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,
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 1, Problem 40E
The three-bar truss problem in figure 1.23 is under a vertical load
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two concentric springs of equal lengths are placed in an assembly shown below. A force P is applied against the plate above.
Select all equations among the choices that hold true. No partial points.
Note: P is force, ō is change in length.
Pouter + Pinner = P
Pouter = Pinner = P
Souter = dinner
douter #dinner
P
-Wwwand
A bridge truss extends x = 198 m across a river (shown in the figure below) where ? = 38°. The structure is free to slide horizontally to permit thermal expansion. The structural components are connected by pin joints, and the masses of the bars are small compared with the mass of a 1280 kg car at the center. Calculate the force of tension or compression in each structural component (in N).
Question 2
You are holding a thin and weightless bar on your head (see figure 2.1). On the
extremity A, the bar is attached to an elastic spring with unstressed length of 1 m and
spring constant, k = 50 N/m; on the other extremity D, the bar is against a wall. On
point C, a force F is applied, forming a 45-degree angle with the bar. Assign the
length AE according to the height of your body.
(a) What is the magnitude of the force F for the bar to rest horizontally?
(b) If the force F was removed, what support would you need in D in place of the
wall, in order to keep the bar at rest horizontally? Justify your suggestion(s).
State and justify your assumptions and comment on your solutions.
2m
1m
1m
000000000
F
B 45°
4m
Figure 2.1
C
D
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
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Use Mohrs circle to determine the normal stress and shear stress acting on the inclined plane AB.
Statics and Mechanics of Materials (5th Edition)
Rework Problem 3-48 for an elevation of 5000 ft (1500 m).
Heating Ventilating and Air Conditioning: Analysis and Design
A horizontal pipe carries oil with a specific gravity of 0.83. If two pressure gages along the pipe read 74.6 p...
Applied Fluid Mechanics (7th Edition)
Find the normal depth for the channel of Problem 11.45 after a new plastic liner is installed.
Water flows in a...
Fox and McDonald's Introduction to Fluid Mechanics
Determine the horizontal and vertical components of reaction at the pins A and D. Also what is the force in the...
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
6.9 Calculate the magnitude of the force P, acting as shown, that will cause the 200 lb crate to move, either s...
Applied Statics and Strength of Materials (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?arrow_forwardSolve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.arrow_forwardA uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?arrow_forward
- A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and tube are compressed between the rigid plates of a testing machine which applies forces P. Calculate the allowable value of the compressive force if the yield stresses of sleel and aluminum are srs = 50 Ksi and ??A= 60 ksi, respectively. Assume that As= 12 in2. AA= 6 in2. L = 20 in., Es= 29,000 tsi and EA=10,600 ksiarrow_forwardA safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)arrow_forwardPROBLEM 1: Compute for the force in each member of the truss shown in FIGURE 1 if the members are made of structural steel with a Modulus of Elasticity of 200 GPa and a Coefficient of Thermal Expansion of 12x10^-6. Indicate in your solutions if the force is in tension or in compression. FIGURE 1 50 kN 100 kN 1.5 20 2.0 2.0arrow_forward
- We are given the vertical cantilever of Fig. 1, which is subjected to a horizontal distributed load with linearly varying magnitude, as shown in the same figure. We are also given that EI = 106 kip-in?. Determine the function of horizontal displacements along the cantilever, and the horizontal displacement of point B, using the method of double integration. 10 ft 5 kip/ft Figure 1arrow_forwardA vertical load of (1.5C) kN is applied on a cantilever truss as shown in Figure 2. The truss is attached to the vertical wall and supported by bearing at A and B. For system stability, the bearing at A and B exerts forces Av, Ah, and Bh. If forces Av and (1.5C) kN make a counter clockwise couple and forces Bh and Ah make a clockwise couple, Solve for the magnitude of supporting forces. Note C= 4740arrow_forwardA copper wire of length 1.80 m and diameter 0.80 mm is suspended from two points, 1.0 m apart and at the same horizontal level. A load of 2.5 kg is hung from the centre of the wire. The wire makes an angle 8 to the vertical at point P and experiences a force F as shown in the diagram below. THIS DIAGRAM IS NOT SHOWN TO SCALE i. 0.9 m ii. 0.5 m F Ꮎ : Ꮎ 0.5 m F 0.9 m Calculate the angle with which each part of the wire makes with the vertical at the point where the load is hung. Determine the stress in the wire. iii. Determine the strain in the wire. m = 2.5 kg (Young's modulus for copper = 1.17 x 10¹¹ Pa) iv. Determine the extension produced in the wire by this strain.arrow_forward
- A solid bar of length L = 4 m and diameter 200 mm is heated from 20 to 320 degrees celsius and restrained between two solid immovable walls. Young's modulus of the material is 90 GPa and the coefficient of thermal expansion is 22 x 10-6/°C. →Calculate the thermal strain, e, in micro-strain correct to two decimal places. micro-strain. Calculate the thermal stress, o, in megapascals (MPa) correct to two decimal places. E: σ: MPa. Hence calculate the force exerted by the bar in meganewtons (MN) correct to two decimal places: F MN. Larrow_forwardA 1250N sphere in figure is supported by the pull P and a 830N weight passing over a frictionless pulley. If a=30° , Compute the values of P and e. | 830 N P 1 250 Narrow_forwardPREVIOUS ANSWERS A 1,100-N uniform boom at = 55.0° to the horizontal is supported by a cable at an angle 0 = 35.0° to the horizontal as shown in the figure below. The boom is pivoted at the bottom, and an object of weight w = 2,450 N hangs from its top. Ө Pivot W (a) Find the tension in the support cable. 0.0885 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. KN (b) Find the components of the reaction force exerted by the pivot on the boom. (Assume the positive x-direction is to the right and the positive y-direction is upward. Include the sign of the value in your answer.) horizontal component vertical component kN kN Submitarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Heat Transfer – Conduction, Convection and Radiation; Author: NG Science;https://www.youtube.com/watch?v=Me60Ti0E_rY;License: Standard youtube license