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Bending and shear stresses developed by the instantaneous arrest of the root of a cantilever beam rotating with constant angular velocity about a transverse axis through the rootA theoretical investigation was made of the behavior of a cantilever beam in rotational motion about a transverse axis through the root determining the stresses, the deflections, and the accelerations that occur in the beam as a result of the arrest of motion. The equations for bending and shear stress reveal that, at a given percentage of the distance from root to tip and at a given trip velocity, the bending stresses for a particular mode are independent of the length of the beam and the shear stresses vary inversely with the length. When examined with respect to a given angular velocity instead of a given tip velocity, the equations reveal that the bending stress is proportional to the length of the beam whereas the shear stress is independent of the length. Sufficient experimental verification of the theory has previously been given in connection with another problem of the same type.
Document ID
19930094004
Acquisition Source
Legacy CDMS
Document Type
Other
Authors
Stowell, Elbridge Z
Schwartz, Edward B
Houbolt, John C
Date Acquired
September 6, 2013
Publication Date
June 1, 1945
Report/Patent Number
NACA-WR-L-27
NACA-ARR-L5E25
Accession Number
93R10003
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
Keywords
BEAMS - VIBRATION
BEAMS, CANTILEVER - STRESSES
BEAMS - DEFLECTION

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