Solutions for Introduction To Finite Element Analysis And Design
Problem 1E:
Answer the following descriptive questions a. Write five properties of the element stiffness matrix....Problem 2E:
Calculate the displacement at node 2 and reaction forces at nodes 1 and 3 of the springs shown in...Problem 3E:
Repeat problem 2 by changing node numbers; that is, node 3 is now node 1, and node 1 is now node 3....Problem 4E:
Three rigid bodies, 2,3, and 4, are connected by four springs as shown in the figure. A horizontal...Problem 5E:
Three rigid bodies, 2,3, and 4, are connected by six springs as shown in the figure. The rigid walls...Problem 6E:
Consider the spring-rigid body system described in problem 3. What force F2 should be applied on...Problem 7E:
Four rigid bodies, 1, 2, 3, and 4, are connected by four springs as shown in the figure. A...Problem 8E:
Determine the nodal displacements, element forces, and reaction forces using the direct stiffness...Problem 9E:
In the structure shown, rigid blocks are connected by linear springs. Imagine that only horizontal...Problem 10E:
The spring-mass system shown in the figure is in equilibrium under the applied loads. The element...Problem 11E:
A structure is composed of two one-dimensional bar elements. When a 10 N force is applied to node 2,...Problem 12E:
Two rigid masses, 1 and 2, are connected by three springs as shown in the figure. When gravity is...Problem 13E:
Use the finite element method to determine the axial force P in each portion, AB and BC, of the...Problem 14E:
Consider a tapered bar of circular cross section. The length of the bar is 1 m, and the radius...Problem 15E:
The stepped bar shown in the figure is subjected to a force at the center. Use the finite element...Problem 16E:
Using the direct stiffness matrix method, find the nodal displacements and the forces in each...Problem 17E:
A stepped bar is clamped at one end and subjected to concentrated forces as shown. Assume: E=100GPa,...Problem 18E:
A stepped bar is clamped at both ends. A force of is applied as shown in the figure. Areas of cross...Problem 20E:
The finite element equation for the uniaxial bar can be used for other types of engineering problems...Problem 21E:
The truss structure shown in the figure supports a force F. The finite element method is used to...Problem 22E:
The properties of the two elements of a plane truss are given in the table below. Note that an...Problem 23E:
For a two-dimensional truss structure as shown in the figure, determine displacements of the nodes...Problem 24E:
The 2D truss shown in the figure is assembled to build the global matrix equation. Before applying...Problem 25E:
For a two-dimensional truss structure as shown in the figure, determine displacements of the nodes...Problem 26E:
The truss shown in the figure supports force Fat node 2. The finite element method is used to...Problem 28E:
In the finite element model of a plane truss in problem 21, the lengths of elements 1 and 2 are 1 m...Problem 29E:
Use the finite element method to solve the plane truss shown below. Assume . Determine the nodal...Problem 30E:
The plane truss shown in the figure has two elements and three nodes. Calculate the 44 element...Problem 31E:
Two bars are connected as shown in the figure. Assume all joints are frictionless pin joints. At...Problem 32E:
The truss structure shown in the figure supports the force F. The finite element method is used to...Problem 33E:
It is desired to use the finite element method to solve the two plane miss problems shown in the...Problem 34E:
Determine the member force and axial stress in each member of the truss shown in the figure using a...Problem 35E:
Determine the normal stress in each member of the truss structure. All joints are ball joint, and...Problem 36E:
The space truss shown has four members. Determine the displacement components of node 5 and the...Problem 37E:
The uniaxial bar shown below can be modeled as a one-dimensional bar. The bar has the following...Problem 38E:
In the structure shown below, the temperature of element 2 is 50C above the reference temperature....Problem 40E:
The three-bar truss problem in figure 1.23 is under a vertical load fy=5,000N at node 4 in addition...Problem 41E:
Use the finite element method to determine the nodal displacements in the plane truss shown in...Problem 42E:
Repeat problem 41 for the new configuration with element 5 added, as shown in figure (b)
Problem 44E:
The properties of the members of the truss in the left side of the figure are given in the table....Problem 45E:
Repeat problem 44 for the truss on the right side of the figure. The properties of element 6 are...Problem 46E:
The truss shown in the figure supports the force . Both elements have the same axial rigidity of ,...Browse All Chapters of This Textbook
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