9ainThe deflection y(x) is given byy(x) =M6EIL(x³ +3Lx² - 4L²x)dy(a) Determine the slope 0(x) =(b) Determine both the location andvalue of the maximum deflection.(c) Evaluate both the deflection andslope at the points x = 0 and x == L.(d) Use your results of parts (b) and (c)to sketch the deflection y(x).8-34. Consider the buckling of a pinned-fixedshown in Fig. P8.34. The deflection y(x)column under a compressive load P asof the buckled configuration is given by the slopex = L.(c) Determine both the location andvalue of the maximum deflection.(d) Use your results of parts (b) and(c) to sketch the deflection y(x), andclearly indicate both the locationand value of the maximum deflec-tion.8-33. A simply supported beam is subject to amoment M at x = 0 and a moment 2Mat x = L, as shown in Fig. P8.33.My(x)000L2M-XFigure P8.33 A simply supported beam forproblem P8-33.Figucon8-3

Answered: Image /qna-images/answer/373c02e9-8745-4bb6-9d2d-0a7d9d1379d6.jpg

Answered: 8-33. A simply supported beam is…

8-33. A simply supported beam is subject to a moment M at x = 0 and a moment 2M at x = L, as shown in Fig. P8.33. M y(x) -L- 2M -X Figure P8.33 A simply supported beam for problem P8-33. Figu con 8-3

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

Influence Lines

The graphs that show the variation of a function at a specific point on a beam or truss due to a unit load placed at any point along the structure are known as influence lines in engineering. Some common functions that are studied with influence lines are shear, moment, and deflection. In designing beams and trusses, it is important to use influence lines in structures where loads would move along their span such as bridges, crane rails, conveyor belts, floor girders, etc. The influence lines help to study where a load will create the maximum effect for any of the functions.

Question

9
a
in
The deflection y(x) is given by
y(x) =
M
6EIL
(x³ +3Lx² - 4L²x)
dy
(a) Determine the slope 0(x) =
(b) Determine both the location and
value of the maximum deflection.
(c) Evaluate both the deflection and
slope at the points x = 0 and x =
= L.
(d) Use your results of parts (b) and (c)
to sketch the deflection y(x).
8-34. Consider the buckling of a pinned-fixed
shown in Fig. P8.34. The deflection y(x)
column under a compressive load P as
of the buckled configuration is given by

the slope
x = L.
(c) Determine both the location and
value of the maximum deflection.
(d) Use your results of parts (b) and
(c) to sketch the deflection y(x), and
clearly indicate both the location
and value of the maximum deflec-
tion.
8-33. A simply supported beam is subject to a
moment M at x = 0 and a moment 2M
at x = L, as shown in Fig. P8.33.
M
y(x)
000
L
2M
-X
Figure P8.33 A simply supported beam for
problem P8-33.
Figu
con
8-3

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