A cantilever beam AB of a length L has a fixed support at A and a roller support at B (see figure). MA B7 The support at B is moved downward through a distance &g. (The beam has constant flexural rigidity EI. Use the statics sign convention.) Integrating the fourth-order differential equation of the deflection curve (the load equation), determine the reactions of the beam. (Use the following as necessary: 8, L, E, and I.) RA = RB = MA = Also, integrating the fourth-order differential equation of the deflection curve (the load equation), determine the equation of the deflection curve. (Use the following as necessary: 8, L, and x.) v(x) =

A cantilever beam AB of a length L has a fixed support at A and a roller support at B (see figure). MA B7 The support at B is moved downward through a distance &g. (The beam has constant flexural rigidity EI. Use the statics sign convention.) Integrating the fourth-order differential equation of the deflection curve (the load equation), determine the reactions of the beam. (Use the following as necessary: 8, L, E, and I.) RA = RB = MA = Also, integrating the fourth-order differential equation of the deflection curve (the load equation), determine the equation of the deflection curve. (Use the following as necessary: 8, L, and x.) v(x) =

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

A cantilever beam AB of a length L has a fixed support at A and a roller support at B (see figure).
ΤΑ
OB
TRA
The support at B is moved downward through a distance &g. (The beam has constant flexural rigidity EI. Use the statics sign convention.)
Integrating the fourth-order differential equation of the deflection curve (the load equation), determine the reactions of the beam. (Use the following as necessary: 8B, L, E, and I.)
RA =
RB =
MA =
Also, integrating the fourth-order differential equation of the deflection curve (the load equation), determine the equation of the deflection curve. (Use the following as necessary: 8, L, and x.)
v(x) =

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