This sets of mcq's most includes questions on finite element analysis, Isoparametric Elements with answers....

Q.no 1. Parent element of four nodded Isoparametric quadrilateral element in natural coordinate system is

A : Eight nodded rectangular element

**B : Four nodded rectangular element**

C : Nine nodded rectangular element

D : Twelve nodded rectangular element

**Answer:-B : Four nodded rectangular element**

Q.no 2. When displacement nodes are greater than geometry nodes, it is known as

A : Isoparametric

**B : Subparametric**

C : Superperametric

D : CST

**Answer:-B : Four nodded rectangular element**

Q.no 3. Isoparametric finite elements are based on the parametric definition of

**A : both coordinate and displacement functions.**

B : coordinates functions only

C : displacements functions only

D : boundary conditions

**Answer:-A : both coordinate and displacement functions.**

Q.no 4. Pick the correct statement

**A : Flat shell elements are created by combining plane and bending plate elements.**

B : Flat shell elements are always higher order elements.

C : Flat shell elements are necessarily 3-D elements

D : Flat shell's elements can be analysed using kirchoff's plate theory

**Answer:-A : Flat shell elements are created by combining plane and bending plate elements.**

Q.no 5. The following methods assumes that trial functions over entire solution

A : Finite Element Method

B : Finite Difference Method

**C : Rayleigh-Ritz method**

D : Central Difference method

**Answer:-C : Rayleigh-Ritz method**

Q.no 6. No of coeficients in an displacement function are equal to

**A : no. of nodes x dof per node**

B : Total no of degrees of freedom x degree of the equation

C : Rigid body displacement term plus total degrees of freedom

D : Degrees of freedom per node.

**Answer:-A : no. of nodes x dof per node**

Q.no 7. When displacements and geometry nodes are equal, it is known as

**A : Isoparametric**

B : Subparametric

C : Superperametric

D : CST

**Answer:-A : Isoparametric**

Q.no 8. For four nodded serendipity element which condition is true?

**A : Nodes at corner only**

B : Nodes on middle of the edges

C : One node must be at center

D : nodes anywhere on the element

**Answer:-A : Nodes at corner only**

Q.no 9. Principle of the stationary value of the potential energy is also called as

A : Principle of virtual work

B : Principle of work energy

C : Principle of conservation momentum

**D : Principle of minimum potential energy**

**Answer:-D : Principle of minimum potential energy**

Q.no 10. Number of shape functions in two nodded bar element are

**A : 2**

B : 3

C : 4

D : 6

**Answer:-A : 2**

Q.no 11. Why do we need a Jacobian matrix in the finite element method?

A : The Jacobian matrix is required to determine displacements

B : The Jacobian matrix is required to determine stresses

C : The Jacobian matrix is required to determine strains

**D : The Jacobian matrix is required to map the natural coordinate system to the cartesian coordinate system.**

**Answer:-D : The Jacobian matrix is required to map the natural coordinate system to the cartesian coordinate system.**

Q.no 12. Stress -strain relationship matrix of axisymmetric element consists of terms related to

A : radial distance r and angular deformation Theta

B : angular deformation theta and z coordinate

**C : poisson's ratio and modulus of elasticity**

D : z coordinate and radial distance

**Answer:-C : poisson's ratio and modulus of elasticity**

Q.no 13. If a domain is discretized into N linear 1-D elements, then the number of nodes will be

A : N

**B : N plus 1**

C : N minus 1

D : 2N

**Answer:-B : N plus 1**

Q.no 14. Stresses normal to the plate is neglected in

A : Mindlin Theory

**B : Kirchhoff Theory**

C : Membrane theory

D : Bending and Membrane theory

**Answer:-B : Kirchhoff Theory**

Q.no 15. The art of subdividing a structure into a convenient number of smaller components in finite element analysis is known as

A : triangulation

B : grid

**C : descretization.**

D : division

**Answer:-C : descretization.**

Q.no 16. When geometry nodes are greater than displacement nodes, it is known as

A : Isoparametric

B : Subparametric

**C : Superperametric**

D : CST

**Answer:-C : Superperametric**

Q.no 17. The displacement function U for 1 dimensional two node linear element using standard notations in terms of shape function will be

A : u equals to N1X1 plus N2X2

B : u equals to N2X1 plus N1X2

C : u equals to N1U2 plus N2U1

**D : u equals to N1U1 plus N2U2**

**Answer:-D : u equals to N1U1 plus N2U2**

Q.no 18. Sum of the shape functions is

A : between -1 to 1

**B : always 1**

C : always zero

D : any number

**Answer:-B : always 1**

Q.no 19. In variational principles, which of the following quantities are to be used.

**A : Scalar**

B : Vector

C : Both Scalar and Vector

D : 0

**Answer:-A : Scalar**

Q.no 20. Which statement is not true when related to degenerated solid element

A : Degenerated solid shell elements may be formed from regular elements by defining duplicate node numbers.

B : A degenerated element is an element whose characteristic face shape is quadrilateral, but is modeled with at least one triangular face

C : Degenerated elements are often used for modeling transition regions between fine and coarse meshes, or for modeling irregular and warped surfaces.

**D : A degenerated element is an element is plane 2-D element.**

**Answer:-D : A degenerated element is an element is plane 2-D element.**