J**. Using moments about **A** to find the reaction at **E**: \[ \sum M_A = 0 \] - The load at **J** causes a moment about **A**: \[ E_y \times 8\, \text{m} - 100\, \text{kN} \times 8\, \text{m} = 0 \] \[ E_y = \frac{100 \times 8}{8} = 100\, \text{kN} \] - Vertical equilibrium: \[ A_y + E_y = 100\, \text{kN} \] \[ A_y + 100 = 100 \] \[ A_y = 0 \] 2. **Cutting the Truss:** - Cut through members **CF**, **BC**, and **FG**. - The cut divides the truss into two parts; analyze the **left section**. 3. **Analyzing the Left Section:** - Known: - Support reactions: \(A_y = 0\), \(E_y = 100\, \text{kN}\) - Member forces to find: **CF**, **BC**, **FG** - Assign coordinates: - F at (2,0) - C at (4,1) - B at (2,1) - G at (4,0) write the explanation in text in 4 to lines
Question:
**Step 3: Step-by-Step Calculation** **Detailed Explanation:** 1. **Support Reactions:** - The truss has a pin support at **A** and a roller support at **E**. - A vertical load of **100 kN** is applied at point **J**. Using moments about **A** to find the reaction at **E**: \[ \sum M_A = 0 \] - The load at **J** causes a moment about **A**: \[ E_y \times 8\, \text{m} - 100\, \text{kN} \times 8\, \text{m} = 0 \] \[ E_y = \frac{100 \times 8}{8} = 100\, \text{kN} \] - Vertical equilibrium: \[ A_y + E_y = 100\, \text{kN} \] \[ A_y + 100 = 100 \] \[ A_y = 0 \] 2. **Cutting the Truss:** - Cut through members **CF**, **BC**, and **FG**. - The cut divides the truss into two parts; analyze the **left section**. 3. **Analyzing the Left Section:** - Known: - Support reactions: \(A_y = 0\), \(E_y = 100\, \text{kN}\) - Member forces to find: **CF**, **BC**, **FG** - Assign coordinates: - F at (2,0) - C at (4,1) - B at (2,1) - G at (4,0) write the explanation in text in 4 to lines
Asked by: Kumar
Created at: 2025-07-27 15:10:04
Final Answer:
📢 Instructions:
- Ask anything relatd to above question only.
- For new Question goto :
VIPSolutions