Shear force and bending moment diagram

In summary, the conversation is about a homework assignment involving drawing a FBD, SFD, and BMD of a beam. The individual has been struggling with a similar question and is seeking help. They were advised to check for a signage error in their calculations and to properly account for clockwise and counterclockwise moments.
  • #1
Lowrie
2
0

Homework Statement



I have an assignment that is similar to the following question. I believe if i am able to do this question i will be able to do the assignment. However I cannot seem to be able to get this question right. Below the question and answer.

[URL]http://img220.imageshack.us/f/image2hy.jpg/[/URL]
http://img220.imageshack.us/f/image2hy.jpg/

Homework Equations



I have to draw a FBD, SFD, and BMD of the following beam

The Attempt at a Solution



[URL]http://img233.imageshack.us/f/imagefw.jpg/[/URL]
http://img233.imageshack.us/f/imagefw.jpg/
 
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  • #2
You have a signage error in calculating Ay, which you should have realized; when summing forces in the vertical direction, Ay + By should equal the applied 4 kN force. When you sum moments about a point, and choose counterclockwise as plus, the clockwise moments get a minus sign in front of them.
 

1. What is a shear force and bending moment diagram?

A shear force and bending moment diagram is a graphical representation of the internal forces and moments in a structural element. It shows how the external loads are distributed along the length of the element, and how the internal forces and moments change at different points along the element.

2. How is a shear force and bending moment diagram useful?

A shear force and bending moment diagram is useful for analyzing the structural behavior of a member and determining its strength and stability. It also helps in designing and optimizing structural elements to ensure they can withstand the expected loads.

3. What are the key components of a shear force and bending moment diagram?

The key components of a shear force and bending moment diagram are the shear force and bending moment values, which are shown as a function of the distance along the member. The diagram also includes a horizontal axis representing the length of the member and a vertical axis representing the magnitude of the forces and moments.

4. What do the positive and negative values on a shear force and bending moment diagram indicate?

The positive values on a shear force and bending moment diagram indicate that the forces and moments are acting in the same direction as the axis, while negative values indicate forces and moments acting in the opposite direction. This helps in identifying the locations of maximum and minimum forces and moments along the member.

5. How is a shear force and bending moment diagram constructed?

A shear force and bending moment diagram is constructed by first calculating the reactions at the supports and then drawing the shear force and bending moment values at different points along the member, based on the external loads and geometry of the member. The diagram is typically drawn using a step-by-step approach, starting from one end of the member and moving towards the other end.

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