How Does FGF sin26.6 Generate Moment About Point D in Truss Analysis?

In summary, when calculating moments by breaking a force into components, the point of application of the force can be chosen anywhere along the line of action. This will result in different moments about point D, depending on which point is chosen. However, as long as the points are along the line of action, they will all yield the same answer.
  • #1
fonseh
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Homework Statement


For moment about D , how could the FGF sin26.6 generate moment about D ?

Homework Equations

The Attempt at a Solution


FGF sin26.6 is located above point D , right ? How could FGF sin26.6 generate moment about D ?
 

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  • #2
If calculating moments by first breaking the force into components then you have to select a point of application of the force. Anywhere in the line of action will do. In this case you can use G, F or O.
If you use G there will be a clockwise moment about D from the horizontal component and an anticlockwise moment from the vertical component.
If you select F, only the horizontal component will have a moment about D, but it will be less than that of the horizontal component at G.
If you select O, as the author has done, only the vertical component has moment about D.
 
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  • #3
haruspex said:
If calculating moments by first breaking the force into components then you have to select a point of application of the force. Anywhere in the line of action will do. In this case you can use G, F or O.
If you use G there will be a clockwise moment about D from the horizontal component and an anticlockwise moment from the vertical component.
If you select F, only the horizontal component will have a moment about D, but it will be less than that of the horizontal component at G.
If you select O, as the author has done, only the vertical component has moment about D.
S
haruspex said:
If calculating moments by first breaking the force into components then you have to select a point of application of the force. Anywhere in the line of action will do. In this case you can use G, F or O.
If you use G there will be a clockwise moment about D from the horizontal component and an anticlockwise moment from the vertical component.
If you select F, only the horizontal component will have a moment about D, but it will be less than that of the horizontal component at G.
If you select O, as the author has done, only the vertical component has moment about D.
Ok , i can understand what you have explained . But for this type of question ,
how do we choose the point of application of force ? It's not stated in the question . Choosing different point of application of forces will yield different answer
 
  • #4
fonseh said:
Choosing different point of application of forces will yield different answer
No, as long as the points are along the line of action they will all yield the same answer.
 
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What is the cut section method in truss?

The cut section method in truss is a structural analysis technique used to determine the internal forces and reactions in a truss structure. It involves cutting the truss at a specific location and solving for the unknown forces at that section.

How is the cut section method different from other structural analysis methods?

The cut section method is different from other methods, such as the method of joints and method of sections, because it focuses on a specific section of the truss instead of the entire structure. This allows for a more efficient and accurate analysis of the internal forces.

What are some advantages of using the cut section method in truss analysis?

One advantage of the cut section method is that it can be used to analyze complex truss structures with multiple members and joints. It also allows for the determination of internal forces at a specific section, which can be useful for designing and optimizing truss structures.

Are there any limitations to the cut section method?

Yes, the cut section method is limited to analyzing statically determinate truss structures, meaning that all the external reactions and internal forces can be determined using equations of static equilibrium. It also assumes that the truss members are only subjected to axial forces, neglecting any bending or shear effects.

How can the cut section method be applied in real-life engineering projects?

The cut section method can be applied in the design and analysis of various structures, such as bridges, roofs, and towers, which utilize truss systems. It can also be used to assess the stability and integrity of existing truss structures and make necessary repairs or modifications.

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