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Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work. 7 kN 7 kN/m 11&N-m -3 m-5 m- 10 m- -4 m-

Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work. 7 kN 7 kN/m 11&N-m -3 m-5 m- 10 m- -4 m-

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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### Shear and Moment Diagrams for a Loaded Beam #### Diagram Description: The image shows a horizontally oriented beam labeled with various forces and moments acting on it. Starting from the left, point A is marked, followed by distributed loads and applied moments: - **Point Load:** A concentrated load of 7 kN is applied downward at 3 meters from point A. - **Distributed Load:** A uniformly increasing distributed load of 7 kN/m acts over a span of 10 meters from the 3-meter point. The load distribution resembles a triangular shape. - **Moment:** An applied moment of 116 kN·m is located at the very end of the beam, 4 meters from the end of the distributed load. #### Questions and Calculations: 1. **When x = 2.3 m:** - Shear Force (V) = 15.05 kN - Moment (M) = -21.4 kN·m 2. **When x = 4.4 m:** - Shear Force (V) = 22.4 kN - Moment (M) = -54.276 kN·m 3. **When x = 11.0 m:** - Shear Force (V) = 392 kN - Moment (M) = -28241.05 kN·m 4. **When x = 19.6 m:** - Shear Force (V) and Moment (M) fields are left blank for the user to calculate. #### Maximum Values: - **Maximum (absolute value) shear force in the beam:** \(|V_{\text{max}}| = 392\) kN - **Maximum (absolute value) bending moment in the beam:** \(|M_{\text{max}}| = 28241.05\) kN·m These values are used to assess the critical points along the beam for structural analysis, ensuring safe design and construction.
Transcribed Image Text:### Shear and Moment Diagrams for a Loaded Beam #### Diagram Description: The image shows a horizontally oriented beam labeled with various forces and moments acting on it. Starting from the left, point A is marked, followed by distributed loads and applied moments: - **Point Load:** A concentrated load of 7 kN is applied downward at 3 meters from point A. - **Distributed Load:** A uniformly increasing distributed load of 7 kN/m acts over a span of 10 meters from the 3-meter point. The load distribution resembles a triangular shape. - **Moment:** An applied moment of 116 kN·m is located at the very end of the beam, 4 meters from the end of the distributed load. #### Questions and Calculations: 1. **When x = 2.3 m:** - Shear Force (V) = 15.05 kN - Moment (M) = -21.4 kN·m 2. **When x = 4.4 m:** - Shear Force (V) = 22.4 kN - Moment (M) = -54.276 kN·m 3. **When x = 11.0 m:** - Shear Force (V) = 392 kN - Moment (M) = -28241.05 kN·m 4. **When x = 19.6 m:** - Shear Force (V) and Moment (M) fields are left blank for the user to calculate. #### Maximum Values: - **Maximum (absolute value) shear force in the beam:** \(|V_{\text{max}}| = 392\) kN - **Maximum (absolute value) bending moment in the beam:** \(|M_{\text{max}}| = 28241.05\) kN·m These values are used to assess the critical points along the beam for structural analysis, ensuring safe design and construction.
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