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 B.6, Problem 1ST
What type of tap is used to produce threads that extend almost to the bottom of a blind hole.
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Spur gears
Note : Exam is open notes &tables / Answer all questions.
Q.1. The press shown for Figure.1 has a rated load
of 22 kN. The twin screws have double start Acme
threads, a diameter of 50 mm, and a pitch of 6 mm.
Coefficients of friction are 0.05 for the threads and
0.08 for the collar bearings. Collar diameters are 90
mm. The gears have an efficiency of 95 percent and a
speed ratio of 60:1. A slip clutch, on the motor shaft,
prevents overloading. The full-load motor speed is
1720 rev/min.
(a) When the motor is turned on, how fast will the
press head move? (Vm= , Vser. =
)
(5M)
(b) What should be the horsepower rating of the
motor? (TR=, Tc= Pser. =
"
Bronze
bushings
Foot
Motor
Bearings
watt, Pm= watt, Pm= h.p.) (20M)
2['s
Fig.1
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Problem 2 (55 pts). We now consider the FEM solution of Problem 1.(a) [5pts] Briefly describe the 4 steps necessary to obtain the approximate solution of thatBVP using the Galerkin FEM. Use the minimum amount of math necessary to supportyour explanations.(b) [20pts] Derive the weak form of the BVP.(c) [10pts] Assuming a mesh of two equal elements and linear shape functions, sketch byhand how you expect the FEM solution to look like. Also sketch the analytical solutionfor comparison. In your sketch, identify the nodal degrees of freedom that the FEMsolution seeks to find.(d) [10pts] By analogy with the elastic rod problem and heat conduction problem considered in class, write down the stiffness matrix and force vector for each of the twoelements considered in (c).(e) [10pts] Assemble the global system of equations, and verbally explain how to solve it.
An aluminum rod of length L = 1m has mass density ρ = 2700 kgm3 andYoung’s modulus E = 70GPa. The rod is fixed at both ends. The exactnatural eigenfrequencies of the rod are ωexactn =πnLqEρfor n=1,2,3,. . . .1. What is the minimum number of linear elements necessary todetermine the fundamental frequency ω1 of the system? Discretizethe rod in that many elements of equal length, assemble the globalsystem of equations KU = ω2MU, and find the fundamentalfrequency ω1. Compute the relative error e1 = (ω1 − ωexact1)/ωexact1.Sketch the fundamental mode of vibration.
Chapter B Solutions
Machine Tool Practices (11th Edition)
Ch. B.1 - List several uses of the arbor press.Ch. B.1 - A newly machined steel shaft with an interference...Ch. B.1 - The ram of an arbor press is loose in its guide...Ch. B.1 - When a bushing is pushed into a bore that is...Ch. B.1 - Prob. 5STCh. B.1 - What difference is there in the way a press fit is...Ch. B.1 - Prior to installing a bushing with the arbor...Ch. B.1 - Name five ways to avoid tool breakage and other...Ch. B.2 - Name two types of bench visesCh. B.2 - Prob. 2ST
Ch. B.2 - How can the finished surface of a part be...Ch. B.2 - Name three things that should never be done to a...Ch. B.2 - How should a vise be Lubricated?Ch. B.2 - Prob. 6STCh. B.2 - What advantage does the lever-jawed wrench offer...Ch. B.2 - Some objects should never be struck with a hard...Ch. B.2 - Why should pipe wrenches never be used on bolts,...Ch. B.2 - What are the two important things to remember...Ch. B.3 - What is the kerf?Ch. B.3 - What is the set on a saw blade?Ch. B.3 - What is the pitch of the hacksaw blade?Ch. B.3 - What determines the selection of a saw blade for a...Ch. B.3 - Hand hacksaw blades fall into two basic...Ch. B.3 - Give four causes that make saw blades dull.Ch. B.3 - Give two reasons why hacksaw blades break.Ch. B.3 - A new hacksaw blade should not be used in a cut...Ch. B.4 - What are the four different cuts found on files?Ch. B.4 - Name four coarseness designations for files.Ch. B.4 - Which of the two kinds of files-single cut or...Ch. B.4 - What are the coarseness designations for needle...Ch. B.4 - Prob. 5STCh. B.4 - What causes a file to get dull?Ch. B.4 - Why should a handle be used on a file?Ch. B.4 - How does the hardness of a workpiece affect the...Ch. B.4 - Should pressure be applied to a file on the return...Ch. B.4 - Why is a round file rotated while it is being...Ch. B.5 - Prob. 1STCh. B.5 - What is the purpose of a starting taper on a...Ch. B.5 - What is the advantage of a spiral flute reamer...Ch. B.5 - How does the shank diameter of a hand reamer...Ch. B.5 - Prob. 5STCh. B.5 - Prob. 6STCh. B.5 - What is the purpose of cutting fluid in reaming?Ch. B.5 - Prob. 8STCh. B.5 - How much reaming allowance is left for hand...Ch. B.5 - If you were repairing