978-0133915426 Chapter 4 Part 8

subject Type Homework Help
subject Authors Russell C. Hibbeler

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4–137.
Replace the three forces acting on the plate by a wrench.
Specify the magnitude of the force and couple moment for
the wrench and the point P(x, y) where the wrench intersects
the plate.
yx
x
P
C
B
z
FC fi {200j} N
FB fi { 300k} N
369
4–137. Continued
370
SOLUTION
4–138.
Replace the loading by an equivalent resultant force and
couple moment acting at point O.
9 ft
9 ft
O
50 lb/ft
50 lb
/
ft
371
4–139.
Replace the distributed loading with an equivalent resultant
force, and specify its location on the beam measured from
point O.
SOLUTION
O
3 m 1.5 m
3 kN/m
372
SOLUTION
*4–140.
Replace the loading by an equivalent resultant force and
specify its location on the beam, measured from point A.
BA x
2 kN/m
5 kN/m
w
4 m 2 m
373
4–141.
Currently eighty-five percent of all neck injuries are caused
by rear-end car collisions.To alleviate this problem, an
automobile seat restraint has been developed that provides
additional pressure contact with the cranium. During
dynamic tests the distribution of load on the cranium has
been plotted and shown to be parabolic. Determine the
equivalent resultant force and its location, measured from
point A.
A
w
B
x
wfi12(1 2x
2
)lb/ft
0.5 ft
12 lb/ft
18 lb/ft
SOLUTION
374
SOLUTION
4–142.
Replace the distributed loading by an equivalent resultant
force, and specify its location on the beam, measured from
the pin at A.
AB
2 kN/m
4 kN/m
375
SOLUTION
4–143.
Replace this loading by an equivalent resultant force and
specify its location, measured from point O.
1.5 m2 m
6 kN/m
4 kN/m
O
376
*4–144.
The distribution of soil loading on the bottom of a
building slab is shown. Replace this loading by an
equivalent resultant force and specify its location, measured
from point O.
12 ft 9ft
100 lb/ft
50 lb/ft
300 lb/ft
O
377
SOLUTION
4–145.
Replace the loading by an equivalent resultant force and
couple moment acting at point O.
1.5 m 0.75 m 0.75 m
5 kN/m
8 kN/m
O
378
SOLUTION
4–146.
Replace the distributed loading by an equivalent resultant
force and couple moment acting at point A.
A
3
m3
m
6 kN/m 6 kN/m
3 kN/m
B
379
4–147.
Determine the length b of the triangular load and its
position a on the beam such that the equivalent resultant
force is zero and the resultant couple moment is 8 kN
#
m
clockwise.
a
9 m
4 kN/m
A
b
2.5 kN/m
380
SOLUTION
*4–148.
The form is used to cast a concrete wall having a width
of 5 m. Determine the equivalent resultant force the wet
concrete exerts on the form AB if the pressure distribution
due to the concrete can be approximated as shown. Specify
the location of the resultant force, measured from point B.
A
B
4 m
p
fi (4 ) kPa
pz2
1
381
4–149.
If the soil exerts a trapezoidal distribution of load on the
bottom of the footing, determine the intensities w1and w2of
this distribution needed to support the column loadings.
SOLUTION
3.5 m2.5 m
1
m1
m
60 kN 80 kN
50 kN
382
4–150.
SOLUTION
Rep
l
ace t
h
e
l
oa
di
ng
b
y an equ
i
va
l
ent force an
d
coup
l
e
moment acting at point O.
O
7.5 m4.5 m
500 kN m
6kN/m15 kN

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