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9-5. Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figure. Assume A and C are rollers and B is a pin. Take E 200 GPa. A 20 kN 20 KN LAB= 120(106) mm² m3 m3 m -3 m- 40 kN [B IBC = 90(106) mm -4 m -4 m nTC

9-5. Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figure. Assume A and C are rollers and B is a pin. Take E 200 GPa. A 20 kN 20 KN LAB= 120(106) mm² m3 m3 m -3 m- 40 kN [B IBC = 90(106) mm -4 m -4 m nTC

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figurc. Assume A and C are rollers and B is a pin. Take E=200 GPa.

**9–5. Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figure. Assume A and C are rollers and B is a pin. Take E = 200 GPa.** **Figure Details:** The diagram shows a beam supported at three points: A, B, and C. - **Supports:** - Point A and C are roller supports. - Point B is a pin support. - **Loads:** - A vertical load of 20 kN is applied downward at a position 3 meters from support A. - Another vertical load of 20 kN is applied downward 6 meters from A (3 meters from B). - A vertical load of 40 kN is applied downward 12 meters from A (4 meters from C). - **Beam Lengths:** - The section AB is 6 meters long. - The section BC is 8 meters long. - **Moments of Inertia:** - \( I_{AB} = 120 \times 10^6 \, \text{mm}^4 \) - \( I_{BC} = 90 \times 10^6 \, \text{mm}^4 \) **Material Property:** - Modulus of Elasticity \( E = 200 \, \text{GPa} \) This structure requires calculating reaction forces at the supports and subsequently drawing a moment diagram based on the given loading conditions and geometrical properties.
Transcribed Image Text:**9–5. Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figure. Assume A and C are rollers and B is a pin. Take E = 200 GPa.** **Figure Details:** The diagram shows a beam supported at three points: A, B, and C. - **Supports:** - Point A and C are roller supports. - Point B is a pin support. - **Loads:** - A vertical load of 20 kN is applied downward at a position 3 meters from support A. - Another vertical load of 20 kN is applied downward 6 meters from A (3 meters from B). - A vertical load of 40 kN is applied downward 12 meters from A (4 meters from C). - **Beam Lengths:** - The section AB is 6 meters long. - The section BC is 8 meters long. - **Moments of Inertia:** - \( I_{AB} = 120 \times 10^6 \, \text{mm}^4 \) - \( I_{BC} = 90 \times 10^6 \, \text{mm}^4 \) **Material Property:** - Modulus of Elasticity \( E = 200 \, \text{GPa} \) This structure requires calculating reaction forces at the supports and subsequently drawing a moment diagram based on the given loading conditions and geometrical properties.
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