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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Chapter C.7, Problem 7ST
To determine
Handling precautions for preservation of gage block accuracy.
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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 C Solutions
Machine Tool Practices (11th Edition)
Ch. C.1 - Prob. 1STCh. C.1 - Prob. 2STCh. C.1 - Prob. 3STCh. C.1 - Prob. 4STCh. C.1 - Prob. 5STCh. C.1 - Prob. 6STCh. C.1 - Prob. 7STCh. C.1 - Prob. 8STCh. C.1 - Prob. 9STCh. C.1 - Prob. 10ST
Ch. C.2 - Prob. 1STCh. C.2 - Prob. 2STCh. C.2 - Prob. 3STCh. C.2 - Prob. 4STCh. C.2 - Prob. 5STCh. C.2 - Prob. 6STCh. C.2 - Prob. 7STCh. C.2 - Prob. 8STCh. C.2 - Prob. 9STCh. C.2 - Can an inch machine tool be converted to work in...Ch. C.3 - Prob. 1.1STCh. C.3 - Prob. 1.2STCh. C.3 - Prob. 1.3STCh. C.4 - Prob. 1.1STCh. C.4 - Prob. 1.2STCh. C.4 - Prob. 1.3STCh. C.5 - Prob. 1STCh. C.5 - Prob. 2STCh. C.5 - Prob. 3STCh. C.5 - Prob. 4STCh. C.5 - Prob. 5STCh. C.5 - Prob. 6STCh. C.5 - Prob. 7STCh. C.5 - Prob. 8STCh. C.5 - Prob. 9STCh. C.5 - Prob. 10STCh. C.5 - Prob. 11STCh. C.5 - Prob. 1.1STCh. C.5 - Prob. 1.2STCh. C.5 - Prob. 2.1STCh. C.5 - Prob. 3.1STCh. C.5 - Prob. 4.1STCh. C.6 - What is comparison measurement?Ch. C.6 - Define cosine error.Ch. C.6 - Prob. 3STCh. C.6 - Prob. 4STCh. C.6 - Prob. 5STCh. C.6 - Prob. 6STCh. C.6 - Prob. 7STCh. C.6 - Prob. 8STCh. C.7 - What is a wringing interval?Ch. C.7 - Why are wear blocks frequently used in combination...Ch. C.7 - As related to gage block use, what is meant by the...Ch. C.7 - Prob. 4STCh. C.7 - What is a conditioning stone and how is it used?Ch. C.7 - Prob. 6STCh. C.7 - Prob. 7STCh. C.7 - Prob. 8STCh. C.7 - Prob. 9STCh. C.7 - Prob. 10STCh. C.8 - Name two angular measuring instruments with one...Ch. C.8 - What is the discrimination of the universal bevel...Ch. C.8 - Describe the use of the sine bar.Ch. C.8 - Prob. 4STCh. C.8 - Calculate the required sine bar elevation for an...Ch. C.8 - A 10-inch sine bar is elevated 2.750 inch....Ch. C.8 - How do 10-inch and 5-inch sine bars affect the...Ch. C.8 - What gage block stack would establish an angle of...Ch. C.8 - What gage block stack would establish an angle of...Ch. C.8 - A 10-inch bar is elevated 2.5 inch. What angle is...Ch. C.9 - Prob. 1STCh. C.9 - Prob. 2STCh. C.9 - Prob. 3STCh. C.9 - Prob. 4STCh. C.9 - Prob. 5STCh. C.9 - Prob. 6STCh. C.9 - Prob. 7STCh. C.9 - Prob. 8STCh. C.9 - Prob. 9STCh. C.9 - Prob. 10STCh. C.9 - Prob. 11STCh. C.9 - Prob. 12STCh. C.9 - Prob. 13STCh. C.9 - Prob. 14STCh. C.9 - Prob. 15STCh. C.9 - Prob. 16STCh. C.9 - Prob. 17STCh. C.9 - Prob. 18STCh. C.9 - Prob. 19STCh. C.9 - Prob. 20STCh. C.9 - Prob. 21STCh. C.9 - Prob. 22STCh. C.9 - Prob. 23STCh. C.9 - Prob. 24STCh. C.9 - Prob. 25STCh. C.9 - Prob. 26STCh. C.9 - Prob. 27STCh. C.9 - Prob. 28STCh. C.9 - Prob. 29STCh. C.9 - Prob. 30STCh. C.9 - Prob. 31STCh. C.9 - Prob. 32STCh. C.9 - Prob. 33STCh. C.9 - Prob. 34STCh. C.10 - Prob. 1STCh. C.10 - Prob. 2STCh. C.10 - Prob. 3STCh. C.10 - Prob. 4STCh. C.10 - Prob. 5STCh. C.10 - Prob. 6STCh. C.10 - Prob. 7STCh. C.10 - Prob. 8STCh. C.10 - Prob. 9ST
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