DESIGN OF MACHINERY (LL W/ CONNECT)
6th Edition
ISBN: 9781265116712
Author: Norton
Publisher: MCG CUSTOM
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Question
Chapter 2, Problem 2.10P
To determine
The transformation of linkage in Figure P2-1d into 2 DOF
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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 2 Solutions
DESIGN OF MACHINERY (LL W/ CONNECT)
Ch. 2 - Find three (or other number as assigned) of the...Ch. 2 - How many DOF do you have in your wrist and hand...Ch. 2 - How many DOF do the following joints have? Your...Ch. 2 - How many DOF do the following have in their normal...Ch. 2 - Are the joints in Problem 2-3 force closed or form...Ch. 2 - Describe the motion of the following items as pure...Ch. 2 - Calculate the mobility of the linkages assigned...Ch. 2 - Identify the items in Figure P2-1 as mechanisms,...Ch. 2 - Use linkage transformation on the linkage of...Ch. 2 - Prob. 2.10P
Ch. 2 - Use number synthesis to find all the possible link...Ch. 2 - Prob. 2.12PCh. 2 - Use linkage transformation to create a 1-DOF...Ch. 2 - Use linkage transformation to create a 1-DOF...Ch. 2 - Calculate the Grashof condition of the fourbar...Ch. 2 - Prob. 2.16PCh. 2 - Describe the difference between a cam-follower...Ch. 2 - Examine an automobile hood hinge mechanism of the...Ch. 2 - Find an adjustable arm desk lamp of the type shown...Ch. 2 - The torque-speed curve for a 1/8 hp permanent...Ch. 2 - Find the mobility of the mechanisms in Figure...Ch. 2 - Find the Grashof condition and Barker...Ch. 2 - Find the rotatability of each loop of the...Ch. 2 - Find the mobility of the mechanisms in Figure...Ch. 2 - Find the mobility of the ice tongs in Figure P2-6:...Ch. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Find the mobility of the corkscrew in Figure P2-9.Ch. 2 - Figure P2-10 shows Watts sun and planet drive that...Ch. 2 - Figure P2-11 shows a bicycle handbrake lever...Ch. 2 - Figure P2-12 shows a bicycle brake caliper...Ch. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - The approximate torque-speed curve and its...Ch. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - Sketch the equivalent linkage for the cam and...Ch. 2 - Describe the motion of the following rides,...Ch. 2 - For the mechanism in Figure P2-1 a, number the...Ch. 2 - Repeat Problem 2-38 for Figure P2-1b.Ch. 2 - Repeat Problem 2-38 for Figure P2-1c.Ch. 2 - Prob. 2.41PCh. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - Find the mobility, the Grashof condition, and the...Ch. 2 - Figure P2-20 shows a Rube Goldberg mechanism that...Ch. 2 - All the eightbar linkages in Figure 2-11 part 2...Ch. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Find the mobility of the mechanism shown in Figure...Ch. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Repeat Problem 2-38 for Figure P2-1f.Ch. 2 - Repeat Problem 2-38 for Figure P2-1g.Ch. 2 - For the example linkage shown in Figure 2-4 find...Ch. 2 - For the linkage shown in Figure 2-5b find the...Ch. 2 - Prob. 2.58PCh. 2 - Figure P2-21b shows a mechanism. Find its mobility...Ch. 2 - Prob. 2.60PCh. 2 - Figure P2-21 d shows a log transporter. Draw a...Ch. 2 - Figure P2-21e shows a plow mechanism attached to a...Ch. 2 - Figure P2-22 shows a Hart inversor sixbar linkage....Ch. 2 - Figure P2-23 shows the top view of the partially...Ch. 2 - Figure P2-24a shows the seat and seat-back of a...Ch. 2 - Figure P2-24b shows the mechanism used to extend...Ch. 2 - Figure P2-24b shows the mechanism used to extend...Ch. 2 - Figure P2-25 shows a sixbar linkage. Is it a Watt...Ch. 2 - Use number synthesis o find all the possible link...Ch. 2 - Use number synthesis to find all the possible link...Ch. 2 - Prob. 2.71PCh. 2 - For the mechanism in Figure P2-26, number the...Ch. 2 - Figure P2-27 shows a schematic of an exercise...Ch. 2 - Calculate the mobility of the linkage in Figure...Ch. 2 - Calculate the Grashof condition of the fourbar...Ch. 2 - The drum brake mechanism in Figure P2-4g is a...
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