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
Concept explainers
Videos
Question
Chapter 1, Problem 48E
To determine
To find: Using nodal displacements solve for force and support reaction of the given truss plane.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Given that:
P+P = 6.0 kip
0.45x10^6 psi
L1 = 20.0 in
E =
L2 = 15.0
in
d1 = 1.25 in
d2 = 2.0
in
Then the reactions at A and C
respectively in kps are:
A
- d1
L1
В
L2
d2
RA = 0.9 kip, RC = 11.1 kip
RA = 1.96 kip, RC = 10.04 kip
O RA = 1.3 kip, RC = 10.7 kip
RA = 2.7 kip, RC = 9.3 kip
29. The figure shows a heavy weight suspended by a cable and pulled
to one side by a force F. We want to know how much force F is
required to hold the weight in equilibrium at a given distance z to
one side (say to place a cornerstone correctly). From elementary
physics, T cos 0 W, and T sin 0 = F.
(a) Find F/W as a series of powers of 0.
(b)
Usually in a problem like this, what we know is not 0, but a
and I in the diagram. Find F/W as a series of powers of a/l.
For the spring assemblages shown in Figures 2, determine the node Displacements, the forces in
each element, and the reactions. Use the direct stiffness Method for all problems.
Su0 KN/ m
2EN
3.
3 3
Suo KNIM
Suo EN/m
3.
ZEN
Fig 2
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
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
- Member AB (helical spring) and Member AC (axial rod) are carrying a weight at point A. Member AB has the following properties: R = 90 mm, n -4 turns, G- 70 GPa, d- 30 mm, and Talow = 105 MPa while Member AC has the following properties: L= 2.A- 500 mm?, E = 200 GPa, and a low- 30 MPa. Determine the maximum safe %3D value of W (in N). Use simplified formula for the helical spring. A 60°arrow_forwardFigure 1 below shows the bronze and galvani pipes are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The bronze pipe is twice as long as the galvani pipe. Two equal and symmetrically placed loads P act on the plate at C 1)Write one equilibrium equation involving reaction forces of the pipes with the help of free body diagram.[Note: Show all the forces acting on the members.] 2)Derive equilibrium equations for internal forces for section AC and BC with the help of respective free body diagrams.[Note: Show all the forces acting on the members.]arrow_forwardA- In each of the two plane structure (a,b) shown in Fig 1, rigid blocks are connected by linear spring. Imagine that only horizontal displacements are allowed. In each case, write the structure equilibrium equations [K]{D}= {R} in term of spring stiffness Ki, displacement degree of freedom ui, and applied load Fi. 5 (4) 2 4 (1) 3 (5) U5 F1 и, (2) Uz U4 Fs F2 F4arrow_forward
- Given the forces Q = 480 N, P = 700 N and tension in cable BD TBD = 1,300 N, determine the reactions at C. A P 500mm QA Cx 150mm Cy Assuming right is positive, and a tolerance of 1 N: Cx = Number Units Assuming up is positive, and a tolerance of 1 N: Cy= Number Units Mc B 600 Assuming anti-clockwise is positive, and a tolerance of 10 N*mm: Mc = Number Units 250mm TBD 250 (sign and magnitude required) (sign and magnitude required) (sign and magnitude required) D 200mm 400mm *arrow_forwardb) A steel column AB is fixed at its base and is braced at its top by cables as shown in Figure Q4 (b). This column has moment of inertia of l= 113 x 10° mm and ly36.6 x 10° mm". If the length of column is 8 m, examine the allowable load, P that can be resisted by this column before it either begins to buckle or yields. Take modulus of elasticity, E = 200 GPa, yield stress, a, = 250 MPa, and factor of safety, F.S= 2.0. Given the cross-sectional area of this column is 12,700 mm. If the applied load P exceeded the allowable load, suggest TWO (2) methods of strengthening for this column. (CO2-PO2)(C6) !!arrow_forward3. 2 ft 1106 2 ft B ww Cord AB is 2 ft long, the force P = 76 lb, the angle 0 = 56 degrees and the spring's stiffness is k = 56 Ib/ft.arrow_forward
- 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 -Wwwandarrow_forwardshboard Events My Courses This course EHide blocks Question 6 The following figure represents a bar problem in static equilibrium and the related linear finite element model (The bar is modeled by one linear element). The bar is made of steel with modulus of elasticity E = 200 GPa and it has a length of 1 m and a cross-sectional area A = 10 cm?. If the bar is fixed at one end and subjected to a uniform distributed load of intensity w = 1 kN/m and a concentrated force F = 5 kN at its free end as shown, what would be the displacement at global node 2? Not yet answered Marked out of 15.00 P Flag question 1 kN/m F-5 KN L=1m 2 1229 AM O a d ENG 4/30/2021 re to search 近arrow_forwardExample 3 300 N 3 4 400 N Q/ The figure above is in equilibrium find the value of the angle and find the value of the force Parrow_forward
- Q: For the spring system shown in the accompanying figure, determine the displacement of each node. Start by identifying the size of the global matrix. Write down elemental stiffness matrices, and show the position of each elemental matrix in the global matrix. Apply the boundary conditions and loads. Solve the set of linear equations. Also, compute the reaction forces. k2 = 9 lb k1 = 20b in 20 lb k,=5 lb ww lb in kz = 5 lb in ks = 9 in lb k6 = 9 in 50 lb k4 = 20 lb kg = 20 b in inarrow_forwardConsider the spring assemblage shown, using the direct stiffness method do the following: 1. Write the global stiffness matrix 2. Determine the nodal displacements 3. Determine the nodal forces 4. Determine the reaction of supports K1 = 15 kN/m f Node 1 F = 0.675 kN K2 = 45 kN/m No Node 2 X positive to the right vov Node 3 K3 = 15 N/m Node 4arrow_forwardIn figure 1, a beam is supported by a pin support at A and a roller support at C. There is a distributed load acting between points A and B. The distributed load has a linearly increasing strength, with the maximum strength 8 kN/m at point B. (a) Write a function w(x), which describes the strength of the distributed load from A to B, where x is the distance along the beam from point A. (b) Using equilibrium of the full beam, find the support forces at A and B. (c) 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. (d) Second section: Repeat part (c) for the section of the beam between B and C. Take x to still be the distance from point A. (e) Sketch the shear and bending moment diagrams. pin 5 m 8 kN/m B + 2 m C rollerarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY