Is Angle of Twist the Same as Degrees of Rotation in Beam Mechanics?

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Angle of twist and degrees of rotation are not the same in beam mechanics. The angle of twist refers to the rotation around the beam's centroidal axis caused by torsion, measured in radians. In contrast, degrees of rotation, derived from the moment equation, represent the beam's deflection from the horizontal, typically expressed in degrees. This distinction is crucial for understanding beam behavior under different loading conditions. Therefore, while both involve rotation, they apply to different mechanical phenomena.
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Homework Statement



is angle of twist and degrees rotation the same thing??

Homework Equations



(angle of twist is TL/JG, units are rad. Degrees roation is found by using moment and integrating moment equation once. to get EI dw/dx = integral of Moment + C1 ) (Units are unit-less but u say its degree)

The Attempt at a Solution

 
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Angle of twist is a rotation in the beam's centroidal axis due to torsion. Degrees of rotation how you described it (EI dw/dx) is a rotation of the beam from the horizontal due to deflection. It's not the same thing.
 
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