Consider a uniform cantilever beam of length L, elastic modulus E, and area moment of inertia I. If a force F is applied at the tip of the beam, it will deflect. If the beam is supposed to be massless, decide what type of 1-port it is and compute its constitutive law.

Consider a uniform cantilever beam of length L, elastic modulus E, and area moment of inertia I. If a force F is applied at the tip of the beam, it will deflect. If the beam is supposed to be massless, decide what type of 1-port it is and compute its constitutive law.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.10.1P: A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

Consider a uniform cantilever beam of length L, elastic modulus E, and
area moment of inertia I. If a force F is applied at the tip of the beam, it
will deflect. If the beam is supposed to be massless, decide what type of
1-port it is and compute its constitutive law.
E, I
L

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