Why was the thickness of the beam included in calculating this moment?

In summary, the thickness of the beam was factored into the calculation of moment because the point of application of the diagonal force has a vertical lever that needs to be considered. The horizontal component of the force was also used in the calculation because in order for it to be truly aligned with pivot A or B, the line of application would need to be extended until crossing the A-B line, resulting in an increase in the lever of the vertical component. This means that the force applied at an angle can cause a change in thickness of the beam.
  • #1
user12323567
20
1
Homework Statement
Determine the horizontal and vertical components of reaction on the
beam caused by the pin at B and the rocker at A as shown in Fig. 5–12a.
Neglect the weight of the beam.
Relevant Equations
M = Fd
Hi all,

Why was the thickness of the beam considered when moment was being calculated and why was the horizontal component of the 600 N force used in calculating the moment? That part is unclear to me. Please explain it. Am I looking for the logic behind using the horizontal comp. and the thickness value for moment. Are we saying that a force applied at an angle causes some change in thickness of the beam? Please see attached picture below
1667585191313.png
 
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  • #2
Because the point of application of the diagonal force has a vertical lever (0.2 m) that should be considered.
For the horizontal component to truly be aligned with pivot A or B, the line of application of the force should be extended until crossing the A-B line.
If that happens, the lever of the vertical component would increase to be greater than 2 meters.
 
Last edited:

FAQ: Why was the thickness of the beam included in calculating this moment?

Why is the thickness of the beam important in calculating moment?

The thickness of the beam is important in calculating moment because it affects the beam's resistance to bending. A thicker beam can withstand more bending forces and therefore has a higher moment of inertia, which is a key factor in calculating moment.

How does the thickness of the beam affect the moment of inertia?

The thickness of the beam directly affects the moment of inertia, which is a measure of the beam's resistance to bending. A thicker beam has a higher moment of inertia, making it more resistant to bending and able to withstand higher moments.

Can the thickness of the beam be neglected in calculating moment?

No, the thickness of the beam cannot be neglected in calculating moment. It is a crucial factor in determining the beam's resistance to bending and must be included in the calculation to accurately determine the moment.

How does the thickness of the beam impact the overall strength of the structure?

The thickness of the beam plays a significant role in the overall strength of a structure. A thicker beam can withstand higher bending forces, which is important in supporting the weight and load of the structure. Neglecting the thickness of the beam in calculating moment can lead to an inaccurate assessment of the structure's strength.

Is the thickness of the beam the only factor that affects moment?

No, the thickness of the beam is not the only factor that affects moment. Other factors such as the material properties, length, and shape of the beam also play a role in calculating moment. However, the thickness of the beam is a crucial factor and must be considered in the calculation.

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