**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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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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Concept explainers

Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.

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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