**Problem 4-6: Beam Analysis****Objective:** Determine the internal normal force, shear force, and bending moment in the beam at points C and D.**Description:**- The beam is supported at two points: A and B.- Support at A is a pin, while support at B is a roller.- There is a linearly distributed load applied across the beam.- From the left end at point A, the load is 18 kN/m and decreases linearly to 9 kN/m at the right end.**Dimensions:**- The beam is divided into three segments, each 3 meters long: - Section from A to D: 3 meters. - Section from D to B: 3 meters. - Section from B to C: 3 meters. **Points of Interest:**- Point C is located just to the left of the roller support at B.- Analysis is required at points C and D for internal forces and moments.**Diagram Explanation:**- The beam is shown horizontally with supports depicted at points A (fixed pin) and B (roller).- The distributed load is represented by arrows pointing downwards across the beam, indicating the magnitude ranging from 18 kN/m to 9 kN/m.- Reference points A, B, C, and D are marked along the beam, each separated by 3 meters.**Task:** Analyze when and where the normal force, shear force, and bending moment occur at specified points under the given loading conditions.

Answered: Image /qna-images/answer/c760ab08-c545-4499-90c4-b5c2e1416c36.jpg

4-6. Determine the internal normal force, shear force, and bending moment in the beam at points C and D. Point C is located just to the left of the roller support. Assume the support at B is a roller and A is a pin. 18 kN/m 16 A 3 m D - 3 m Prob. 4-6 B C 3 m 9 kN/m

4-6. Determine the internal normal force, shear force, and bending moment in the beam at points C and D. Point C is located just to the left of the roller support. Assume the support at B is a roller and A is a pin. 18 kN/m 16 A 3 m D - 3 m Prob. 4-6 B C 3 m 9 kN/m

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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Question

**Problem 4-6: Beam Analysis**

**Objective:** Determine the internal normal force, shear force, and bending moment in the beam at points C and D.

**Description:**
- The beam is supported at two points: A and B.
- Support at A is a pin, while support at B is a roller.
- There is a linearly distributed load applied across the beam.
- From the left end at point A, the load is 18 kN/m and decreases linearly to 9 kN/m at the right end.

**Dimensions:**
- The beam is divided into three segments, each 3 meters long:
- Section from A to D: 3 meters.
- Section from D to B: 3 meters.
- Section from B to C: 3 meters.

**Points of Interest:**
- Point C is located just to the left of the roller support at B.
- Analysis is required at points C and D for internal forces and moments.

**Diagram Explanation:**
- The beam is shown horizontally with supports depicted at points A (fixed pin) and B (roller).
- The distributed load is represented by arrows pointing downwards across the beam, indicating the magnitude ranging from 18 kN/m to 9 kN/m.
- Reference points A, B, C, and D are marked along the beam, each separated by 3 meters.

**Task:** Analyze when and where the normal force, shear force, and bending moment occur at specified points under the given loading conditions.

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