Introduction To Finite Element Analysis And Design
2nd Edition
ISBN: 9781119078722
Author: Kim, Nam H., Sankar, Bhavani V., KUMAR, Ashok V., Author.
Publisher: John Wiley & Sons,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1, Problem 18E
A stepped bar is clamped at both ends. A force of
a. Sketch the displacement field
b. Calculate the stress at a distance of 2.5 m from the left support.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The bar in the figure of length L has Young's modulus E and cross-sectional area A. Said bar is subjected to an axially distributed load of intensity p(x) units of force per unit of length. It is requested to determine the displacement field u(x) of the bar.
Consider the following three bar system shown on the right. Assume for elements 1 and 2, A = 1.2 in^2 and E = 25*10^6 psi, and for element 3, A = 3 in^2 and E = 10*10^6 psi. There is a Force applied to the system at node 2, in +x axis direction. Force at node 2 is = 5000 lb.
Determine:
a) All local stiffness matrixes
b) Global stiffness matrix
c) The displacement of nodes of 2 and 3
The system in the figure consists of AB copper bars with a diameter of 30 mm and BC aluminum bars with a diameter of 22 mm.The modulus of elasticity of copper is 110 GPa and that of aluminum is 75 GPa. Find the displacement of the point C with respect to the given.
Chapter 1 Solutions
Introduction To Finite Element Analysis And Design
Ch. 1 - Answer the following descriptive questions a....Ch. 1 - Calculate the displacement at node 2 and reaction...Ch. 1 - Repeat problem 2 by changing node numbers; that...Ch. 1 - Three rigid bodies, 2,3, and 4, are connected by...Ch. 1 - Three rigid bodies, 2,3, and 4, are connected by...Ch. 1 - Consider the spring-rigid body system described in...Ch. 1 - Four rigid bodies, 1, 2, 3, and 4, are connected...Ch. 1 - Determine the nodal displacements, element forces,...Ch. 1 - In the structure shown, rigid blocks are connected...Ch. 1 - The spring-mass system shown in the figure is in...
Ch. 1 - A structure is composed of two one-dimensional bar...Ch. 1 - Two rigid masses, 1 and 2, are connected by three...Ch. 1 - Use the finite element method to determine the...Ch. 1 - Consider a tapered bar of circular cross section....Ch. 1 - The stepped bar shown in the figure is subjected...Ch. 1 - Using the direct stiffness matrix method, find the...Ch. 1 - A stepped bar is clamped at one end and subjected...Ch. 1 - A stepped bar is clamped at both ends. A force of ...Ch. 1 - Repeat problem 18 for the stepped bar shown in the...Ch. 1 - The finite element equation for the uniaxial bar...Ch. 1 - The truss structure shown in the figure supports a...Ch. 1 - The properties of the two elements of a plane...Ch. 1 - For a two-dimensional truss structure as shown in...Ch. 1 - The 2D truss shown in the figure is assembled to...Ch. 1 - For a two-dimensional truss structure as shown in...Ch. 1 - The truss shown in the figure supports force Fat...Ch. 1 - Prob. 27ECh. 1 - In the finite element model of a plane truss in...Ch. 1 - Use the finite element method to solve the plane...Ch. 1 - The plane truss shown in the figure has two...Ch. 1 - Two bars are connected as shown in the figure....Ch. 1 - The truss structure shown in the figure supports...Ch. 1 - It is desired to use the finite element method to...Ch. 1 - Determine the member force and axial stress in...Ch. 1 - Determine the normal stress in each member of the...Ch. 1 - The space truss shown has four members. Determine...Ch. 1 - The uniaxial bar shown below can be modeled as a...Ch. 1 - In the structure shown below, the temperature of...Ch. 1 - Prob. 39ECh. 1 - The three-bar truss problem in figure 1.23 is...Ch. 1 - Use the finite element method to determine the...Ch. 1 - Repeat problem 41 for the new configuration with...Ch. 1 - Repeat problem 42 with an external force added to...Ch. 1 - The properties of the members of the truss in the...Ch. 1 - Repeat problem 44 for the truss on the right side...Ch. 1 - The truss shown in the figure supports the force ....Ch. 1 - The finite element method as used to solve the...Ch. 1 - Prob. 48E
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
ICA 12-14
Solid objects, such as your desk or a rod of aluminum, can conduct heat. The magnitude of the therma...
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
When 2000 L/min of water flows through a circular section with an inside diameter of 300 mm that later reduces ...
Applied Fluid Mechanics (7th Edition)
The design condition for a space is 77 F (25 C) db and 50 percent relative humidity with 55 F (13 C) db supply ...
