Introduction To Finite Element Analysis And Design
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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Chapter 1, Problem 5E

Three rigid bodies, 2,3, and 4, are connected by six springs as shown in the figure. The rigid walls are represented by 1 and 5. A horizontal force F 3 =  2 000  N is applied on body 3 in the direction shown in the figure. Find the displacements of the three bodies and the forces (tensile/compressive) in the springs. That are the reactions at the walls? Assume the bodies can undergo only translation in the horizontal direction. The spring constants (N/mm) are k ( 1 ) = 200 , k ( 2 ) = 400 , k ( 3 ) = 600 , k ( 4 ) = 300 , k ( 5 ) = 500 , k ( 6 ) = 300 .

Chapter 1, Problem 5E, Three rigid bodies, 2,3, and 4, are connected by six springs as shown in the figure. The rigid walls

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In 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.
Consider a system of two springs, with stiffnesses k1 and k2, arranged in parallel as shown in the figure. The rigid bar to which the two springs are connected remains horizontal when the force F is zero. Determine the equivalent spring constant of the system (ke) that relates the force applied (F) to the resulting displacement (x) as F = kex Note: Because the spring constants of the two springs are different and the distances l1 and l2 are not the same, the rigid bar will not remain horizontal when the force F is applied.
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Chapter 1 Solutions

Introduction To Finite Element Analysis And Design

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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