Consider the overhang beam shown in (Figure 1). Suppose that P = 6 kN, M= 6 kN⋅m, w= 4 kN/m. Point D is located just to the left of the roller support at BB, where the couple moment acts. Follow the sign convention.   Part A Determine the internal normal force at point D. Express your answer to three significant figures and include the appropriate units.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter5: Beams And Frames: Shear And Bending Moment
Section: Chapter Questions
Problem 53P: For the beam shown: (a) determine the distance a for which the maximum positive and negative bending...
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Consider the overhang beam shown in (Figure 1). Suppose that P = 6 kN, M= 6 kN⋅m, w= 4 kN/m. Point D is located just to the left of the roller support at BB, where the couple moment acts. Follow the sign convention.

 

Part A

Determine the internal normal force at point D.
Express your answer to three significant figures and include the appropriate units.
 

Part B

Determine the internal shear force at point D.
Express your answer to three significant figures and include the appropriate units.
 

Part C

Determine the internal moment at point D.
Express your answer to three significant figures and include the appropriate units.
 

Part D

Determine the internal normal force at point E.
Express your answer to three significant figures and include the appropriate units.
 

Part E

Determine the internal shear force at point E.
Express your answer to three significant figures and include the appropriate units.
 

Part F

Determine the internal moment at point E.
Express your answer to three significant figures and include the appropriate units.
The diagram illustrates a cantilever beam setup. 

- **Beam Structure**: The horizontal beam is anchored at point A and extends to point C.
- **Dimensions**: The beam from A to B is 3 meters, from B to D is 1.5 meters, and from D to E is 1.5 meters.
- **Loads and Moments**: 
  - A uniformly distributed load (w) acts downward along the beam.
  - A moment (M) is applied at point B.
- **Support and Reaction**: The beam at point A is fixed to a wall.
- **External Force**: 
  - At point C, a cable is attached creating a tension force (P) with a directional angle defined by a 3-4-5 triangle.
- **Additional Details**: A blue curved arrow at point B suggests rotation or moment action.

This representation is useful for analyzing beam reactions, shear forces, bending moments, and deflection.
Transcribed Image Text:The diagram illustrates a cantilever beam setup. - **Beam Structure**: The horizontal beam is anchored at point A and extends to point C. - **Dimensions**: The beam from A to B is 3 meters, from B to D is 1.5 meters, and from D to E is 1.5 meters. - **Loads and Moments**: - A uniformly distributed load (w) acts downward along the beam. - A moment (M) is applied at point B. - **Support and Reaction**: The beam at point A is fixed to a wall. - **External Force**: - At point C, a cable is attached creating a tension force (P) with a directional angle defined by a 3-4-5 triangle. - **Additional Details**: A blue curved arrow at point B suggests rotation or moment action. This representation is useful for analyzing beam reactions, shear forces, bending moments, and deflection.
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