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,
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Textbook Question
Chapter 1, Problem 37E
The uniaxial bar shown below can be modeled as a one-dimensional bar. The bar has the following properties:
a. Calculate the global matrix equation after applying boundary conditions.
b. Solve for the displacement
c. What is the element force P in the bar?
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A copper rod 6cm in diameter is placed within a steel tube, 8cm external diameter and 6cm internal diameter, of exactly the same length. The two pieces are rigidly fixed together by two transverse pins 20mm in diameter,one at each end passing through both rod and the tube.
Calculate the stresses induced in the copper rod, steel tube and the pins if the temperature of the combination is raised by 50°C, take: E,= 210 GPa and a,= 0.0000115 per deg C. E= 105 GPa and a,= 0.000017 per deg C.
Calculate the stresses induced in the copper rod. steel tube.
Calculate the stresses induced in the pins if the temperature of the combination is raised by 50°C,
A copper cylinder 150mm outside diameter has walls 25mm thick. End plates are stayed by a 25mm diameter bar of steel which passes through the cylinder and is just tight at -11°C. Estimate the stress in cylinder and stay when steam at atmospheric atmosphere (100°C) is admitted. Assume the end plates do not deform.
Use the following values:
αC = 17 x 10-6/°C
EC = 117 GPa
αs = 12 x 10-6/°C
A copper cylinder 150mm outside diameter has walls 25mm thick. End plates are stayed by a 25mm diameter bar of steel which passes through the cylinder and is just tight at -11°C. Estimate the stress in cylinder and stay when steam at atmospheric atmosphere (100°C) is admitted. Assume the end plates do not deform.
Use the following values:
ac = 17 x 106/°C
Ec = 117 GPa
as = 12 x 106/0c
Es = 200 GPa
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
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