Derive the equation of the deflection curve for a cantilever beam AB when a couple M, acts counterclockwise at the free end (see figure). Also, determine the deflection and slope 8 at the free end. Use the third-order differential equation of the deflection curve (the shear-force equation). (The beam has constant flexural rigidity EI. Also, the origin of coordinates is at the left-hand end of the beam. Enter the magnitudes. Use the following s necessary: M, L, X, E, and I.)

Derive the equation of the deflection curve for a cantilever beam AB when a couple M, acts counterclockwise at the free end (see figure). Also, determine the deflection and slope 8 at the free end. Use the third-order differential equation of the deflection curve (the shear-force equation). (The beam has constant flexural rigidity EI. Also, the origin of coordinates is at the left-hand end of the beam. Enter the magnitudes. Use the following s necessary: M, L, X, E, and I.)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Derive the equation of the deflection curve for a cantilever beam AB when a couple Mo acts counterclockwise at the free end (see figure).
Also, determine the deflection & and slope 8 at the free end. Use the third-order differential equation of the deflection curve (the shear-force equation). (The beam has constant flexural rigidity EI. Also, the origin of coordinates is at the left-hand end of the beam. Enter
the magnitudes. Use the following as necessary: M, L, X, E, and I.)
v(x) =
8 B
Mo
B
=

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