A prismatic beam, ABC, has a moment is applied to the midpoint of the beam (B) in the direction shown. You are tasked with evaluating the beam. Note: the bending rigidity, El, is constant. In order to satisfy your contractual obligations, you must: A -L/2- A M -L/2- B (a) Determine the slope and deflection of the beam at the free end (point C) (b) If the boundary condition for the prismatic beam, ABC, is changed and now both ends are considered fixed (as shown in the image below). Use your result for part (a) to determine the reactions at point C. L с M B X
A prismatic beam, ABC, has a moment is applied to the midpoint of the beam (B) in the direction shown. You are tasked with evaluating the beam. Note: the bending rigidity, El, is constant. In order to satisfy your contractual obligations, you must: A -L/2- A M -L/2- B (a) Determine the slope and deflection of the beam at the free end (point C) (b) If the boundary condition for the prismatic beam, ABC, is changed and now both ends are considered fixed (as shown in the image below). Use your result for part (a) to determine the reactions at point C. L с M B X
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:A prismatic beam, ABC, has a moment is applied to the midpoint of the beam (B) in the direction
shown. You are tasked with evaluating the beam. Note: the bending rigidity, El, is constant. In order
to satisfy your contractual obligations, you must:
A
-L/2-
L
A
-L/2→
M
B
(a) Determine the slope and deflection of the beam at the free end (point C)
(b) If the boundary condition for the prismatic beam, ABC, is changed and now both ends are
considered fixed (as shown in the image below). Use your result for part (a) to determine the
reactions at point C.
L
с
M
B
X
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