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3 cards from this section. Quick, good the night before a test.
What is torsion in the context of beams?
Think about how twists affect the structure.
Define Saint-Venant's torsion.
Consider the absence of lateral displacements.
What type of torsion remains constant along the length of a beam?
Think about how each type behaves over the length of the beam.
True or False: Warping torsion leads to lateral displacements of the beam’s flanges.
Consider the definition of warping torsion.
Consider a steel beam subjected to a load that induces torsion. Calculate the shear stress and angle of twist at different points along the beam, providing both mathematical derivations and a diagram to illustrate your findings.
Use the formula τ = T*r/J, where τ is shear stress, T is torque, r is the distance from the center, and J is the polar moment of inertia.
Design a simple structure incorporating a beam subjected to known torsional loads, ensuring to analyze and modify the design for both Saint-Venant's and warping torsion effects.
Think about how to support the beam and what materials will prevent failure.
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