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FEM cant produce exact results as those of…………methods
Answer
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All the above
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The finite element method is mostly used in the field of
Answer
Correct Answer:
Engg mechanics
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The geometry and other parameters of an element in terms of only one spatial coordinate then the element is
Answer
Correct Answer:
None
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The art of subdividing a structure into a convenient number of smaller components isCalled
Answer
Correct Answer:
Discretization
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A six noded triangular element is known as
Answer
Correct Answer:
Constant strain triangular element
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On gathering stiffness and loads, the system of equations is given by
Answer
Correct Answer:
KQ=F
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The displacement function for 1-D ,two node linear element in terms of shape function will be
Answer
Correct Answer:
U = N1u1+N2u2
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The eight node quadrilateral element belongs to…………. Family of elements
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Correct Answer:
None
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The higher order elements are also called as
Answer
Correct Answer:
None
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In weighted residual technique,the methods adopted are
Answer
Correct Answer:
All
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Number of displacement polynomials used for an element depends on
Answer
Correct Answer:
Degrees of freedom
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A triangular plane stress element has_________degree of freedom
Answer
Correct Answer:
6
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A three noded triangular element is called as
Answer
Correct Answer:
Differable strain triangular element
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To solve the FEM problem, it subdivides a large problem into smaller, simpler parts that
Answer
Correct Answer:
Finite elements
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Numerical algorithms are based on
Answer
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FEM and FDTD
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Finite element method is also called
Answer
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Finite element analysis
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FEM gives accurate representation of
Answer
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Complex geometry
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The finite element method formulation of the problem results in a system of
Answer
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Algebraic equations
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Which part of the building is to be analysed as per theory of plate bending?
Answer
Correct Answer:
Slab
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From the following options, identify the incorrect weighted residual method.
Answer
Correct Answer:
Wilson-q method
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When displacement nodes are greater than geometry nodes, it is known as
Answer
Correct Answer:
Subparametric
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Pick the incorrect statement
Answer
Correct Answer:
FEM is an exact method of analysis.
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The following element is only used in conforming variational correctness.
Answer
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BFS element
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The ratio of the largest dimension of the element to the smallest dimension is defined as
Answer
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Aspect ratio
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The shape function has
Answer
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Unit value at one nodal point and zero value at other nodal points.
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As per Mindlin plate theory
Answer
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C2 Continuity element is converted into C0 Continuity element
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Which of the following statements is not true for an axial bar divided into three elements?
Answer
Correct Answer:
The size of the local stiffness matrix will be 2X2.
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Four noded rectangular element in natural coordinate system belongs to
Answer
Correct Answer:
Both lagrangence and serendipity families
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Consider a bar of uniform cross section as shown in figure. The distributed force acting on the bar is varying linearly with ‘x’, thus identifying the proper polynomial functions for approximation of solution.
Answer
Correct Answer:
U(x) = a1 x + a2 x2
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If the length of element is 5mm , cross section area is 20 mm2 and E is 210 GPa, the axial stiffness is
Answer
Correct Answer:
20x210000000/5
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If natural coordinates xi=0.5, eta=0.6, the values of shape functions of four noded Isoparametric rectangular element in natural coordinates are
Answer
Correct Answer:
0.5, 0.15, 0.6, 0.2
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Which is not a convergence requirement of the displacement function
Answer
Correct Answer:
The displacement function should be geometrically invariant
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For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of
Answer
Correct Answer:
3x3
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Which is not the characteristic of a Flat shell element?
Answer
Correct Answer:
They must be thick and the variation of stresses take place along the thickness of element
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Classical thin plate theory is called as
Answer
Correct Answer:
Kirchhoff Theory
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The following element is only used in non conforming variational correctness.
Answer
Correct Answer:
ACM element
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Determine the Cartesian coordinates of any point P if N1=0.05, N2=0.15, N3=0.6 and N4=0.2. Coordinates of nodes are x1=2, x2=8, x3=7, x4=3, y1=1, y2=3, y3=7, y4=5.
Answer
Correct Answer:
6.1, 5.7
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The following integral formulation is used in weighted residual method. Identify the form of integral
Answer
Correct Answer:
Linear form
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How many nodes are there in a hexahedron element?
Answer
Correct Answer:
8
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If the plate thickness to span ratio is less than (1/10) then it is called as
Answer
Correct Answer:
Thin plate with small deformation
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Axis-Symmetric element is
Answer
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Both 2D and 1D elements
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W, qx, and qy are considered in
Answer
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Mindlin element
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This form states the condition that must be met at every material point
Answer
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Strong Form
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The following method assumes trial functions only over an element.
Answer
Correct Answer:
Finite Element Method.
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For constant strain triangle element, the shape function is
Answer
Correct Answer:
N1+N2+N3=1
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Accuracy of solution in finite element can be increased by
Answer
Correct Answer:
Using higher order element
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The shear deformation in plate is considered using following theory
Answer
Correct Answer:
Mindlin Theory
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Which is not the characteristic of CST element
Answer
Correct Answer:
The strain displacement matrix for CST element is a single term matrix
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As per the theory of thin plate with small deformation, The ratio of maximum deflection to thickness (S) should be
Answer
Correct Answer:
S < (1/5)
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The variational principle corresponding to the weak form of elasticity is called as
Answer
Correct Answer:
Theorem of minimum potential energy
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For CST element, if N1=0.3 and N2-0.2 what is the value of N3
Answer
Correct Answer:
0.5
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As per the theory of thin plate with small deflection, the ratio of thickness to span (R) should be
Answer
Correct Answer:
R > (1/10)
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How many nodes are there in a tetrahedron element?
Answer
Correct Answer:
4
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Which is not an example of a serendipity rectangular element?
Answer
Correct Answer:
9 noded element
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Number of shape functions in two noded beam element are
Answer
Correct Answer:
4
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Pascals Triangle is used for writing
Answer
Correct Answer:
Displacement equation
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The degrees of freedom for regular flat shell elements are
Answer
Correct Answer:
Three translations and three rotations
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Number of shape functions for 3D hexahedron element with nodes at corners only in natural coordinate system are
Answer
Correct Answer:
8
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In variational principles, which of the following quantities are to be used.
Answer
Correct Answer:
Scalar
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Sum of the shape functions is
Answer
Correct Answer:
Always 1
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The displacement function U for 1 dimensional two node linear element using standard notations in terms of shape function will be
Answer
Correct Answer:
U equals to N1U1 plus N2U2
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When geometry nodes are greater than displacement nodes, it is known as
Answer
Correct Answer:
Superparametric
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The art of subdividing a structure into a convenient number of smaller components in finite element analysis is known as
Answer
Correct Answer:
Discretization.
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Stresses normal to the plate is neglected in
Answer
Correct Answer:
Kirchhoff Theory
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If a domain is discretized into N linear 1-D elements, then the number of nodes will be
Answer
Correct Answer:
N plus 1
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Stress -strain relationship matrix of axisymmetric element consists of terms related to
Answer
Correct Answer:
Poisson's ratio and modulus of elasticity
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Why do we need a Jacobian matrix in the finite element method?
Answer
Correct Answer:
The Jacobian matrix is required to map the natural coordinate system to the cartesian coordinate system.
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Number of shape functions in two noded bar element are
Answer
Correct Answer:
2
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Principle of the stationary value of the potential energy is also called as
Answer
Correct Answer:
Principle of minimum potential energy
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For four noded serendipity elements which condition is true?
Answer
Correct Answer:
Nodes at corner only
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When displacements and geometry nodes are equal, it is known as
Answer
Correct Answer:
Isoparametric
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No of coefficients in an displacement function are equal to
Answer
Correct Answer:
No. of nodes x dof per node
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The following methods assumes that trial functions over entire solution
Answer
Correct Answer:
Rayleigh-Ritz method
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Pick the correct statement
Answer
Correct Answer:
Flat shell elements are created by combining plane and bending plate elements.
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Isoparametric finite elements are based on the parametric definition of
Answer
Correct Answer:
Both coordinate and displacement functions.
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Parent element of four noded Isoparametric quadrilateral element in natural coordinate system is
Answer
Correct Answer:
Four noded rectangular element
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A natural mode of vibration represents …...............at each node
Answer
Correct Answer:
Relative displacement
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When the inertia effect due to the mass of the component and externally applied load is considered,then the analysis is called as
Answer
Correct Answer:
Dynamic analysis
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The load calculated for each element based on thermal expansion of that element is,
Answer
Correct Answer:
A q α ΔT
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In finite element analysis, the procedure to do steady state thermal analysis is
Answer
Correct Answer:
1. Preprocessing 2. Post Processing 3. Solution
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When can we use axisymmetric governing equations?
Answer
Correct Answer:
All the options are correct
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The rate of heat flow on conduction is given by Fourier's law as
Answer
Correct Answer:
Q = -KA(dT) / dx
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LST element contains …........nodes
Answer
Correct Answer:
6
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How many frequencies are calculated for a 3-noded simply supported beam ?
Answer
Correct Answer:
Four
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Identify the correct property of shape function
Answer
Correct Answer:
Summation of all shape function inside the body is +1
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What does an interpolation function represent?
Answer
Correct Answer:
Change in variable over an element
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FEA applied for long earth dam whose height and width are measurable in metres and length in kilometres and for long cylinders like tunnel
Answer
Correct Answer:
Plane strain
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The condition of FEA which is characterised by very small dimensions in one of the normal directions is called as
Answer
Correct Answer:
Plane stress
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Variational principle is the basis for
Answer
Correct Answer:
Displacement method
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Heat transfer problem depends on
Answer
Correct Answer:
All
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The equation for Principle of Minimum Potential Energy is expressed as
Answer
Correct Answer:
[K]{U}={F}
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If the function used to define the geometry of an element and the functions used to define the field variables of an element is same then such element are called as
Answer
Correct Answer:
Isoparametric element
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The total potential energy of an elastic body is defined as _______.
Answer
Correct Answer:
Strain energy - Work potential
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In 1D steady state problems, at x = x0, T = T0 is a
Answer
Correct Answer:
Forced boundary condition
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The isoparametric representation of finite elements is defined as element geometry and displacements are represented by the same set of shape functions.
Answer
Correct Answer:
Yes
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Principal stresses and their directions are calculated by using ____
Answer
Correct Answer:
Mohr’s circle method
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In the equation KQ=F, K is called as ____
Answer
Correct Answer:
Modified stiffness matrix
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A1 is the first area and N1 is its shape function then shape function N1= ___
Answer
Correct Answer:
A1/A
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In particular, N1+N2+N3 represent a plane at a height of one at nodes ______
Answer
Correct Answer:
All of the above
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Finite element method uses the concept of shape functions in systematically developing the interpolations.
Answer
Correct Answer:
TRUE
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The position of the interface nodes is set at ____________ from the vertices
Answer
Correct Answer:
Li/2n
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There are ________ simplest element types for 3D elements.
Answer
Correct Answer:
2
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