Prob. 5.5-8. A beam and its loading are shown in the referenced figure. For each of these problems: (a) Use equilibrium to verify the reactions. (b) Using discontinuity functions from the Load col- umn of Table 5.2, write an expression for the in- tensity p(x) of the equivalent distributed load. In- clude the reactions in your expression for the equivalent load. (c) Perform a term-by-term integration of the load expression to obtain a discontinuity-function ex- pression for the shear force V(x), and sketch a shear diagram like the one in Fig. 2b of Example Problem 5.10. Refer to the Shear column of Ta- ble 5.2. (d) Perform a term-by-term integration of the shear expression obtained in Part (c) to obtain a discon- tinuity-function expression for the moment M(x). Sketch a moment diagram like the one in Fig. 2c of Example Problem 5.10. Refer to the Moment column of Table 5.2. Vc = 8 kips and Me 48 kip. ft. 1.5 kips/ft 8 ft 20 kips 12 ft
Prob. 5.5-8. A beam and its loading are shown in the referenced figure. For each of these problems: (a) Use equilibrium to verify the reactions. (b) Using discontinuity functions from the Load col- umn of Table 5.2, write an expression for the in- tensity p(x) of the equivalent distributed load. In- clude the reactions in your expression for the equivalent load. (c) Perform a term-by-term integration of the load expression to obtain a discontinuity-function ex- pression for the shear force V(x), and sketch a shear diagram like the one in Fig. 2b of Example Problem 5.10. Refer to the Shear column of Ta- ble 5.2. (d) Perform a term-by-term integration of the shear expression obtained in Part (c) to obtain a discon- tinuity-function expression for the moment M(x). Sketch a moment diagram like the one in Fig. 2c of Example Problem 5.10. Refer to the Moment column of Table 5.2. Vc = 8 kips and Me 48 kip. ft. 1.5 kips/ft 8 ft 20 kips 12 ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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This is a mechanics of material question please show all steps clearly please show the given, what is to be found, and a free body diagram.
![Reference Table 5.2
TABLE 5.2 A Summary of Loads, Shear, and Moment Represented by Discontinuity Functions
Case
Load
Moment
1
2
3
4
5
6
-M₁xx-a-2
Mo
Pa
Po
Po-a
a
-a ---
Pa
lax-a¹
b
(x-a)
V
Po-
V
a
T
1
1
Shear
G
-Mo
a
Pox-a
Pocx-as!
G
Pa
[6(n+1)]
M
-Mo-
M
M
M
M
a
a
-
P
(n+1)(n+2)
X
X
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb816de81-d091-4434-aa0d-8a250bb5db6b%2Fb01a031a-8347-4b9e-aba3-8f0d75598190%2Fx2nwko_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Reference Table 5.2
TABLE 5.2 A Summary of Loads, Shear, and Moment Represented by Discontinuity Functions
Case
Load
Moment
1
2
3
4
5
6
-M₁xx-a-2
Mo
Pa
Po
Po-a
a
-a ---
Pa
lax-a¹
b
(x-a)
V
Po-
V
a
T
1
1
Shear
G
-Mo
a
Pox-a
Pocx-as!
G
Pa
[6(n+1)]
M
-Mo-
M
M
M
M
a
a
-
P
(n+1)(n+2)
X
X
X
X
Transcribed Image Text:Prob. 5.5-8.
A beam and its loading are
shown in the referenced figure. For each of these problems:
(a) Use equilibrium to verify the reactions.
(b) Using discontinuity functions from the Load col-
umn of Table 5.2, write an expression for the in-
tensity p(x) of the equivalent distributed load. In-
clude the reactions in your expression for the
equivalent load.
(c) Perform a term-by-term integration of the load
expression to obtain a discontinuity-function ex-
pression for the shear force V(x), and sketch a
shear diagram like the one in Fig. 2b of Example
Problem 5.10. Refer to the Shear column of Ta-
ble 5.2.
(d) Perform a term-by-term integration of the shear
expression obtained in Part (c) to obtain a discon-
tinuity-function expression for the moment M(x).
Sketch a moment diagram like the one in Fig. 2c
of Example Problem 5.10. Refer to the Moment
column of Table 5.2.
Vc = 8 kips and Mc 48 kip ft.
1.5 kips/ft
8 ft
20 kips
12 ft
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