the lathe tailstock taper,...Ch. B.6 - What type of tap is used to produce threads that...Ch. B.6 - Prob. 2STCh. B.6 - Prob. 3STCh. B.6 - When is a spiral fluted tap used?Ch. B.6 - How are thread-forming taps different from...Ch. B.6 - How are taper pipe taps identified?Ch. B.6 - Why are finishing and roughing Acme taps used?Ch. B.6 - Why are rake angles varied on taps for different...Ch. B.7 - What kind of tools are used to drive taps when...Ch. B.7 - What is a hand tapper?Ch. B.7 - What is a tapping attachment?Ch. B.7 - Which three factors affect the strength of a...Ch. B.7 - How deep should the usable threads be in a tapped...Ch. B.7 - What causes taps to break while tapping?Ch. B.7 - What causes rough and tom threads?Ch. B.7 - Give three methods of removing broken taps from...Ch. B.8 - What is a die?Ch. B.8 - What tool is used to drive a die?Ch. B.8 - How much adjustment is possible with a round split...Ch. B.8 - What are important points to watch when assembling...Ch. B.8 - Why do dies have a chamfer on the cutting end?Ch. B.8 - Why are cutting fluids used?Ch. B.8 - What diameter should a rod be before being...Ch. B.8 - Why should a rod be chamfered before being...Ch. B.9 - Prob. 1STCh. B.9 - Why should a tool grinder never be used for rough...Ch. B.9 - Prob. 3STCh. B.9 - Prob. 4STCh. B.9 - Prob. 5STCh. B.9 - Prob. 6STCh. B.9 - Prob. 7STCh. B.9 - What is the purpose of the wheel blotter?Ch. B.9 - Prob. 9STCh. B.9 - What does the wheel ring test do?
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- Problem 1 (65 pts, suggested time 50 mins). An elastic string of constant line tension1T is pinned at x = 0 and x = L. A constant distributed vertical force per unit length p(with units N/m) is applied to the string. Under this force, the string deflects by an amountv(x) from its undeformed (horizontal) state, as shown in the figure below.The PDE describing mechanical equilibrium for the string isddx Tdvdx− p = 0 . (1)(a) [5pts] Identify the BCs for the string and identify their type (essential/natural). Writedown the strong-form BVP for the string, including PDE and BCs.(b) [10pts] Find the analytical solution of the BVP in (a). Compute the exact deflectionof the midpoint v(L/2).(c) [15pts] Derive the weak-form BVP.(d) [5pts] What is the minimum number of linear elements necessary to compute the deflection of the midpoint?(e) [15pts] Write down the element stiffness matrix and the element force vector for eachelement.arrow_forwardProblem 1 (35 pts). An elastic string of constant line tension1 T is pinned at x = 0 andx = L. A constant distributed vertical force per unit length p (with units N/m) is appliedto the string. Under this force, the string deflects by an amount v(x) from its undeformed(horizontal) state, as shown in the figure below.Force equilibrium in the string requires thatdfdx − p = 0 , (1)where f(x) is the internal vertical force in the string, which is given byf = Tdvdx . (2)(a) [10pts] Write down the BVP (strong form) that the string deflection v(x) must satisfy.(b) [2pts] What order is the governing PDE in the BVP of (a)?(c) [3pts] Identify the type (essential/natural) of each boundary condition in (a).(d) [20pts] Find the analytical solution of the BVP in (a).arrow_forwardProblem 2 (25 pts, (suggested time 15 mins). An elastic string of line tension T andmass per unit length µ is pinned at x = 0 and x = L. The string is free to vibrate, and itsfirst vibration mode is shown below.In order to find the frequency of the first mode (or fundamental frequency), the string isdiscretized into a certain number of linear elements. The stiffness and mass matrices of thei-th element are, respectivelyESMi =TLi1 −1−1 1 EMMi =Liµ62 11 2 . (2)(a) [5pts] What is the minimum number of linear elements necessary to compute the fundamental frequency of the vibrating string?(b) [20pts] Assemble the global eigenvalue problem and find the fundamental frequency ofvibration of the stringarrow_forward
- I need part all parts please in detail (including f)arrow_forwardProblem 3 (10 pts, suggested time 5 mins). In class we considered the mutiphysics problem of thermal stresses in a rod. When using linear shape functions, we found that the stress in the rod is affected by unphysical oscillations like in the following plot E*(ux-a*T) 35000 30000 25000 20000 15000 10000 5000 -5000 -10000 0 Line Graph: E*(ux-a*T) MULT 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Arc length (a) [10pts] What is the origin of this issue and how can we fix it?arrow_forwardanswer the questions and explain all of it in words. Ignore where it says screencast and in class explanationarrow_forward
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