Drawing V- and M-diagrams for Vertical Beam: Tips for Calculating M

[kasse]

I want to draw the V- and M-diagramme for this beam:

http://www.badongo.com/pic/646161

Am I on the right track? I find it difficult to calculate M here. What should I do?

 

[radou]

Yes, you're on the right track. Note that the trapezoidal load can be thought of as the superposition of two triangular loads.

 

[piercas]

Hello,

First of all, great job on attempting to draw the V- and M-diagrams for the vertical beam! It's important to have a visual representation of the forces and moments acting on a beam in order to properly analyze its structural integrity.

To start, let's define the V- and M-diagrams. The V-diagram represents the shear force acting on the beam at different points along its length, while the M-diagram represents the bending moment acting on the beam at those same points.

To draw these diagrams, you will need to calculate the reactions at the supports of the beam. These reactions are caused by the external forces acting on the beam, such as the weight of the beam itself and any additional loads placed on it. Once you have calculated the reactions, you can start plotting the V- and M-diagrams.

For the V-diagram, start at the left support and draw a line representing the reaction force acting upwards. As you move along the beam, you will encounter different external forces acting on the beam, such as the weight of the beam itself and any additional loads. These forces will either add to or subtract from the original reaction force, so you will need to adjust your V-diagram accordingly. At the right support, the V-diagram should end with a downward reaction force to balance out all the forces acting on the beam.

For the M-diagram, start at the left support and draw a horizontal line representing zero moment. As you move along the beam, you will encounter different external forces acting on the beam, causing the bending moment to increase or decrease. To calculate the bending moment at a specific point, you will need to use the equation M = F x d, where F is the force acting on the beam and d is the distance from that force to the point where you are calculating the moment. At the right support, the M-diagram should end with another horizontal line representing zero moment.

It is important to note that the V- and M-diagrams are continuous curves, so you will need to make sure that your calculations are accurate and your diagrams are smooth. If you find it difficult to calculate the bending moment at a specific point, try breaking the beam into smaller sections and calculating the moment for each section separately.

I hope this helps guide you in drawing the V- and M-diagrams for the vertical beam. Keep in mind that practice and perseverance are key in mastering structural analysis. Good luck!