Knowing the vertical reaction at the roller support at C of the beam shown is 12.5 kN upward, determine the requested algebraic expressions for shear and moment (in terms of the variable x), using the proper sign conventions established for drawing the shear and bending moment diagrams.(a) The shear and moment equations (in terms of the variable x) for the left region of the beam between points A and B, using the F.B.D. of the left-side of your considered cut section(b) The shear and moment equations (in terms of the variable x) for the right region of the beam between points B and C using the F.B.D. of the right-side of your considered cut section.please show all steps and FBD. The image depicts a beam supported at two points, labeled as A and C, with a uniformly distributed load and a moment applied to it.- **Beam Configuration**: The beam is 20 meters long, divided into two segments, AB and BC, each measuring 10 meters.- **Supports**: - Point A has a triangular support symbolizing a pin support. - Point C has a flat support, indicating a roller support.- **Load**: - There is a uniformly distributed load of \(2 \, \text{kN/m}\) applied over the entire span of the beam (from A to C). - **Moment**: - A moment of \(150 \, \text{kN} \cdot \text{m}\) is applied at point C, tending to rotate the beam clockwise.- **Axes**: An x-axis is shown with a rightward arrow, indicating the horizontal positive direction.The diagram is utilized for structural analysis, specifically to determine reactions at the supports and internal forces/moments within the beam.

In this problem, the supports are replaced by reactions as shown in Fig.1

Answered: Knowing the vertical reaction at the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Knowing the vertical reaction at the roller support at C of the beam shown is 12.5 kN upward, determine the requested algebraic expressions for shear and moment (in terms of the variable x), using the proper sign conventions established for drawing the shear and bending moment diagrams.

(a) The shear and moment equations (in terms of the variable x) for the left region of the beam between points A and B, using the F.B.D. of the left-side of your considered cut section

(b) The shear and moment equations (in terms of the variable x) for the right region of the beam between points B and C using the F.B.D. of the right-side of your considered cut section.

please show all steps and FBD.

The image depicts a beam supported at two points, labeled as A and C, with a uniformly distributed load and a moment applied to it.

- **Beam Configuration**: The beam is 20 meters long, divided into two segments, AB and BC, each measuring 10 meters.

- **Supports**:
- Point A has a triangular support symbolizing a pin support.
- Point C has a flat support, indicating a roller support.

- **Load**:
- There is a uniformly distributed load of \(2 \, \text{kN/m}\) applied over the entire span of the beam (from A to C).

- **Moment**:
- A moment of \(150 \, \text{kN} \cdot \text{m}\) is applied at point C, tending to rotate the beam clockwise.

- **Axes**: An x-axis is shown with a rightward arrow, indicating the horizontal positive direction.

The diagram is utilized for structural analysis, specifically to determine reactions at the supports and internal forces/moments within the beam.

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