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.

Moment of Inertia Moment of inertia is the quantity that describes how a body resists angular…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

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.

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