Problem 9.38 The extensional strain corresponding to
a point of a material and the direction of a line of length
dL in the reference state is = 0.15. What is the length
dL of the line in the deformed
Problem 7.158
Determine the centroid of the area.
y
40 mm
20 mm
40 mm
Solution:
Divide the object into ve areas:
80 mm
(1)
(2)
(3)
(4)
(5)
The rectangle 80 mm by 80 mm,
The rectangle 120 mm by 80 mm,
Problem 5.93 In Problem 5.95, the vertical force F =
4 kN. The bearing at A will safely support a force of
2.5-kN magnitude and a couple of 0.5 kN-m magnitude.
Based on these criteria, what is the all
Problem 4.73 The force F = 800 lb. The sum of
the moments about O due to the force F and the forces
exerted at A by the cables AB and AC is zero. What
are the tensions in the cables?
y
C
(0, 6, ft
10)
Problem 4.86 In Problem 4.85, what total moment is
exerted about the x axis by the weights of the arms?
Solution: The solution is identical to that of Problem 4.85 except
that e = i. Substituting into
Problem 9.1 The prismatic bar has a circular cross
section with 50-mm radius and is subjected to 4-kN axial
loads. Determine the average normal stress at the plane
P.
Free Body Diagrams:
Solution:
The
Problem 3.74 The 200-kg slider at A is held in place
on the smooth vertical bar by the cable AB.
(a) Determine the tension in the cable.
(b) Determine the force exerted on the slider by the bar.
y
2m
Problem 9.24 In Problem 9.23, the plane P is 3 ft
from end D of the cranes boom and is perpendicular to
the boom. The cross-sectional area of the boom at P
is 15 in2 . Determine the average normal str
A
Problem 8.108 Each of the uniform 1-m bars has a
mass of 4 kg. The coefcient of static friction between
the bar and the surface at B is 0.2. If the system is in
equilibrium, what is the magnitude of
Problem 16.62 Determine the deection v as a function of x and conrm the results in Appendix E.
Solution:
The expressions for bending moment in the two sections of the beam
are:
M0a = w0
x2
a2
ax +
2
Problem 8.31 The cylinder has weight W . The coefcient of static friction between the cylinder and the oor
and between the cylinder and the wall is s . What is the
largest couple M that can be applied
Problem 16.68 Determine the deection of the beam
as a function of x for 0 x L/3.
Solution:
Superimposing the displacements for
and
from Appendix E for the interval 0 x L/3:
ANS:
v=
F (2L/3)x
6LEI
L2
Problem 8.76 A turnbuckle, used to adjust the length
or tension of a bar or cable, is threaded at both ends.
Rotating it draws threaded segments of a bar or cable
together or moves them apart. Suppose
Problem 9.30 Shears, such as the familiar scissors,
have two blades which subject a material to shear stress.
For the shearing process shown, draw a suitable freebody diagram and determine the average
Problem 8.92 The thrust bearing is supported by contact of the collar C with a xed plate. The area of contact
is an annulus with an inside diameter D1 = 40 mm and
an outside diameter D2 = 120 mm. The
Problem 8.83 The pulley of 50-mm radius is mounted
on a shaft of 10-mm radius. The shaft is supported by
two journal bearings. The mass of the block A is 8 kg.
Neglect the weights of the pulley and sh
Problem 8.88 The disk D is rigidly attached to the
vertical shaft. The shaft has at ends supported by thrust
bearings. The disk and the shaft together have a mass
of 220 kg and the diameter of the sha
Problem 8.70 The vise exerts 80-lb forces on A. The
threaded shafts are subjected only to axial loads by the
jaws of the vise. The pitch of their threads is p = 1/8 in.,
the mean radius of the threads
Problem 8.103 The mass of the block A is 14 kg. The
coefcient of kinetic friction between the rope and the
cylinder is 0.2. If the cylinder is rotated at a constant
rate, rst in the counterclockwise d
Problem 9.8 The prismatic bar has a solid circular Free Body Diagram:
cross section with 30-mm radius. It is suspended from
one end and is loaded only by its own weight. The mass
density of the homoge
Problem 9.12 Figure (a) is a diagram of the bones and
biceps muscle of a persons arm supporting a mass. Figure (b) is a biomedical model of the arm in which the
biceps muscle AB is represented by a ba
Problem 9.19 For the truss in Problem 9.18, determine Free Body Diagram:
the average normal stress in member BD acting on a
plane perpendicular to the axis of the member.
Solution:
To solve directly f
Problem 8.97 The mass of the block A is 18 kg. The
rope is wrapped one and one-fourth turns around the
xed wooden post. The coefcients of friction between
the rope and post are s = 0.15 and k = 0.12.
Problem 16.65 For the beam in Problem 16.64 determine the deection as a function of x in the region
0 x L/2.
Solution:
Free Body Diagram:
Summing vertical forces on the beam
Fy = 0 = Ay + By F
[1]
Sum
Problem 16.57 Use the solution of Problem 16.56
to determine the bending moment M in the beam as a
function of x.
Solution:
Superimposing the deections
and
from Appendix E, we get:
v=
F x2
M 0 x2
w 0
Problem 17.21 Suppose that you want to increase the
wall thickness of the cross section of the column in Problem 17.20, while keeping the 0.08-m dimension xed, so
that the columns buckling load is 700
Problem 9.66 The prismatic bar AB in Problem 9.65 Free Body Diagram:
will safely support an average compressive normal stress
of 1.2 MPa on the plane P .
Based on this criterion, what is the largest d
Problem 9.48 When the truss is subjected to the vertical force F , joint A moves a distance v = 0.3 m vertically and a distance u = 0.1 m horizontally. If the
extensional strain AB in the direction pa
Problem 10.1 A prismatic bar with cross-sectional
area A = 0.1 m2 is loaded at the ends in two ways:
(a) by 100-Pa uniform normal tractions; (b) by 10-N axial
forces acting at the centroid of the bars
Problem 10.32
Bar AB has cross-sectional area A = 100 mm2 and
modulus of elasticity E = 102 Gpa. The distance H =
400 mm. If a 200-kN downward force is applied to
bar CD at D, through what angle in de