I keep getting stuck on the moment diagram for this problem. How do I solve it? For the beam shown, the magnitude of the concentrated load is \( P = 29 \, \text{kN} \), the magnitude of the couple is \( M_B = 240 \, \text{kN} \cdot \text{m} \), and the beam lengths are \( a = 4.0 \, \text{m} \) and \( b = 12.0 \, \text{m} \).(a) Derive equations for the shear force \( V \) and the bending moment \( M \) for any location in the beam. Place the origin at point \( A \). (b) Use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the maximum magnitude of the shear force and the maximum magnitude of the bending moment.**Diagram Explanation:** The diagram shows a horizontal beam with a point \( A \) at the left end and a point \( B \) in the middle. A point \( C \) is located at the right end where the beam connects to a fixed support. A concentrated load \( P \) is applied downward at point \( A \). A moment \( M_B \) is applied as a couple at point \( B \) in a counterclockwise direction. The distance from \( A \) to \( B \) is \( a = 4.0 \, \text{m} \) and from \( B \) to \( C \) is \( b = 12.0 \, \text{m} \).**Answer:** \( V_{\text{max}} = 29 \, \text{kN} \) \( M_{\text{max}} = -124 \, \text{kN} \cdot \text{m} \)

Answered: Image /qna-images/answer/81b12980-9fb4-4c12-9112-456ff234a095.jpg

Answered: ns are a = 4.0 m and b = D

Engineering

Mechanical Engineering

ns are a = 4.0 m and b = D

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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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

I keep getting stuck on the moment diagram for this problem. How do I solve it?

For the beam shown, the magnitude of the concentrated load is \( P = 29 \, \text{kN} \), the magnitude of the couple is \( M_B = 240 \, \text{kN} \cdot \text{m} \), and the beam lengths are \( a = 4.0 \, \text{m} \) and \( b = 12.0 \, \text{m} \).

(a) Derive equations for the shear force \( V \) and the bending moment \( M \) for any location in the beam. Place the origin at point \( A \).
(b) Use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the maximum magnitude of the shear force and the maximum magnitude of the bending moment.

**Diagram Explanation:**
The diagram shows a horizontal beam with a point \( A \) at the left end and a point \( B \) in the middle. A point \( C \) is located at the right end where the beam connects to a fixed support. A concentrated load \( P \) is applied downward at point \( A \). A moment \( M_B \) is applied as a couple at point \( B \) in a counterclockwise direction. The distance from \( A \) to \( B \) is \( a = 4.0 \, \text{m} \) and from \( B \) to \( C \) is \( b = 12.0 \, \text{m} \).

**Answer:**
\( V_{\text{max}} = 29 \, \text{kN} \)
\( M_{\text{max}} = -124 \, \text{kN} \cdot \text{m} \)

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