a)The highest order distributed load upon this beam is x to the power of _____. b)The uniform intensity has a magnitude of _____ N/m. c) ASIDE: The commonly used variable used to represent intensity is the letter _____.
5.12
a)The highest order distributed load upon this beam is x to the power of _____.
b)The uniform intensity has a magnitude of _____ N/m.
c)
ASIDE:
The commonly used variable used to represent intensity is the letter _____.
options:
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w |
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y |
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r |
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c |
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R |
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m |
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b |
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x |
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X |
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d |
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a |
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A |
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K |
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M |
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Y |
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W |
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k |
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B |
d)The resultant force of the distribution has a magnitude of _____ N.
e)
The centroid of the distribution is located at x=_____m as measured from A.
NOTE:
Submit 3 Sig Fig.
f)
The moment about A induced by the distribution has a magnitude of _____ N-m.
NOTE:
Submit 3 Sig Fig.
g)
The sense of the moment about A induced by the distribution is _____.
Question 7 options:
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+x |
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-x |
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+y |
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-y |
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+z |
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-z |
h)
The reaction moment induced by the distribution has a magnitude of _____ N-m.
NOTE:
Submit 3 Sig Fig.
i)
The sense of the reaction moment induced by the distribution is _____.
Question 9 options:
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+x |
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-x |
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+y |
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-y |
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+z |
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-z |
![SAMPLE PROBLEM 5/12
w(x)
W = Wo + kx?
2024
N/m
1000 N/m
Determine the reaction at the support A of the loaded cantilever beam.
8 m
1000
||
Solution. The constants in the load distribution are found to be wo
A
1 N/m and k = 2 N/m4. The load R is then
%3D
8
Helpful Hints
8
(1000 + 2x³) dx =
1000x +
2
= 10 050 N
R =
w dx =
1 Use caution with the units of the
constants wn and k.
The x-coordinate of the centroid of the area is found by
2 The student should recognize that
the calculation of R and its location x
xw dx
1
x =
x(1000 + 2x3) dx
%3D
is simply an application of centroids
as treated in Art. 5/3.
R
10 050
1
(500x² +)
Fr5 = 4.49 m
10 050
10 050 N
From the free-body diagram of the beam, we have
4.49 m
A
MA
y
MA - (10 050)(4.49) = 0
bios
= 45 100 N m
[ΣΜΑ-0]
Ans.
A,
beon
L-- X
MA =
[EF, = 0]
A,
10 050 N
Ans.
Note that A, = 0 by inspection.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a70e2d2-d641-435a-b212-d4266cff05fc%2Fd55ac057-0fcd-44ba-b31e-3ec78ae950af%2Fqklzrva_processed.jpeg&w=3840&q=75)
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