1. The figure shows Beam Diagram 3 provided by CISC Handbook of Steel Construction, where W=total applied load in kN. (1) using 4th-order differential equation to obtain the deflection equation y (i.e., Ax) for interval 0

1. The figure shows Beam Diagram 3 provided by CISC Handbook of Steel Construction, where W=total applied load in kN. (1) using 4th-order differential equation to obtain the deflection equation y (i.e., Ax) for interval 0

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.5.5P: Solve the preceding problem by integrating the differential equation of the deflection curve.

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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

1. The figure shows Beam Diagram 3 provided by CISC Handbook of Steel Construction, where W=total
applied load in kN.
(1) using 4th-order differential equation to obtain the deflection equation y (i.e., Ar) for interval 0<x<.
Must show detailed process.
3. SIMPLE BEAM – LOAD INCREASING UNIFORMLY TO CENTER
4 W
Equivalent Tabular Load..
3
R=v.
v. (when x <)
R
217 (2 - 4x?)
WI
M max. (at center)
6
2x
M. (when x <)
- Wx
Shear
A max. (at center).
60 EI
4, (when x <).
Wx
480 EIl2
M_
max
Moment
1/2

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