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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Chapter 2, Problem 20E
a.
To determine
To find: Displacement element, axial force and wall reaction forces using direct stiffness method for 3 element tapered bar system of the given problem.
b.
To determine
To find: Displacement element, axial force and wall reaction forces using direct stiffness method for 4 element tapered bar system of the given problem.
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. A thin plate is composed of four CST elements, as shown inthe figure below. The plate is subjected to a uniform tensile traction sacting on the right edge and a concentrated force F at the center. Usethe following values: E = 105 GPa, ν = 0.3, t = 5 mm, L = 400 mm,H = 400 mm, s = 50 MPa, and F = 150 kN.(a) Compute all the nodal displacements.(b) For each element, compute the element stress components σxx, σyy,and τxy.(c) For each element, compute the element planar principal normal stressesσ1′ and σ2′.(d) For each element, compute the Von Mises and Tresca effective stresses.
Please help solve using only FEM( Finite Element Method) and the values given, very urgent. Thank you.
A steel column with an outer
diameter of 50 mm and an inner
diameter of 40 mm surrounds a solid
steel bar with a diameter of 30 mm. A
support at one end of the bar and a
hard plate at the other end of the tube
hold them both tightly in place. A torque
T = 650 Nm acting on the end plate
twists the composite bar, which has a
height of 850 mm. Assuming that the
steel's shear modulus is G = 80 GPa,
find the maximum shear stresses in the bar and tube, respectively, and the angle of rotation (in degrees) of the end plate
average shear stress = 50.4 MPa
angle of twist per unit length = 3.06 deg/m
Chapter 2 Solutions
Introduction To Finite Element Analysis And Design
Ch. 2 - Answer the following descriptive questions.
a....Ch. 2 - Use the Galerkin method to solve the following...Ch. 2 - Solve the differential equation in problem 2 using...Ch. 2 - Prob. 4ECh. 2 - Using the Galerkin method, solve the following...Ch. 2 - A one-dimensional heat conduction problem can be...Ch. 2 - Solve the one-dimensional heat conduction problem...Ch. 2 - Prob. 8ECh. 2 - Solve the differential equation in problem 8 for...Ch. 2 - Prob. 10E
Ch. 2 - Prob. 11ECh. 2 - Prob. 12ECh. 2 - Using the Galerkin method, calculate the...Ch. 2 - The boundary-value problem for a clamped-clamped...Ch. 2 - The boundary-value problem for a cantilevered beam...Ch. 2 - Prob. 16ECh. 2 - Consider a finite element with three nodes, as...Ch. 2 - A vertical rod of elastic material is fixed at...Ch. 2 - A bar in the figure is under the uniformly...Ch. 2 - Prob. 20ECh. 2 - A tapered bar with circular cross section is fixed...Ch. 2 - The stepped bar shown in the figure is subjected...Ch. 2 - A bar shown in the figure is modeled using three...Ch. 2 - Consider the tapered bar in problem 17. Use the...Ch. 2 - Consider the tapered bar in problem 21. Use the...Ch. 2 - Consider the uniform bar in the figure. Axial load...Ch. 2 - Determine shape functions of a bar element shown...Ch. 2 - Consider a finite element with three nodes, as...
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