PRECISION MACHINING TECHNOLOGY PACKAGE
3rd Edition
ISBN: 9780357262788
Author: Hoffman
Publisher: CENGAGE L
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Chapter 6.4, Problem 10RQ
In the formula
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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 6 Solutions
PRECISION MACHINING TECHNOLOGY PACKAGE
Ch. 6.1 - What part of the vertical milling machine allows...Ch. 6.1 - Briefly describe the direction of movement...Ch. 6.1 - When a table handle is turned clockwise the table...Ch. 6.1 - What distance does the saddle or table usually...Ch. 6.1 - Prob. 5RQCh. 6.1 - Briefly describe the function of the turret and...Ch. 6.1 - What is the name of the taper found in most modem...Ch. 6.1 - What part of the vertical mill can be raised and...Ch. 6.1 - How can power quill feed be automatically stopped...Ch. 6.1 - What is a benefit of using a DRO instead of...
Ch. 6.2 - Many of the cutters used in machining are made of...Ch. 6.2 - What is the major advantage of using...Ch. 6.2 - Prob. 3RQCh. 6.2 - What type of cutting tool would most likely be...Ch. 6.2 - Which type of cutter would most likely be used to...Ch. 6.2 - What workpiece factors might cause a four-flute...Ch. 6.2 - List three types of milling cutters that are used...Ch. 6.2 - Most manual vertical milling machine spindles are...Ch. 6.2 - A __________ is used to retain the toolholder in...Ch. 6.2 - What type of toolholder might he selected for...Ch. 6.2 - Sketch a corner-rounding endmill.Ch. 6.2 - What toolholding device uses two drive keys and a...Ch. 6.2 - Prob. 13RQCh. 6.2 - List the four basic pieces of a step clamp set: a....Ch. 6.2 - Prob. 15RQCh. 6.2 - Irregularly shaped work may be held in a custom...Ch. 6.3 - List five safety guidelines to observe when...Ch. 6.3 - Briefly describe the process of aligning a milling...Ch. 6.3 - What is chip load?Ch. 6.3 - Define IPM.Ch. 6.3 - Calculate spindle speed and feed for the two...Ch. 6.3 - Briefly describe the process of locating the...Ch. 6.3 - What are two benefits of boring over other...Ch. 6.3 - What are face milling and peripheral milling?Ch. 6.3 - When squaring a block on the vertical mill, what...Ch. 6.3 - What are the three basic methods used to mill...Ch. 6.3 - What must first be done before milling with either...Ch. 6.3 - Prob. 12RQCh. 6.3 - What diameter cutter should be used to create...Ch. 6.3 - When roughing a pocket, should you machine in a...Ch. 6.4 - What is a rotary axis?Ch. 6.4 - Define the term indexing.Ch. 6.4 - Describe the primary differences between the...Ch. 6.4 - Name three types of workpiece features that are...Ch. 6.4 - Briefly describe the two alignment steps that need...Ch. 6.4 - If the outside of a 6"-diameter disk is to be...Ch. 6.4 - What is the gear ratio found in the gear train of...Ch. 6.4 - When using the indexing head, a __________ can be...Ch. 6.4 - A workpiece requires 9 divisions. Calculate the...Ch. 6.4 - In the formula 40D=T,what do T and D represent?
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