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 35E
Determine the normal stress in each member of the truss structure. All joints are ball joint, and the material is steel whose Young’s modulus is
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The rigid bar is pinned at A and supported by two aluminum rods, each having a diameter of 1 in. and a modulus of elasticity Eal = 10(103) ksi. If the bar is initially vertical, determine the force in each rod when the 2-kip load is applied.
The stress–strain diagram for a material can be approximated by the two line segments shown. If a bar having a diameter of 80 mm and a length of 1.5 m is made from this material, determine the critical load provided the ends are pinned. Assume that the load acts through the axis of the bar. Use Engesser’s equation.
The stress–strain diagram for a material can be approximated by the two line segments shown. If a bar having a diameter of 80 mm and a length of 1.5 m is made from this material, determine the critical load provided one end is pinned and the other is fixed. Assume that the load acts through the axis of the bar. Use Engesser’s equation.
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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- Consider the wooden member subjected to a tensile load P = 11.0 kN. Determine the magnitude of the normal force at the inclined section shown.arrow_forwardA column has an outside diameter, D = 550 mm, an inner diameter, d = 150 mm.Determine the average normal stress developed on the cross section if the load, F is1890 kN.arrow_forwardThe stress–strain diagram for a material can be approximated by the two line segments shown. If a bar having a diameter of 80 mm and a length of 1.5 m is made from this material, determine the critical load provided the ends are fixed. Assume that the load acts through the axis of the bar. Use Engesser’s equation.arrow_forward
- The strut is supported by a pin at C and an A-36 steel (Young’s Modulus is 200 GPa) guy wire AB. If the wire has a diameter of 5 mm, determine how much it stretches when the distributed load acts on the strut. W0=11Kn/marrow_forwardThe post has a circular cross section of radius c. Determine the maximum radius e at which the load P can be applied so that no part of the post experiences a tensile stress. Neglect the weight of the post.arrow_forwardThe bars of the truss each have a cross-sectional area of 1.25 in2. Determine the average normal stress in members AB, BD, and CE due to the loading P = 6 kip. State whether the stress is tensile or compressive.arrow_forward
- Three steel rods (E = 200 GPa) supports a 50 kN load P. Each of the rods AB and CD has a 300 mm2 cross-sectional area and rod EF has a 600 mm2 cross-sectional area.State whether the structure is statically determinate or indeterminate. Why?Determine the force and the stress in each rod.Determine the deformation of each rod. Note: The link BED is rigid, and BE = ED.arrow_forwardThe aluminum block has a rectangular cross section and is subjected to an axial compressive force of 8 kip. If the 1.5-in. side changed its length to 1.500132 in., determine the Poisson's ratio. Assume modulus of elasticity (E) = 10 x 10^3 ksi indicate the free body diagramarrow_forwardDetermine the tensile stress developed in member AB due to a load of P = 500# at D. The member AB is thick and 2” widearrow_forward
- The rigid beam is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. If each bar has a cross-sectional area of 450 mm2, determine the maximum value of P if the allowable stress is (sallow)st = 200 MPa for the steel and (sallow)al = 150 MPa for the aluminum. Est = 200 GPa, Eal = 70 GPa.arrow_forwardThe W10 * 12 structural A-36 steel column is used to support a load of 4 kip. If the column is ixed at its base and free at its top, determine the maximum stress in the column due to this loading.arrow_forwardDetermine the maximum force P and the corresponding maximum total strain energy that can be stored in the truss without causing any of the members tohave permanent deformation. Each member of the truss has a diameter of 2 in. and is made of A-36 steel.arrow_forward
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