A beam of uniform flexural stiffness El and span L is simply-supported at its ends as shown in Figure Q2(a); it carries a uniformly distributed vertical load of w per unit length, which induces bending in the yz plane only. Then the reactions at the ends are each equal to 0.5 (wL); if z is measured from the end C, the bending moment at a distance z from C is

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 10.4.34P: The beam AB shown in the figure is simply supported at A and B and supported on a spring of...
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Q2 (a)_A beam of uniform flexural stiffness EI and span L is simply-supported at its ends as
shown in Figure Q2(a); it carries a uniformly distributed vertical load of w per unit
length, which induces bending in the yz plane only. Then the reactions at the ends are
each equal to 0.5 (wL); if z is measured from the end C, the bending moment at a distance
z from C is
1
M = - WLz
2
1
Find the maximum deflection, vmax
w/unit length
† t't t
wL
2
WL
2
Figure Q2 (a)
|
Transcribed Image Text:Q2 (a)_A beam of uniform flexural stiffness EI and span L is simply-supported at its ends as shown in Figure Q2(a); it carries a uniformly distributed vertical load of w per unit length, which induces bending in the yz plane only. Then the reactions at the ends are each equal to 0.5 (wL); if z is measured from the end C, the bending moment at a distance z from C is 1 M = - WLz 2 1 Find the maximum deflection, vmax w/unit length † t't t wL 2 WL 2 Figure Q2 (a) |
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