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5/115 Draw the shear and moment diagrams for the beam subjected to the combination of distributed and point loads. Determine the values of the shear force and bending moment at point C, which lies 3 m to the left of B.

5/115 Draw the shear and moment diagrams for the beam subjected to the combination of distributed and point loads. Determine the values of the shear force and bending moment at point C, which lies 3 m to the left of B.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I need help drawing the shear and moment diagrams. And also calculating the values of the shear force and bending moment at point C. the correct answer is given in the diagram but I don't know how to solve for it.

**Problem 5/115: Beam Analysis** **Objective:** Draw the shear and moment diagrams for the beam subjected to a combination of distributed and point loads. Determine the shear force and bending moment at point C, which lies 3 m to the left of B. **Diagram Explanation:** The beam is supported at two points: a pin at point A and a roller at point B, with a total span of 15 meters divided into three segments: - Between A and C: 6 meters (2 m + 4 m) - Between C and B: 6 meters - Beyond B: 3 meters **Loads:** - A point load of 5 kN is applied at 2 meters from the left end (A). - A uniformly distributed load (UDL) of 2 kN/m covers the 4-meter span from 2 m to 6 m. - Another uniformly distributed load (UDL) of 3 kN/m covers the 6-meter span from 6 m to 12 m. - A point load of 4 kN is applied at the right end of the beam (at the 15-meter mark). **Shear and Moment Calculations:** - Shear Force at C, \( V_C = -10.67 \) kN - Bending Moment at C, \( M_C = 33.5 \) kN·m These calculations determine the internal forces within the beam at point C, needed for the design and analysis of the structure. **Note for Students:** Understanding how to calculate shear and moment diagrams is crucial for structural analysis and design. Practice drawing these diagrams and confirm calculations using equilibrium equations.
Transcribed Image Text:**Problem 5/115: Beam Analysis** **Objective:** Draw the shear and moment diagrams for the beam subjected to a combination of distributed and point loads. Determine the shear force and bending moment at point C, which lies 3 m to the left of B. **Diagram Explanation:** The beam is supported at two points: a pin at point A and a roller at point B, with a total span of 15 meters divided into three segments: - Between A and C: 6 meters (2 m + 4 m) - Between C and B: 6 meters - Beyond B: 3 meters **Loads:** - A point load of 5 kN is applied at 2 meters from the left end (A). - A uniformly distributed load (UDL) of 2 kN/m covers the 4-meter span from 2 m to 6 m. - Another uniformly distributed load (UDL) of 3 kN/m covers the 6-meter span from 6 m to 12 m. - A point load of 4 kN is applied at the right end of the beam (at the 15-meter mark). **Shear and Moment Calculations:** - Shear Force at C, \( V_C = -10.67 \) kN - Bending Moment at C, \( M_C = 33.5 \) kN·m These calculations determine the internal forces within the beam at point C, needed for the design and analysis of the structure. **Note for Students:** Understanding how to calculate shear and moment diagrams is crucial for structural analysis and design. Practice drawing these diagrams and confirm calculations using equilibrium equations.
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