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 44E
The properties of the members of the truss in the left side of the figure are given in the table. Calculate the nodal displacement and element forces. Show that force equilibrium is satisfied as node 3.
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a beam is supported by a pin support at A and
a roller support at B. For this question, leave your answer in terms of
the variables w and L.
(a)
Using equilibrium of the full beam, find the support
forces at A and B.
(b)
First section: Make an arbitrary cut between points
A and B. Take the distance of the cut to be x along the beam
from point A. Draw the free-body diagram for the left section
and find functions for the internal shear force, V(x), and bending
moment, M(x), in the section of the beam between A and B.
(c)
Second section: Repeat part (b) for the section of the
beam between B and C. Take x to still be the distance from point
A.
(f)
Find the value of x at which V(x) = 0.
The internal bending moment reaches a maximum at
the same point as V(x) = 0. Find the maximum bending mo-
ment.
pin
Sketch the shear and bending moment diagrams.
B
L
W
C
roller
Find the force on each member of the truss and indicate if they are under tractionor compression.
I am having difficulty in the decompositions of forces. if you can, put this in detail.I already found the reaction forces and they are in the image below.
Thank you very much in advance
PROBLEM 3: A right-angled rigid pipe is fixed to a wall at A and is additionally supported through the cable CD as shown in the figure. The tension in the cable is 3 kN. Neglect the weight of the pipe. Use the Right-Hand-Rule to indicate the direction of the moment.
[8] Calculate total force reaction at A. (ANSWER: 3.00 KN)
[9] Calculate the moment reaction (including correct sign) at A about z-axis. (ANSWER: 2.168 KN-m)
[10] Calculate the moment reaction (including correct sign) at A about x-axis. (ANSWER: -0.843 KN-m)
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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