A cantilever beam AB supports a distributed load of peak intensity g, acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflectioncurve. Enter the magnitudes.)ly90ACВL/2-L/2Derive the equations of the deflection curve for the beam. (Use the following as necessary: qo, L, E, I, x.)Osxs v(x) =sxsL vx) =Also, obtain formulas for the deflections 8, and 8. at points B and C, respectively. (Use the following as necessary: 9,, L, E, I.)7160E·I11 %0 L3192E·I

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A cantilever beam AB supports a distributed load of peak intensity g. acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflection curve. Enter the magnitudes.)

A cantilever beam AB supports a distributed load of peak intensity g. acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflection curve. Enter the magnitudes.)

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 9.4.2P: -2 A simple beam AB is subjected to a distributed load of intensity q(x) = q0sin x/L, where q0is...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

A cantilever beam AB supports a distributed load of peak intensity g, acting over one-half of the length (see figure). (The beam has constant flexural rigidity EI. Use the second-order differential equation of the deflection
curve. Enter the magnitudes.)
ly
90
A
C
В
L/2-
L/2
Derive the equations of the deflection curve for the beam. (Use the following as necessary: qo, L, E, I, x.)
Osxs v(x) =
sxsL vx) =
Also, obtain formulas for the deflections 8, and 8. at points B and C, respectively. (Use the following as necessary: 9,, L, E, I.)
7
160
E·I
11 %0 L3
192
E·I

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