8) The 1-meter long, tapered bar with circular cross section illustrated below has large diameter of 0.5 m (at the top), small diameter of 0.25 m (at the bottom) and modulus E = 20 x 10⁹ Pa. It is subject to a point axial load of F =10 kN. Use the finite element method to calculate the bar's resulting change in length. Compare your answer to the analytical solution (it's in the notes). Use at least 3 elements. TE F

8) The 1-meter long, tapered bar with circular cross section illustrated below has large diameter of 0.5 m (at the top), small diameter of 0.25 m (at the bottom) and modulus E = 20 x 10⁹ Pa. It is subject to a point axial load of F =10 kN. Use the finite element method to calculate the bar's resulting change in length. Compare your answer to the analytical solution (it's in the notes). Use at least 3 elements. TE F

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

Dont Copy from chegg need step wise step and correct answers only Use Finite Elemental method Assemble element stiffness matrix for the member of plane frame shown in Figure is oriented at angle 30° to the x-axis. Take E= 200 GPa, I=4 × 106 m* and A = 4 × 10-³m². ,if it 5m 30
A very thick structure is subjected to certain traction boundary conditions on its surface. The cross-section and the applied load do not vary with the z-coordinate. The following stress function is proposed for this problem: -y p(x,y) = Sin (x) (A x²e + B e") (i) use the biharmonic equation to find restrictions, if any, on values of A and B (ii) calculate all stress components (iii) calculate all strain components in terms of A, B, and C as well as the Young modulus and Poisson's ratio E and y, respectively. (iv) check that the equilibrium equations are satisfied (v) determine the traction boundary conditions at x =± a and y=+b
For a slab with overall dimensions of 42 m x 34 m: Choose appropriate locations for the columns. Choose dimensions that allow using the ACI coefficients. The slab may be solid with drop beams (Im wide representative slab strip treated as rectangular, and drop beam treated as T-section). Alternatively, it may be ribbed with hidden beams (ribs treated as T-sections and beams treated as rectangular). Assume all columns are 75 cm x 75 cm. Dead load is that of the slab, in addition to 3cm tiles, 3cm mortar, and 13cm fill. Live load is 0.4 t/m2. Add 0.125 t/m² to the live load for partitions. Use fe' = 28 MPa, and fy = 420 MPa. Submit all your analysis and design calculations neatly.
Solut ion matris Hello, can you solve it with the Finite Element Method? The structure on Figure includes three trusses. AE-8 x 10° N. If the support at node 1 moves down by 25 mm vertically. a) Determine the displacements in the nodes b) Determine the reaction forces in the nodes c) Determine axial stresses in the members d) Determine axial forces in the members 3 m 4 m
For a slab with overall dimensions of 42 m x 34 m: Choose appropriate locations for the columns. Choose dimensions that allow using the ACI coefficients. The slab may be solid with drop beams (Im wide representative slab strip treated as rectangular, and drop beam treated as T-section). Alternatively, it may be ribbed with hidden beams (ribs treated as T-sections and beams treated as rectangular). Assume all columns are 75 cm x 75 cm. Dead load is that of the slab, in addition to 3cm tiles, 3cm mortar, and 13cm fill. Live load is 0.4 t/m2. Add 0.125 t/m² to the live load for partitions. Use fe' = 28 MPa, and fy = 420 MPa. Use appropriate plans and sections to present your design.
The dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.
A uniform tubular pipe 100ft long and weighing 55lbs is supported by a fulcrum as shown in the figure. Find for the force F* F 5ft 5ft 25 Ibs 50lb 48.42 47.10 53.95 Ibs 21.05lb 82.89
Problem (1) Consider the shown plane truss. Take: EA= 10' lb for all members, P = 1,000 lb, and L = 20 in. Use the Finite Element Method to: 60° 4 a. Assemble the reduced stiffness matrix of P L. 60° 2/L the truss. b. Calculate the displacements at the nodes. c. Calculate the values of the support reactions at node 1 only. L\3 09 7 .09,
Suppose that you used 70 quadratic elements to discretise a bar system (mesh). What is the size of the assembled stiffness matrix? (Hint: if the size of the matrix is 10 by 10, then write 10 in the answer box).
A truss, formed of two members, is subjected to a horizontal force P=2,600 lb applied at node 1 (as shown below). Suppose that the cross- sectional area and Young's modulus of both members are A=2.0 in² and E=40x106 psi, respectively. Determine the horizontal displacement of node 1 (in inch). Hint: round off your final answer to 5 decimal places; e.g. if your answer is 1.2345678, then rounding-off to 5 decimal places yields 1.23457 and that
For the cantilever plane truss in the figure above, use MATLAB to determine: 1)Nodal displacements 2)Reaction Forces 3)Element Strains and Stresses Assuming that both supports are going to be fixed and the values of E = 70 GPa and A = 0.003125
One-dimensional and three-node element Obtain the element stiffness matrix for