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 I,=constant 2. 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) c. o = 0 (x,y, p,.1L,E) d. E = 6 (x, y. P, lL,E) e. V, =V6 (x. p,.l.L.E) с. е.
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 I,=constant 2. 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) c. o = 0 (x,y, p,.1L,E) d. E = 6 (x, y. P, lL,E) e. V, =V6 (x. p,.l.L.E) с. е.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I need C, D, and E
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad10dbe2-69d5-44c1-bbde-1a4f79a6621c%2F576354a4-2c6b-4be5-aa6e-4090582af7fb%2Fnbwb9kc_processed.png&w=3840&q=75)
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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