Writing shear and moment equations for a simple beam problem?

In summary, the individual is seeking assistance with generating a simple beam program in Mathcad and is experiencing difficulties with the integrals. They have provided a screenshot of their progress so far, but it is difficult to diagnose the issue without being able to interact with the expressions. The potential issue is that the multiplication operator may be hidden, causing the expressions to appear as function calls rather than scalar multiplication.
  • #1
rtrux4
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Im trying to generate a simple beam program in mathcad and am having trouble with the integrals. Attached is what I have so far:
 

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  • #2
rtrux4 said:
Im trying to generate a simple beam program in mathcad and am having trouble with the integrals. Attached is what I have so far:

Hi,

I note it's been some time since you posted this, but if you're still interested ...

It's difficult (to impossible!) to diagnose problems from just a picture of a worksheet because there are some display subtleties that can only be seen by clicking on the 'offending' expression. This is a potential case in point. To make the expressions look more like their typographical equivalents, Mathcad has the ability to hide the multiplication operator. However, the down side of this is that the expression can also look like a function call if, as in your case, a scalar multiplies an expression in parentheses.

What I think is going from your picture, and you can probably see this coming now, is that there isn't a multiply operator between most of your r1,r2,r3 and w and the expressions in parentheses.

NR
 

1. What is a shear and moment equation?

A shear and moment equation is a mathematical expression that describes the internal forces and bending moments acting on a simple beam. It is used to analyze the structural integrity and stability of a beam under various loading conditions.

2. How do you derive the shear and moment equations?

The shear and moment equations are derived using the principles of statics and mechanics of materials. By taking the sum of forces and moments in the x and y directions, and using the equations of equilibrium, we can determine the relationships between the internal forces and moments in a simple beam.

3. What are the key components of a shear and moment equation?

The key components of a shear and moment equation are the applied loads, the support reactions, and the distance from the point of interest. These factors determine the magnitude and direction of the internal forces and bending moments at a specific location on the beam.

4. How do you interpret the results of a shear and moment equation?

The results of a shear and moment equation provide information about the internal forces and bending moments at different points along the length of the beam. These values can be used to determine the maximum stress and deflection within the beam, which are important factors in designing safe and efficient structures.

5. Can shear and moment equations be used for complex beam problems?

Yes, shear and moment equations can be used for more complex beam problems by breaking the beam into smaller sections and applying the equations to each section. This allows for a more detailed analysis of the beam's behavior under different loading conditions. However, for beams with non-uniform cross-sections or multiple supports, more advanced methods may be needed to accurately calculate the internal forces and bending moments.

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