Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question

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.
expand button
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.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY