Homework Answers
Ans - For displacement based elements , the convergence is from below .
Convergence means that the system response (displacement) will converge to a repeatable solution with decreasing element size . In case of displacement based elements , on reaching convergence , there will not be any futher effect of the defornation on the solution . Thus the finite element solution will converge from below for displacements
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FEA
( finite element analysis )
coccurote For displacement-based elements, is convergence from above" or "from...
FEA ( finite element analysis ) b) Describe an example of a harmonic response finite element...
FEA ( finite element analysis )
b) Describe an example of a harmonic response finite element analysis c) Describe the difference between solid elements and shell elements. DO
FEA ( finite element analysis ) c) Describe the boundary conditions needed to impose a symmetry...
FEA
( finite element analysis )
c) Describe the boundary conditions needed to impose a symmetry plane when using beam elements. d) How do you know when to turn on "Large Deflection? e) Describe the difference between mesh convergence and force convergence. force converge
FEA ( finite element analysis ) c) In terms of performing a finite element analysis, describe...
FEA
( finite element analysis )
c) In terms of performing a finite element analysis, describe the phrase "stress miffening, Inverse of buckling Increase in transverse stiffness wol increase of axial force d) Describe geometric nonlinearities and when they should be used.
FEA ( finite element analysis ) d) Describe the difference between geometric nonlinearities and material nonlinearities....
FEA ( finite element analysis )
d) Describe the difference between geometric nonlinearities and material nonlinearities. besede large do lacement Targe decoration Grobnion) Straw & plastic دل به جریان when there is inelastic bohano e) Describe how to include the self-weight of a structure when performing a finite element analysis. need
Finite element problems For the bar elements shown in Figure P3–16, the global displacement have been...
Finite element problems
For the bar elements shown in Figure P3–16, the global displacement have been deter- mined to be up = 0.5 in., V = 0.0, uy = 0.25 in., and V2 = 0.75 in. Determine the local x' displacements at each end of the bars. Let E = 12 x 106 psi, A = 0.5 in?, and L = 60 in. for each element. 45° 30° (a) (b) - Figure P3–16
Finite Element Analysis CVE705 Stiffness Matrix Problem: An eight-node element assemblage shown is used in a...
Finite Element Analysis
CVE705
Stiffness Matrix
Problem:
An eight-node element assemblage shown is used in a finite
element analysis.
Calculate the diagonal element of the stiffness matrix
corresponding to the degree of freedom U100
shown.
Use a plane stress case
E = 10,000
v = 0.3
t = 1.0
U100
Section 1: Finite Element Derivation and Validation In this section of the report you will develop your own Finite Elem...
Section 1: Finite Element Derivation and Validation In this section of the report you will develop your own Finite Element method for 1-dimensional axial loading. The governing equation for displacement, u is Poisson's Equation: อั1 where E is the modulus of elasticity, A(a) is the cross-sectional area as a function of length, and q(x) is the loading distribution as a function of length. The weak form of this equation with 0 1. Starting from the weak form of the governing...
Section 1: Finite Element Derivation and Validation In this section of the report you will develop your own Finite Elem...
Section 1: Finite Element Derivation and Validation In this section of the report you will develop your own Finite Element method for 1-dimensional axial loading. The governing equation for displacement, u is Poisson's Equation: อั1 where E is the modulus of elasticity, A(a) is the cross-sectional area as a function of length, and q(x) is the loading distribution as a function of length. The weak form of this equation with 0 1. Starting from the weak form of the governing...
FEA 1. Answer True or False below. (2 points each) When performing a nonlinear FE analysis,...
FEA
1. Answer True or False below. (2 points each) When performing a nonlinear FE analysis, pressure is considered a “follower force.” Once an element aspect ratio exceeds 1, the larger the aspect ratio, the better the element performs. Eigenvalue buckling provides a good estimate of the Euler critical buckling load. It is important to include the Bauschinger effect in your FE model when simulating problems that experience large strain. Buckling can be considered as the inverse of stress stiffening....
Problem 1: Finite element analysis project (part 2) Consider the beam that was modeled using Soli...
Problem 1: Finite element analysis project (part 2) Consider the beam that was modeled using SolidWorks in Part 1 5mm- 80mm 100mm 10m Let the beam be made out of A36 structural steel. Determine and plot: (1a) e deflection of the beam h(x) Note: do not forget to convert pressure to force/length (1b) the normal stress in the beam ơxx(x, y, z) For the plots, let y - 0,z - 48mm) No partial answer is provided here you should check...
FEA ( finite element analysis )
b) Describe an example of a harmonic response finite element analysis c) Describe the difference between solid elements and shell elements. DO
FEA
( finite element analysis )
c) Describe the boundary conditions needed to impose a symmetry plane when using beam elements. d) How do you know when to turn on "Large Deflection? e) Describe the difference between mesh convergence and force convergence. force converge
FEA
( finite element analysis )
c) In terms of performing a finite element analysis, describe the phrase "stress miffening, Inverse of buckling Increase in transverse stiffness wol increase of axial force d) Describe geometric nonlinearities and when they should be used.
FEA ( finite element analysis )
d) Describe the difference between geometric nonlinearities and material nonlinearities. besede large do lacement Targe decoration Grobnion) Straw & plastic دل به جریان when there is inelastic bohano e) Describe how to include the self-weight of a structure when performing a finite element analysis. need
Finite element problems
For the bar elements shown in Figure P3–16, the global displacement have been deter- mined to be up = 0.5 in., V = 0.0, uy = 0.25 in., and V2 = 0.75 in. Determine the local x' displacements at each end of the bars. Let E = 12 x 106 psi, A = 0.5 in?, and L = 60 in. for each element. 45° 30° (a) (b) - Figure P3–16
Finite Element Analysis
CVE705
Stiffness Matrix
Problem:
An eight-node element assemblage shown is used in a finite
element analysis.
Calculate the diagonal element of the stiffness matrix
corresponding to the degree of freedom U100
shown.
Use a plane stress case
E = 10,000
v = 0.3
t = 1.0
U100
Section 1: Finite Element Derivation and Validation In this section of the report you will develop your own Finite Element method for 1-dimensional axial loading. The governing equation for displacement, u is Poisson's Equation: อั1 where E is the modulus of elasticity, A(a) is the cross-sectional area as a function of length, and q(x) is the loading distribution as a function of length. The weak form of this equation with 0 1. Starting from the weak form of the governing...
Section 1: Finite Element Derivation and Validation In this section of the report you will develop your own Finite Element method for 1-dimensional axial loading. The governing equation for displacement, u is Poisson's Equation: อั1 where E is the modulus of elasticity, A(a) is the cross-sectional area as a function of length, and q(x) is the loading distribution as a function of length. The weak form of this equation with 0 1. Starting from the weak form of the governing...
FEA
1. Answer True or False below. (2 points each) When performing a nonlinear FE analysis, pressure is considered a “follower force.” Once an element aspect ratio exceeds 1, the larger the aspect ratio, the better the element performs. Eigenvalue buckling provides a good estimate of the Euler critical buckling load. It is important to include the Bauschinger effect in your FE model when simulating problems that experience large strain. Buckling can be considered as the inverse of stress stiffening....
Problem 1: Finite element analysis project (part 2) Consider the beam that was modeled using SolidWorks in Part 1 5mm- 80mm 100mm 10m Let the beam be made out of A36 structural steel. Determine and plot: (1a) e deflection of the beam h(x) Note: do not forget to convert pressure to force/length (1b) the normal stress in the beam ơxx(x, y, z) For the plots, let y - 0,z - 48mm) No partial answer is provided here you should check...
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