
PRECISION MACHINING TECHNOLOGY PACKAGE
3rd Edition
ISBN: 9780357262788
Author: Hoffman
Publisher: CENGAGE L
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Question
Chapter 3.2, Problem 11RQ
To determine
The tool that can be used as a reference plane while performing layout.
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
Chapter 3 Solutions
PRECISION MACHINING TECHNOLOGY PACKAGE
Ch. 3.1 - Information such as tolerances and scale can be...Ch. 3.1 - What view of a drawing usually shows the most...Ch. 3.1 - Prob. 3RQCh. 3.1 - The line type used to show edges of an object that...Ch. 3.1 - What line type is used to show edges of an object...Ch. 3.1 - What two line types work together to show sizes on...Ch. 3.1 - Identify the line types labeled in the print...Ch. 3.1 - Define and briefly describe the following...Ch. 3.1 - A dimension listed on an engineering drawing is...Ch. 3.1 - List and briefly describe the three types of...
Ch. 3.1 - Briefly describe the difference between a...Ch. 3.1 - The relationship between sizes of mating parts is...Ch. 3.1 - What does GDT stand for?Ch. 3.1 - A plane used as a reference for dimensions is...Ch. 3.1 - A GDT symbol and the amount of tolerance are shown...Ch. 3.1 - What are the five categories of symbols used in...Ch. 3.1 - What is a feature of size?Ch. 3.1 - Briefly explain the benefit of a position...Ch. 3.2 - Prob. 1RQCh. 3.2 - What is the purpose of layout fluid (dye)?Ch. 3.2 - Prob. 3RQCh. 3.2 - Briefly define a scriber and its use.Ch. 3.2 - What two angles can be laid out with the...Ch. 3.2 - What two tasks can a divider be used to perform?Ch. 3.2 - What safety precautions should be observed when...Ch. 3.2 - What would the divider setting be to scribe a...Ch. 3.2 - What would the divider setting be to scribe an arc...Ch. 3.2 - Prob. 10RQCh. 3.2 - Prob. 11RQCh. 3.2 - Briefly describe the use of a surface gage.Ch. 3.3 - What are three safety rules to observe when using...Ch. 3.3 - List three types of screwdriver tips.Ch. 3.3 - What is the advantage of using slip joint pliers?Ch. 3.3 - What is an advantage of using locking pliers?Ch. 3.3 - What are two uses for a ball peen hammer?Ch. 3.3 - What is the advantage of a soft face hammer?Ch. 3.3 - In what situation would a box-end wrench be chosen...Ch. 3.3 - List two precautions to observe when using...Ch. 3.3 - What is one method of preventing damage to work...Ch. 3.3 - List three safety precautions to be observed when...Ch. 3.3 - In which direction should hacksaw blade teeth...Ch. 3.3 - List two safety precautions that should be...Ch. 3.3 - Will a single-cut or a double-cut file remove...Ch. 3.3 - Will a single-cut or a double-cut file produce a...Ch. 3.3 - ___________ and _________ are two common filing...Ch. 3.3 - What tool is used to clean a file?Ch. 3.3 - What are the two forms of abrasives used in...Ch. 3.4 - Sawing machines can be divided into roughly four...Ch. 3.4 - The vertical band saw is particularly useful, as...Ch. 3.4 - The horizontal band saw is ideal for cutting...Ch. 3.4 - Cutting action on the power hacksaw is very...Ch. 3.4 - List three safety precautions to observe when...Ch. 3.4 - Briefly describe the process to prepare for...Ch. 3.4 - List three safety precautions to observe when...Ch. 3.4 - What type of band saw blade has HSS teeth welded...Ch. 3.4 - How many saw teeth should be engaged in the...Ch. 3.4 - Name the three different types of tooth patterns.Ch. 3.4 - What are the three types of tooth set and why is...Ch. 3.4 - The slot created in a workpiece by the saw blade...Ch. 3.4 - Explain how to use a push stick.Ch. 3.4 - Saws should be ____________ _____________ when a...Ch. 3.4 - Saw guides should be mounted ________ above the...Ch. 3.4 - Why must a band saw blade be annealed after...Ch. 3.4 - Why does a band saw blade need to be ground after...Ch. 3.4 - Clearance between the vertical band saw guides and...Ch. 3.4 - Band saw cutting speeds are given in _________.Ch. 3.5 - What is the main benefit of offhand abrasive...Ch. 3.5 - What type of metals should not be ground on a...Ch. 3.5 - Which wheel is finer, a 60 grit or a 36 grit?Ch. 3.5 - If a grinder runs at 3400 RPM and you have a wheel...Ch. 3.5 - How is a ring test performed?Ch. 3.5 - Why is it necessary to have blotters on both sides...Ch. 3.5 - The maximum distance that a spark breaker and tool...Ch. 3.5 - When should a grinding wheel be dressed?Ch. 3.5 - Where should you stand when using a grinder?Ch. 3.6 - Define drilling.Ch. 3.6 - What factors might determine when a hole must be...Ch. 3.6 - Prob. 3RQCh. 3.6 - Explain the purpose of a counterbore.Ch. 3.6 - What is the purpose of the pilot on a counterbore?Ch. 3.6 - What should be done as a drill nears the...Ch. 3.6 - Define thread as it relates to benchwork.Ch. 3.6 - Explain the major diameter of a thread.Ch. 3.6 - What is the TPI of a -20 thread?Ch. 3.6 - Name two types of tap wrenches.Ch. 3.6 - A 3/8-16 threaded hole needs to be tapped deeper....
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