Question 3 / 40:  For a cantilevered beam with a downward load L at the free end, which of the following statements is true? I. The shearing force is constant over the length of the beam. II. The magnitude of the bending moment increases linearly from the fixed end to the free end. III. The magnitude of the shearing force increases linearly from the free end to the fixed end. IV. The beam bends so that it is concave up.
A  II, III, and IV
B  Both III and IV
C  Both II and III
D  I only
E  Both I and II
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Explanation:

These conclusions can be drawn by considering a free-body diagram for shear forces and bending moments, as discussed in the reading for sub-subunit 3.1.1.

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Mechanics I ME102

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Attribution:  Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/
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