For a tapered bar of uniform thickness t =10 mm as shown in figure, find thedisplacements at the nodes by forminginto two element (2 noded 1-D axial barfinite element) model. The bar has a massdensity p=7800 kg/m3, the Young'smodulus E=2x105 MN/m². In addition toself-weight, the bar is subjected to a pointload P=2 kN at its centre. Alsodetermine the reaction forces at thesupport.300mm少40mm80lmmTITL150

a circuit diagram for a voltage-to-current converter circuit. Here's how it might…

Answered: For a tapered bar of uniform thickness…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The structure shown in the figure consistsof a horizontal rigid bar ABCD supported by twosteel wires: one of length L and the other of length3L/4. Both wires have cross-sectional area A and aremade of elastoplastic material with yield stress sYand modulus of elasticity E. A vertical load P acts atend D of the bar.(a) Determine the yield load PY and the correspondingyield displacement dY at point D.(b) Determine the plastic load PP and the correspondingdisplacement dY at point D when theload just reaches the value PP.(c) Draw a load-displacement diagram with theload P as ordinate and the displacement dD ofpoint D as abscissa.
k 2 13 ki Rigid bar k3 3 for the system shown in the figure, which of the following statements are correct. * u2 = P %3D !! u = u2 = U3 = U4 = 0
i need the answer quickly
Consider a one-element triangular mesh shown in Figure 2. The edge AC is fixed. The edge BC is subject to lin- early varying traction normal to the edge as shown in Figure 2. Assume plane-stress conditions with thickness 1 = 1 cm and Young's modulus E = 70 GPa and Poisson's ratio v = 0.3. 150 kN/m 50 kN/m C (0,0.3) B (0.4,0.3) a) Specify the boundary condi- tions. b) Construct the stiffness matrix. A (0,0) c) Calculate the global force ma- Figure 2: Triangular element. All coordinates are in meters. trix. d) Solve for the unknown displace- ments and compute the stress at (0.1, 0.2).
Rijit 1,2 m 0,6 m- 1 m Çap:50 mm The system in the figure is carried by a 50 mm diameter column. If the modulus of elasticity of the column is 70 GPa, find the maximum load q that the column can carry.
Find the Global Stiffness Matrix and node displacements for the following BAR structure where A = 3 x 10-4 m2 and E = 210 GPa
2-) Consider the thin (steel) plate in figure given below. The plate has a uniform thickness t= 1 cm., Young's modulus E = 25 x 10° N/cm?, and weight density p= 0,2448 N/cm³. In addition to its self-weight, the plate is subjected to a point load P = 200 N at its midpoint. (Please be careful for the units.) (a) Model the plate with two finite element. 12 cm (b) Write down expressions for the element stiffness matrices and 18 cm element body force vectors. (c) Assemble the structural stiffness matrix K and global load 36 cm vector F.(' P =200N (d) Using the elimination approach, solve for the global displacement vector Q. (e) Evaluate the stresses in each element. ( -. X 6 ст
A steel ring at a room temperature has a radius of R, of 1.00 mm x 1.00 mm. One like to insert a bar of radius R, = 2.002 cm into the ring. The following data is known for steel: 2.00 cm and a cross section area • Young Modulus E = 2.00 × 1011 Pa. • Coefficient of length contraction a = 1.20 x 10-5 C-1 • Specific heat capacity c = 511 J.kg-1.C-1 • Mass density p= 8050 kg.m -3 (a) What is the amount of heat needed for heating the ring so that the rod can fitted into it. (b) Assume the rod is rigid, calculate the pressure on the surface of the rod as the steel cool down to the room temperature.
A beam weighing 50 kg is attached to a pin at C and supported by a steel cable OA with Young's modulus, E= 200 x 10° N/m2 as shown in Figure Q2. An inclined force of 5000 N is applied to end of the beam at point D with 40° angle measured from the x-Axis. 5000 N Sna pho Wel 2.5 m B. 888-888- 4m By providing your a automateditext mer messaging eates may 5 m 3 m Figure Q2 Loadings on beam My Textbo a) Draw a free-body diagram of the beam Solunons b) Calculate the tension of steel cable OA c) Determine the reaction forces of Fex and Fey d) Determine the elongation of steel cable OA byChego
Analyse the statically determinate bar illustrated below by expressing the loading as a single function using Macaulay brackets and the Dirac delta, integrating to find th axial force and integrating again to find the displacements, applying the boundary conditions appropriately. Find the axial force in the bar at point A and the displaceme at point B. The cross section of the bar is constant with EA = 18000 kN. a = 4 m, b = 2 m, c = 2 m and d = 4 m. w1 = 12 kN/m, w2 = 17 kN/m,, P1 = 12 kN and P2 = 19kN. a W1 L/2 W2 Multiple Choice Answers Multiple Choice Answer: Axial force at point A (kN, tension positive): a. 3.31 b. 31.97 c. 37.33 d. 31 Multiple Choice Answer: Displacement at point B (mm, positive to right): a. 0.0061 b. 0.0395 c. 0.0193 d. 0.0261 Axial force at point A (kN, tension positive): Displacement at point B (mm, positive to right): L/2 P1 P2 (type in your multiple choice answer, e.g. a, b, c or d) (type in your multiple choice answer, e.g. a, b, c or d)
(a) Calculate the total elastic strain energy stored in the material of the pin-jointed structure shown in Figure Q4(a). The structural members cach has a cross sectional area A, elastic modulus E, shear modulus G, moment of inertia I and polar moment of inertia J. B L. A 45 30 Figure Q4(a) (b) An elastic structure with flexural stiffness El is pinned at A and fitted with a roller at end C, as illustrated in Figure Q4(b). The structure carries a uniformly distributed load w (force per unit length) on member AB. (i) Determine the reaction at the roller support C, in terms of w and R. Using Castigliano's energy theorem, determine the horizontal displacement of end C of the structure. Consider bending effecis only. R Figure Q4(b)

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS