The simply supported beam shown below is homogeneous, prismatic and has a distributed axial load of p, = pyx applied along its length as shown. y E=constant In=constant P, = px Required: Work the problem as stated. 1) Using beam theory, derive an expression for each of the following: a. V, =v, (x, p,,L) b. M; = M:(x.p,L) y
The simply supported beam shown below is homogeneous, prismatic and has a distributed axial load of p, = pyx applied along its length as shown. y E=constant In=constant P, = px Required: Work the problem as stated. 1) Using beam theory, derive an expression for each of the following: a. V, =v, (x, p,,L) b. M; = M:(x.p,L) y
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:The simply supported beam shown below is homogeneous, prismatic and has a distributed axial
load of
Py = Pyx applied along its length as shown.
y
E=constant I,=constant
Py =p,x
Required: Work the problem as stated.
1) Using beam theory, derive an expression for each of the following:
a. V, =v, (x, p,L)
а.
M = M. (x, p,L)
b.
c. On =0 (x, y, p,1.. L,E)
d. E = 6x (x, y, p. IL,E)
с.
e. V, =Vo (x, p,Iz.L,E)
2) Plot the results of (a)-(e) on five different graphs: V, =V, (x), M, = M, (x), ơ = 0 (x),
Ex = Ew (x), vo = vo (x) (for a given value of the input loads, geometry, and material properties).
3) Find the vertical reactions at the left and right ends of the beam.
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