Heating Ventilating and Air Conditioning: Analysis and Design
1.1 What is the difference between an atom and a molecule? A molecule and a crystal?
Manufacturing Engineering & Technology
Determine the reactions at the supports. Prob. 4-6
Statics and Mechanics of Materials (5th Edition)
A piston/cylinder arrangement with a linear spring similar to Fig. P3.33 contains R-134a at 60 F, x=0.6 and a v...
Fundamentals Of Thermodynamics
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
- A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed torque t1acting aver segment 1 and concentrated torque t2applied at C, as shown in the figure. Segment 1 of the shaft has a diameter of d1= 57 mm and length of L1= 0.75 m; segment 2 has a diameter d2— 44 mm and length L2= 0.5 m. Torque intensity /,"= 3100 N . m/m and T2= 1100 N. m. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: .x = L1/2 and at .x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams.arrow_forwardA bungee cord that behaves linearly elastically has an unstressed length L0= 760 mm and a stiffness k = 140 N/m. The cord is attached to two pegs, distance/? = 380 mm apart, and is pulled at its midpoint by a Force P = 80 N (see figure). (a) How much strain energy U is stored in the cord? (b) What is the displacement Scof the point where the load is applied? (c) Compare the strain energy (with the quantity PSC12. Note: The elongation of the cord is not small compared lo its original length.arrow_forwardIn the figure, copper AB copper with a diameter of 24 mm and BC steel bars with a diameter of 20 mm are rigidly connected to each other at point B. A force of 6 kN was applied to the rod at the B point and 12 kN at the C point. Since the modulus of elasticity of copper is 100 GPa and the modulus of elasticity of steel is 200 GPa, find the displacement of the C point.arrow_forward
- Suppose that the assembled stiffness matrix of question 1 (as shown below) is as follows: [K]=108×a-a0-aa+b-b0-bb where a=4.06 N/m and b=2.28 N/m. If the applied force at node 3 is P=210 KN, find the displacement of node 2 in mm?arrow_forwardFind the change in length between the points A and D on the bar given in the figure E= 4.10 5kN/cm2arrow_forwardFind the natural frequency (in Hertz) of the system illustrated in the following figure. Consider the length of the rigid bar as 2L and assume K1=4,659 N/m, K2=5,977 N/m, M=0.6 kg, L=0.5 m and g=9.81 m/s2.arrow_forward
- The dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.arrow_forwardSafe normal and non-slip of wooden beam material stresses are respectively σem = 10 MPa and τem = 0.8 MPa. The maximum q that a simple beam can carry is Find the distributed charge.arrow_forwardThe cylindrical AC aluminum and CB steel bars in the figure are combined and placed between two rigid plates at A and B, but there is a gap of A=0.1 mm between the B plate and the bars. The modulus of elasticity of aluminum is E-70 GPa and the cross-sectional area is A-400 mm², the modulus of elasticity of steel is Eç-210 GPa and the cross-sectional area is -200 mm³. the lengths of the bars are LAC-200 mm and L CB-600 mm. Since a load of P-30 kN is applied to point C What is the stress in the AC aluminum bar?arrow_forward
- The cylindrical AC aluminum and CB steel bars in the figure are combined and placed between two rigid plates at A and B, but there is a gap of A=0.1 mm between the B plate and the bars. The modulus of elasticity of aluminum is E-70 GPa and the cross-sectional area is A-400 mm², the modulus of elasticity of steel is Eç-210 GPa and the cross-sectional area is -200 mm³. the lengths of the bars are LAC-200 mm and L CB-600 mm. Since a load of P-30 kN is applied to point C What is the displacement of the bar AC?arrow_forwardfind the deflection under the load f in the following sketch using the following two approaches: a. Assume the bar is rigid ( EI don't matter) using the Principe of Stationary Potentiel Energy. b. Assume the bar is flexible (EI matter) using the rayleigh-ritz method. hint: you can assume a polynomial displacement field with two d.o.f. c. How do the answers from parts (a) and (b) compare if, in part (b), you also assume that ei = kl3? in this case, you should be able to write your displacement for part (b) again in terms of only f, k, and maybe l.arrow_forwardQuestion 1) In the beam whose loading condition is given in the figure, F force F= 79 kN, w1 distributed load w1= 44 kN/m, w2 distributed load w2= 55 kN/m, θ angle θ= 49° and L length L= 9 m given. According to this;Question 1-A) Find the support response in the y direction (By) at point B. (Enter your result without writing kN units.)Question 1-B) Find the support response in the y direction (Ay) at point A. (Enter your result without writing kN units.)Question 1-C) Find the support response in the x direction (Ax) at point A. (Enter your result without writing kN units.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY