Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN: 9781305494695
Author: Larry Jeffus
Publisher: Cengage Learning
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Chapter 21, Problem 4R
To determine
The label of given lines using leaders and arrows.
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12.
Figure Q12 shows a prospective design for a conveyor roller system, for transferring
crates, one at a time. The system is made up of two parallel rectangular steel
beams, built-in at one end and simply supported at the other, with closely spaced
rollers mounted in-between, for the crate to pass over.
a) Using Macaulay notation, carry out an analysis of the problem and calculate
the deflection of the mid-length point of the beams when the crate is
centrally located, midway between A and B. State any important
assumptions used in your analysis.
[20 marks]
b) Comment briefly whether this would be the maximum deflection of the beams
when the crate is centrally located.
2 m
8 m
A
Direction of travel
Figure Q12 (side view, only one beam visible)
Useful information
I for each separate beam = 12 ×10 m²
E for both beams = 210 GPa
Weight of one crate = 800 N
[5 marks]
B
11.
A ring (side view shown in Figure Q11) has a circular solid cross-section of 5 mm
diameter. The ring itself has a radius of R = 100 mm and a very narrow gap at point
A, that allows the two free ends to be pulled apart by forces P, increasing the size of
the gap.
○
P
A
Figure Q11
P
a) Show that the total strain energy of the ring due to the applied forces is:
U =
3πP²R³
2EI
[12 marks]
b) Find the maximum bending stress produced if forces of P = 8 N are applied.
[6 marks]
c) What minimum force P would cause the material in the ring to yield and at
which locations could this yielding begin to occur?
Useful information
E for the ring material = 75 GPa
Oyield for the ring material = 190 MPa
[7 marks]
Q2(15 Marks): From Fig. 2, Determine
(a) mass equivalent in term x2, (b)
stiffness equivalent in term x2, and (c) the
natural frequency for the system in term
x2. Note: (1) J Cylinder =
mcr?
J link
(2)
2
3
Pulley, mass moment of
inertia J
Rigid link 1 (mass m₁),
rotates with pulley.
about O
Cylinder, mass m
Adherence to the symbols as in the question
152 153
xx(1)
Fig. (2)
m
k₁
nimmunizmu
Rigid link 2 (mass m₂)
Chapter 21 Solutions
Welding: Principles and Applications (MindTap Course List)
Ch. 21 - Give examples of drawing pages that might be...Ch. 21 - The title box on a drawing can contain what...Ch. 21 - Where would a welder look in the set of drawings...Ch. 21 - Prob. 4RCh. 21 - What type of lines can be used in a drawing to...Ch. 21 - Describe what phantom lines are in a drawing.Ch. 21 - Compare an orthographic projection (mechanical...Ch. 21 - A mechanical drawing usually includes which three...Ch. 21 - List two types of pictorial drawings that can be...Ch. 21 - What view might be used to show part of an object...
Ch. 21 - What kind of information does a detail view on a...Ch. 21 - The height of an object would be found on which of...Ch. 21 - What is the difference between "as drawn" and "as...Ch. 21 - Prob. 14RCh. 21 - What is the difference between architectural...Ch. 21 - Why is knowing how to sketch a drawing a valuable...Ch. 21 - Prob. 17R
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