Stoichiometry: Chemical Formulas and Equations Atomic and Molecular Weights
Atomic and Molecular Weights The subscripts in chemical formulas, and the coefficients in chemical equations represent exact quantities. H2O, for example, indicates that a water m

Chapter 3
3-1
Mo 0
450RB 150(500) = 0
RB = 166.7 N
Fy
Ans.
0
Ro RB 500 0
Ro = 333.3 N Ans.
RC RB = 166.7 N Ans.
_
3-2
Body AB:
Fx
0
RAx
RBx
Fy
0
RAy
RBy
MB
RAx
0
RAy (250) RAx (250) = 0
RAy
Body OAC:
MO
0
RAy = 1500 N
Fx
0 ROx
Fy
0 ROy
RAy (250) 500(750)

Chapter 4
4-1
For a torsion bar, k T = T/ = Fl/ , and so = Fl/k T . For a cantilever, k l = F/ , = F/k l . For
the assembly, k = F/y, or, y = F/k = l +
Thus
F Fl 2 F
y
k
kT kl
Solving for k
kl kT
1
k
Ans.
2
l
1 kl l 2 kT
kT kl
_
4-2
For a torsion bar, k T

Chapter 8
Note to the Instructor for Probs. 8-41 to 8-44. These problems, as well as many others in this
chapter are best implemented using a spreadsheet.
8-1
(a) Thread depth= 2.5 mm Ans.
Width = 2.5 mm Ans.
d m = 25 - 1.25 - 1.25 = 22.5 mm
d r = 25 - 5

Chapter 5
5-1
S y = 350 MPa.
MSS: 1 3 = S y /n
DE:
n
A2 A B B2
1/2
n
Sy
1 3
x2 x y y2 3 xy2
1/2
Sy
(a) MSS:
1 = 100 MPa, 2 = 100 MPa, 3 = 0
n
DE:
(b) MSS:
Ans.
(1002 100(100) 1002 )1/2 100 MPa,
350
3.5
100 0
350
3.5
100
Ans.
350
4.04
86.6
Ans.

Chapter 7
7-1
(a) DE-Gerber, Eq. (7-10):
A
4 K f Ma
B
4 K f Mm
d
2
2
3 K fsTa
2
3 K fsTm
8(2)(338.4)
1
210 106
1
4 (2.2)(70)
2
2
3 (1.8)(45)
2
4 (2.2)(55)
2(265.5) 210 10
2
3 (1.8)(35)
2
265.5 N m
1/3
2 1/2
6
338.4 N m
338.4 700 106
d = 25.85 (10 3) m = 2

Chapter 10
10-1
From Eqs. (10-4) and (10-5)
KW
Plot 100(K W
KB
4C 1
4C 4
K B )/ K W vs. C for 4
0.615
C
C
4C 2
4C 3
12 obtaining
We see the maximum and minimum occur at C = 4 and 12 respectively where
Maximum = 1.36 % Ans.,
and Minimum = 0.743 % Ans.
_
A

Chapter 9
Figure for Probs.
9-1 to 9-4
9-1
Given, b = 50 mm, d = 50 mm, h = 5 mm,
allow
= 140 MPa.
F = 0.707 hl allow = 0.707(5)[2(50)](140)(10 3) = 49.5 kN Ans.
_
9-2
Given, b = 50 mm, d = 50 mm, h = 8 mm, t allow = 140 MPa.
F = 0.707 hl allow = 0.707(8)

Chapter 11
11-1
For the deep-groove 02-series ball bearing with R = 0.90, the design life x D , in multiples
of rating life, is
LD 60 D nD 60 25000 350
525 Ans.
D
LR
L10
106
The design radial load is
FD 1.2 2.5
3.0 kN
Ans.
1/3
Eq. (11-6):
C10
3.0
525
0.02

Chapter 2
2-1
From Tables A-20, A-21, A-22, and A-24c,
(a) UNS G10200 HR: S ut = 380 (55) MPa (kpsi), S yt = 210 (30) Mpa (kpsi) Ans.
(b) SAE 1050 CD: S ut = 690 (100) MPa (kpsi), S yt = 580 (84) Mpa (kpsi) Ans.
(c) AISI 1141 Q&T at 540 C (1000 F): S ut =

Chapter 1
Problems 1-1 through 1-6 are for student research. No standard solutions are provided.
From Fig. 1-2, cost of grinding to 0.0125 mm is 260%. Cost of turning to 0.075 mm is
60%.
Relative cost of grinding vs. turning = 260/60 = 4.3 times
Ans.
_
1-

Structure of
peroxisome
- Single membrane
- Small membrane sacs (lipid bilayer)
- 100-500nm in diameter
- Dense matrix is found inside
- Urate oxidase crystaline core
- At least 32 known peroxisomal proteins, called
peroxins in the organelle
- Thickest me

Stoichiometry: Chemical Formulas and Equations The Mole
The Mole Even tiny samples of chemicals contain huge numbers of atoms, ions or molecules. For convenience sake, some kind of reference for a collection of a large number of these objects would be ver

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Patterns of Chemical Reactivity Using the periodic table We can often predict a reaction if we have seen a similar reaction before. For example, sodium (Na) reacts with water (

Stoichiometry: Chemical Formulas and Equations Limiting reactants
Limiting Reactants Suppose you are a chef preparing a breakfast for a group of people, and are planning to cook French toast. You make French toast the way you have always made it: one egg

Stoichiometry: Chemical Formulas and Equations Chemical equations
What happens to matter when it undergoes chemical changes? The law of conservation of mass: Atoms are neither created, nor distroyed, during any chemical reaction Thus, the same collection

Why the different colors?
Where can I see the aurora?
The color of the aurora depends on which gas is being excited
by the electrons and on how much energy is being exchanged.
Oxygen emits either a greenish-yellow light (the most
familiar color of the aur