Machine Tool Practices (11th Edition)
11th Edition
ISBN: 9780134893501
Author: Richard R. Kibbe, Roland O. Meyer, Jon Stenerson, Kelly Curran
Publisher: PEARSON
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Textbook Question
Chapter A.4, Problem 1ST
Define the term pitch diameter.
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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 A Solutions
Machine Tool Practices (11th Edition)
Ch. A.1 - Prob. 1STCh. A.1 - Prob. 2STCh. A.1 - Companies are looking for people with good...Ch. A.1 - Prob. 4STCh. A.1 - Prob. 5STCh. A.1 - Prob. 6STCh. A.1 - Prob. 7STCh. A.1 - Prob. 8STCh. A.2 - Prob. 1STCh. A.2 - Prob. 2ST
Ch. A.2 - Prob. 3STCh. A.2 - Prob. 4STCh. A.2 - Prob. 5STCh. A.2 - Prob. 6STCh. A.2 - Prob. 7STCh. A.3 - What is the primary piece of safety equipment in...Ch. A.3 - Prob. 2STCh. A.3 - Prob. 3STCh. A.3 - Prob. 4STCh. A.3 - What hazards exist from coolants, oils, and...Ch. A.3 - Prob. 6STCh. A.3 - Prob. 7STCh. A.3 - Prob. 8STCh. A.3 - Prob. 9STCh. A.3 - Prob. 10STCh. A.3 - Prob. 11STCh. A.4 - Define the term pitch diameter.Ch. A.4 - Name two ways to measure a thread.Ch. A.4 - What is the rule of thumb for the length of...Ch. A.4 - Describe when class two fits are used.Ch. A.4 - Describe UNC and UNF.Ch. A.4 - What is the formula for calculating the OD of a...Ch. A.4 - When are stud bolts used?Ch. A.4 - Prob. 8STCh. A.4 - Explain two reasons why flat washers are used.Ch. A.4 - What is the purpose of a helical spring lock...Ch. A.4 - When is an internal-external tooth lock washer...Ch. A.4 - When are dowel pins used?Ch. A.4 - When are taper pins used?Ch. A.4 - When are roll pins used?Ch. A.4 - What are retaining lings?Ch. A.4 - Prob. 16STCh. A.4 - Prob. 17STCh. A.4 - Prob. 18STCh. A.5 - Prob. 1STCh. A.5 - Prob. 2STCh. A.5 - Prob. 3STCh. A.5 - Prob. 4STCh. A.5 - Prob. 5STCh. A.5 - Prob. 6STCh. A.6 - Prob. 1STCh. A.6 - Prob. 2STCh. A.6 - Prob. 3STCh. A.6 - Prob. 4STCh. A.6 - Prob. 5STCh. A.6 - Prob. 6STCh. A.6 - Prob. 7STCh. A.6 - Prob. 8STCh. A.6 - Prob. 9STCh. A.6 - Prob. 10STCh. A.7 - Prob. 1STCh. A.7 - Prob. 2STCh. A.7 - Prob. 3STCh. A.7 - Prob. 4STCh. A.7 - Prob. 5STCh. A.7 - Prob. 6STCh. A.7 - Prob. 7STCh. A.7 - Prob. 8STCh. A.7 - Prob. 9STCh. A.7 - Prob. 10STCh. A.8 - Prob. 1STCh. A.8 - Prob. 2STCh. A.8 - Prob. 3STCh. A.8 - Prob. 4STCh. A.8 - Prob. 5STCh. A.8 - Prob. 6STCh. A.8 - Prob. 7STCh. A.8 - Prob. 8STCh. A.8 - Prob. 9STCh. A.8 - Prob. 10STCh. A.8 - Prob. 11STCh. A.9 - Prob. 1.1QCCh. A.9 - Prob. 1.2QCCh. A.9 - Prob. 1.3QCCh. A.9 - Prob. 1.4QCCh. A.9 - Prob. 1.5QCCh. A.9 - Prob. 1.6QCCh. A.9 - Prob. 2.1QCCh. A.9 - Prob. 2.2QCCh. A.9 - Prob. 3.1QCCh. A.9 - Prob. 3.2QCCh. A.9 - Prob. 4.1QCCh. A.9 - Prob. 4.2QCCh. A.9 - Prob. 4.3QCCh. A.9 - Prob. 1STCh. A.9 - Prob. 2STCh. A.9 - Prob. 3STCh. A.9 - Prob. 4STCh. A.9 - Prob. 5STCh. A.9 - Prob. 6ST
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