Solving for Ra & Rb on a Beam: Step-by-Step Guide

  • Thread starter kyle_soule
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In summary, the person is asking for help in finding the reaction forces Ra and Rb for a beam with a 50 kip load and a 4 kips/ft load. They mention a triangle (Ra) and a circle (Rb) at the ends of the beam but the ASCII art is not clear. They also ask for someone to walk them through the steps of solving for Ra and Rb.
  • #1
kyle_soule
240
1
I need help with this problem:

You have a beam and this is the information I have and I need to find the reaction [ascii art is hard]

50 kip
|
V
----------------------------
| | | | | | | | | |
V V V V V V V V V V
---------------------------- <---- 4 kips/ft
^ (-)
/_\ (_) <---that is a circle
|----10 ft---|
|------------20-------------|

^Ra ^Rb

I need to solve for Ra and Rb, it would be very much appreciated if someone could walk me through the steps also.

Thanks!

EDIT: the art doesn't work so I will tell you, there is a triangle at the left [Ra] end and a circle at the right [Rb] side.
 
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  • #2
Originally posted by kyle_soule
EDIT: the art doesn't work so I will tell you, there is a triangle at the left [Ra] end and a circle at the right [Rb] side.

Sorry, but I am still not sure of what you are trying to draw. Try it using the "code" brackets:

[ code ]

[ /code ]

(without the spaces)

What that does is it preserves spaces that you put in the text, like so:

Code:
I'm writing on the left.
                      Oooh, now I'm writing on the right!
 
  • #3
Code:
        50 kip
           |
           V
----------------------------
|  |  |  |  |  |  |  |  |  |
V  V  V  V  V  V  V  V  V  V  
----------------------------  <---- 4 kips/ft
 ^                       (-)    
/_\                      (_)  <---that is a circle
|----10 ft---|
|------------20-------------|

^Ra                        ^Rb
 

1. What is the purpose of solving for Ra and Rb on a beam?

Solving for Ra and Rb on a beam is important because it allows us to determine the reactions at the supports of the beam. This information is necessary for designing and analyzing the beam's stability and load-bearing capacity.

2. How do I identify Ra and Rb on a beam?

Ra and Rb refer to the reactions at the supports of the beam. To identify them, you will need to draw a free-body diagram of the beam and apply the equations of equilibrium (sum of forces and moments equal to zero). The reactions Ra and Rb will appear as unknowns in these equations.

3. What are the steps involved in solving for Ra and Rb on a beam?

The steps involved in solving for Ra and Rb on a beam are as follows:

1. Draw a free-body diagram of the beam.

2. Apply the equations of equilibrium (sum of forces and moments equal to zero).

3. Solve the equations simultaneously to find the values of Ra and Rb.

4. Check your solution by substituting the values into the equations of equilibrium.

4. Can I use a calculator to solve for Ra and Rb on a beam?

Yes, you can use a calculator to solve for Ra and Rb on a beam. However, it is important to have a good understanding of the equations and concepts involved in order to ensure accurate solutions.

5. Are there any common mistakes to watch out for when solving for Ra and Rb on a beam?

Yes, some common mistakes when solving for Ra and Rb on a beam include:

- Not drawing a complete free-body diagram of the beam.

- Forgetting to consider the direction and sign conventions when applying the equations of equilibrium.

- Making calculation errors or using incorrect units.

It is important to carefully check your work and make sure all equations are properly set up and solved for accurate results.

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