The supports in the 3D are having more than three reaction forces. Bec...
As 3D is defined as the three axis system, we have to consider the equilibrium in all the three axis. This will make the equilibrium go on all the axis of the 3D space. And hence will cancel all the forces.
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The supports in the 3D are having more than three reaction forces. Bec...
Explanation:
Statement Analysis:
The statement claims that supports in 3D have more than three reaction forces because they have three axes on which the components of the work need to be zero.
Supports in 3D:
In 3D structures, supports can have up to six reaction forces. These forces can be categorized into three translational forces (forces acting along the x, y, and z axes) and three rotational forces (moments or torques acting about the x, y, and z axes).
Components of Work:
The statement mentions that the components of the work need to be zero on three axes. This is incorrect. The components of the work are not associated with the reaction forces on the supports. The work done by a force is given by the dot product of the force and the displacement. The components of the work depend on the direction of the force and the direction of the displacement, not the reaction forces on the supports.
Correct Answer:
The correct answer is option 'D' - The first part of the statement is true and the other part is also true.
Explanation:
The first part of the statement is true because supports in 3D can have more than three reaction forces. As mentioned earlier, supports in 3D structures can have up to six reaction forces - three translational forces and three rotational forces.
The second part of the statement is also true because the components of the work are not related to the reaction forces on the supports. The work done by a force depends on the force's direction and the displacement's direction, not the reaction forces on the supports.
To summarize, supports in 3D can have more than three reaction forces, and the components of the work are not associated with the reaction forces on the supports.
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