Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 3.44P
Determine the resultant of the load system shown. Locate where the resultant intersects grade with respect to point A at the base of the structure.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule04:58
Students have asked these similar questions
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
Worm
Collar
bearing
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 3 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 3 - through 3.3 Determine the magnitude, direction,...Ch. 3 - Determine the magnitude, direction, and sense of...Ch. 3 - Determine the magnitude, direction, and sense of...Ch. 3 - Solve Problem 3.1 through 3.3 using the method of...Ch. 3 - Solve Problem 3.1 through 3.3 using the method of...Ch. 3 - through 3.6 Solve Problem 3.1 through 3.3 using...Ch. 3 - The 150-lb force shown is the resultant of two...Ch. 3 - Find the resultant force P exerted on the tree.Ch. 3 - Find the resultant force R exerted on the pole.Ch. 3 - Calculate the resultant force on the screw eye....
Ch. 3 - Determine the resultant of the coplanar concurrent...Ch. 3 - Use the parallelogram law to find the following...Ch. 3 - Prob. 3.13PCh. 3 - Determine the resultant of the coplanar concurrent...Ch. 3 - The resultant of the concurrent force system shown...Ch. 3 - Three force of 900 lb, 1000 lb, and 600 lb are...Ch. 3 - The four forces shown hade parallel lines of...Ch. 3 - Three coplanar concurrent forces act as shown. a....Ch. 3 - Four coplanar concurrent forces act as shown a....Ch. 3 - Determine the resultant of the four forces of...Ch. 3 - For the concrete wall and footing shown: a....Ch. 3 - Calculate the moment of the 550-lb force about...Ch. 3 - In Problem 3.22 , calculate the moment about point...Ch. 3 - Compute the moment about point A for the linkage...Ch. 3 - Compute the moment of the force F about point A...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the resultant and its location for the...Ch. 3 - Compute the magnitude, sense, and location of the...Ch. 3 - Compute the magnitude, sense, and location of the...Ch. 3 - Compute the magnitude and location of the...Ch. 3 - Determine the magnitude and location of the...Ch. 3 - Fresh water is impounded behind a dam to a height...Ch. 3 - Determine the magnitude and location of the...Ch. 3 - Determine the magnitude and location of the...Ch. 3 - Compute the magnitude and direction of the...Ch. 3 - Compute the magnitude and direction of the...Ch. 3 - Compute the magnitude and direction of the...Ch. 3 - A body is subjected to the following three...Ch. 3 - Determine the magnitude, direction, and sense of...Ch. 3 - Determine the magnitude, direction, and sense of...Ch. 3 - Determine the resultant of the load system shown....Ch. 3 - For the concrete structure shown, determine the...Ch. 3 - For the following computer problems, any...Ch. 3 - For the following computer problems, any...Ch. 3 - For the following computer problems, any...Ch. 3 - 3.49 Determine the magnitude, direction, and sense...Ch. 3 - The resultant and one-component force of a...Ch. 3 - The resultant force of a concurrent force system...Ch. 3 - Determine the magnitudes of forces P1 and P2 such...Ch. 3 - The resultant force of a concurrent force system...Ch. 3 - A hockey puck is acted on simultaneously by two...Ch. 3 - Determine the resultant force for each of the...Ch. 3 - Determine the resultant force for each of the...Ch. 3 - The resultant of the three concurrent forces shown...Ch. 3 - The transmission tower shown is subjected to a...Ch. 3 - A gravity-type masonry dam, as shown, depends on...Ch. 3 - The transfomer (as shown) must be lifted...Ch. 3 - Refer to the diagram for Problem 3.60 /. Assume...Ch. 3 - The plastic barrel tent anchor of Problem 2.11...Ch. 3 - Calculate the moment of the forces shown with...Ch. 3 - Determine the magnitude and location of the...Ch. 3 - Determine the moment (about point A) of the appied...Ch. 3 - The lift force on the wing of an aircraft is...Ch. 3 - A beam is subjected to distributed loads as shown....Ch. 3 - For the concrete gravity wall shown, determine the...Ch. 3 - Fresh water is impounded to a height of 8 ft...Ch. 3 - Plank, 2 in. by 10 in. in cross section and 5 ft...Ch. 3 - a. Compute the moment (about point A) of the...Ch. 3 - Determine the resultant of the three forces acting...Ch. 3 - a. Calculate the moments about points A and B due...Ch. 3 - Determine the magnitude of F1 and F2 shown such...Ch. 3 - Calculate the magnitude, direction, and sense of...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Create a class SubstitutionCipher that implements the interface MessageEncoder, as described in the previous ex...
Java: An Introduction to Problem Solving and Programming (8th Edition)
What are some of the attractive features of ultrasonic welding?
Degarmo's Materials And Processes In Manufacturing
What makes Python an interpreted programming language?
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
3.1 Discuss the differences between an error and a residual.
Elementary Surveying: An Introduction To Geomatics (15th Edition)
Explain why SQL is called a set-oriented language.
Modern Database Management
Describe a method that can be used to gather a piece of data such as the users age.
Web Development and Design Foundations with HTML5 (8th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License