A simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, ofthe center line of the beam as a function of the position, x, is given by the equation:WoLwhere L=4 m is the length, E=5 GPa is the elastic modulus, I=60 x 10^(-6) m^4 is themoment of inertia, and wo=20 kN/m. Find the position x where the deflection of thebeam is maximum in meters. Express your answer in meters with six decimal digitsafter decimal point.Wox360LEI...y =-(7L4 – 10L²×² + 3x*)

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Answered: A simply supported I-beam is loaded…

A simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, of the center line of the beam as a function of the position, x, is given by the equation:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.3.22P: Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V...

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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 simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, of
the center line of the beam as a function of the position, x, is given by the equation:
Wo
L
where L=4 m is the length, E=5 GPa is the elastic modulus, I=60 x 10^(-6) m^4 is the
moment of inertia, and wo=20 kN/m. Find the position x where the deflection of the
beam is maximum in meters. Express your answer in meters with six decimal digits
after decimal point.
Wox
360LEI
...
y =
-(7L4 – 10L²×² + 3x*)

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