SECTION 1.7
Solution 1.7-14
P
Allowable Stresses and Allowable Loads
Piston and connecting rod
A
M
C
R
L
B
The maximum allowable force P occurs when cos
has its smallest value, which means that has i
SECTION 2.8
Problem 2.8-4 A block weighing W 5.0 N drops inside a cylinder
from a height h 200 mm onto a spring having stiffness k 90 N/m
(see figure).
(a) Determine the maximum shortening of the spri
SECTION 2.6
Problem 2.6-17 The normal stress on plane pq of a prismatic bar in
tension (see figure) is found to be 7500 psi. On plane rs, which makes
an angle 30 with plane pq, the stress is found to
74
CHAPTER 2 Axially Loaded Members
DETERMINE THE ANGLE
From Eq. (2): cos cos u
S elongation of spring
Therefore,
2b cos u cos u
S2 S1 b(cos cos )
For the spring: F k(S)
F bk(cos cos )
Substitute
56
CHAPTER 1
Tension, Compression, and Shear
Solution 1.8-11
Cage hoisted by a crane
W
From geometry:
L2
b 2
c 2
h2
2
2
(13 ft)2 (3 ft)2 (4 ft)2 h2
Solving, h 12 ft
B
FORCE IN A CABLE
T
TV
A
A
T for
8
CHAPTER 1
Tension, Compression, and Shear
Problem 1.2-10 Solve the preceding problem if the load P 32 kN; the
cable has effective cross-sectional area A 481 mm2; the dimensions of
the crane are H 1.
SECTION 3.9
Solution 3.9-8
Strain Energy in Torsion
Cantilever bar with distributed torque
t0
t(x) = t0
dx
x
L
x
x distance from right-hand end of the bar
d
L
STRAIN ENERGY OF ELEMENT dx
ELEMENT d
Con
236
CHAPTER 3
Torsion
Strain Energy in Torsion
Problem 3.9-1 A solid circular bar of steel (G 11.4 106 psi)
with length L 30 in. and diameter d 1.75 in. is subjected to
pure torsion by torques T actin