Trusses lie in a single plane. And the calculations used to solve the ...
The loading is acting in a plane. Thus the calculations are done in 2D only. As the equations for 3D are different. Although the use of vectors can make our task easy but still 2D calculations are done for the trusses, as they are acting in a same plane.
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Trusses lie in a single plane. And the calculations used to solve the ...
Trusses are structural frameworks composed of straight members connected at joints. They are widely used in engineering and architecture to support loads and provide stability to structures such as bridges, roofs, and towers. The statement given in the question states that trusses lie in a single plane and the calculations used to solve the forces are from vector math. Let's analyze each part of the statement and determine its truthfulness.
False Statement: Trusses lie in a single plane.
Explanation:
- Trusses can be classified into two types: 2D trusses and 3D trusses.
- 2D trusses lie in a single plane and are commonly used when the structure being supported is also planar. Examples include roof trusses and floor joists.
- However, 3D trusses can exist in space and are used when the structure being supported is not confined to a single plane. These trusses are commonly used in bridges and towers.
- Therefore, the statement is false because trusses can exist in both single planes and multiple planes.
True Statement: The calculations used to solve the forces are from vector math.
Explanation:
- Trusses are subjected to various external loads such as tension, compression, and bending moments. To analyze the behavior of trusses and determine the forces acting on each member, vector math is used.
- Vector math involves the use of mathematical operations such as addition, subtraction, and multiplication to represent forces as vectors.
- The method of joints and method of sections are commonly used techniques in truss analysis, both of which rely on vector math to solve the forces.
- By applying the principles of equilibrium and using vector math calculations, engineers can determine the internal forces in each truss member and ensure the structure's stability.
- Therefore, the statement is true because vector math is indeed used to solve the forces in trusses.
In conclusion, the given statement is a combination of a false statement and a true statement. Trusses can exist in both single planes and multiple planes, making the first part false. However, the calculations used to solve the forces in trusses do involve vector math, making the second part true. Hence, the correct answer is option 'C'.