How Do You Calculate Reactions at a Pin and Roller on an Inclined Beam?

In summary, the reactions at the pin A and at the roller at B of the beam can be determined using the equilibrium equations for forces and moments. With a roller joint at point B, only a vertical reaction force Rby is present. However, with a pin joint at point A, both vertical and horizontal reaction forces (Ray and Rax) are present. Using the given information and the beam's inclination, the reactions can be calculated as Ray = -100N, Rax = 0N, and Rby = 1434.7N.
  • #1
pleasehelpme6
62
0
Determine the reactions at the pin A and at the roller at B of the beam.

I honestly have no idea how to do this problem.
It gives the answers as...

Ax = 192 N
Ay = 180 N
By = 642 N

Please help.

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  • #2
Heck, you've got to show something. Try listing the relevant equations. Note that the roller support can only provide vertical forces, not horizontal. The pin support can provide both. Use the equilibrium equations for forces and moments.
 
  • #3
As phanthom jay said above you have a roller joint at point B so you have just a vertical reaction force Rby since it is a pin joint at point A you have reaction forces Ray and Rax. The beam is inclined at 22deg
The 500N force is resolved vertically giving 500/cos22

therefore
Rax=0
SUM horizontal forces
Ray + Rby=500/cos22

SUM moment of forces about Point B
Ray.8 - Rax.3.33=800

so i get
Rax=0N
Rbx=0N
Ray=-100N
Rby= 1434.7N
 

Related to How Do You Calculate Reactions at a Pin and Roller on an Inclined Beam?

What is a reaction at pin and roller?

A reaction at pin and roller is a force or moment that is generated at a fixed point (pin) or a point of contact (roller) in a structural system. It is the equal and opposite force or moment that is needed to balance out the external loads acting on the system.

How is the reaction at pin and roller calculated?

The reaction at pin and roller can be calculated using the principles of statics. The sum of all forces and moments acting on the system must equal zero in order to achieve equilibrium. By analyzing the external loads and the geometry of the system, the reaction at pin and roller can be determined using equations of equilibrium.

What is the significance of the reaction at pin and roller in structural analysis?

The reaction at pin and roller is crucial in determining the internal forces and stresses in a structural system. It helps in designing and analyzing structures to ensure they can withstand the applied loads and remain stable. Without accurately determining the reaction at pin and roller, the structural integrity of the system may be compromised.

What factors can affect the reaction at pin and roller?

The reaction at pin and roller can be affected by various factors such as the magnitude and direction of the external loads, the geometry of the system, and the material properties. Any changes in these factors can result in a different reaction at pin and roller, which can have a significant impact on the overall stability and safety of the structure.

How can the reaction at pin and roller be controlled or manipulated?

The reaction at pin and roller can be controlled or manipulated by altering the external loads or the geometry of the system. For example, by changing the position of the external loads or adding additional supports, the reaction at pin and roller can be adjusted to achieve a desired equilibrium. However, it is important to note that any changes made to the system must still adhere to the principles of equilibrium in order to maintain its stability.

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