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 16E
Using the direct stiffness matrix method, find the nodal displacements and the forces in each element and the reactions.
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a) obtain the Global Stiffness Matrix
b) Find the nodal displacements at nodes
c) Determine the reactions
d) Fins the forces in each element
Compute the reactions for the following structure.
using E=young's modulus, I=moment of inertia
modulus E of elasticity, for the ACB beam with inertia I;a) find the elastic curve equation by the singularity methodb) find the reaction force at point Ac) find the reaction force at Point B
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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- Here, we are supposed to find the deflection equations, we had done this problem with previous information the moment equations and the reaction forces (I have attached a picture of the solution), but now we have to expand on it...arrow_forwardGiven the structure shown in the figure below, determine:the support reactions in the structure. (the positive * signs correspond to the directions "up" in y and "to the right" in x)arrow_forwardThree cylinders A, B, C of diameters, 200mm, 200mm, 100mm and weighing 400N, 400N, 200N, respectively, are placed in a trench as shown in Fig(5). Find the reactions at all contact points.arrow_forward
- From the matrix can you show me how the value stiffness (k) calculated?arrow_forwardDraw FBD (Free Body Diagram) of the structure shown in the figure below. What type ofstructure is it? Justify. Find reaction at point A.arrow_forwardFor the spring assemblages shown below, determine the nodal displacements, the forces in each element, and the reactions.arrow_forward
- Find the Global Stiffness Matrix and node displacements for the following BAR structure where A = 3 x 10-4 m2 and E = 210 GPaarrow_forwardConsider the element shown in Figure 2. The element has a circular cross section. Given the modulus of elasticity E, force F, and length L: a) Draw an internal force diagram. b) Compute the reaction forces. please answer and show stepsarrow_forwardFigure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa).The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before theapplication of load,(a) determine the reaction at A and C.(b) determine the horizontal displacement of point B.arrow_forward
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