This sets of mcq's most includes questions on finite element analysis, Isoparametric Elements with answers in part 2....

## SET 1 of Finite element analysis (FEA) MCQ

Q.no 1. Number of shape functions for 3D hexahedron element with nodes at corners only in natural coordinate system are

A : 2

B : 4

C : 6

**D : 8**

**Answer:-D : 8**

Q.no 2. The degrees of freedom for regular flat shell elments are

**A : three translations and two rotations**

B : three translations and three rotations

C : two translation and two rotations

D : one translation normal to plane and two rotations

**Answer:-A : three translations and two rotations**

Q.no 3. Pascals Triangle is used for writng

A : stress equation

**B : displacement equation**

C : stress strain equation

D : stiffness terms

**Answer:-B : displacement equation**

Q.no 4. Number of shape functions in two nodded beam element are

A : 2

B : 3

**C : 4**

D : 6

**Answer:-C : 4**

Q.no 5. Which is not example of serendipity rectangular element?

A : 8 nodded element

B : 12 nodded element

C : 4 nodded element

**D : 9 nodded element**

**Answer:-D : 9 nodded element**

Q.no 6. How many nodes are there in a tetrahedron element?

A : 3

**B : 4**

C : 6

D : 8

**Answer:-B : 4**

Q.no 7. As per the theory of thin plate with small deflection, the ratio of thickness to span (R) should be

**A : R > (1/10)**

B : R > (1/15)

C : R < (1/10)

D : R < (1/5)

**Answer:-A : R > (1/10)**

Q.no 8. For CST element, if N1=0.3 and N2-0.2 what is the value of N3

A : 0.6

B : 0.4

C : 0.7

**D : 0.5**

**Answer:-D : 0.5**

Q.no 9. The variational principle corresponding to the weak form of elasticity is called as

**A : Theorem of minimum potential energy**

B : Theorem of maximum potential energy

C : Theorem of least square

D : All theorems

**Answer:-A : Theorem of minimum potential energy**

Q.no 10. As per the theory of thin plate with small deformation, The ratio of maximum deflection to thickness (S) should be

A : S > (1/5)

B : S > (1/10)

C : S < (1/5)

D : S < (1/10)

**Answer:-C : S < (1/5)**

## SET 2 of Finite element analysis (FEA) MCQ

Q.no 11. Which is not the characteristic of CST element

A : The strain displacement matrix for CST element is a single term matrix

B : The variation of displacement field variable will be flat for CST element

C : The displacement function for CST is linear function

D : The strain remains constant over the elment.

**Answer:-A : The strain displacement matrix for CST element is a single term matrix**

Q.no 12. Choose the correct statement

A : Principle of minimum potential energy states among all the displacement equations that internal compatibility and the boundary condition those that also satisfy the equation of equilibrium make the potential energy a minimum is a unstable system

B : Principle of Virtual work states among all the displacement equations that internal compatibility and the boundary condition those that also satisfy the equation of equilibrium make the potential energy a minimum is a stable system

C : Principle of minimum potential energy states among all the displacement equations that internal compatibility and the boundary condition those that also satisfy the equation of equilibrium make the potential energy a maximum is a stable system

D : Principle of minimum potential energy states among all the displacement equations that internal compatibility and the boundary condition those that also satisfy the equation of equilibrium make the potential energy a minimum is a stable system

**Answer:-D : Principle of minimum potential energy states among all the displacement equations that internal compatibility and the boundary condition those that also satisfy the equation of equilibrium make the potential energy a minimum is a stable system**

Q.no 13. The shear deformation in plate is considered using following theory

A : Bernoulli theory

B : Timoshenko Theory

C : Kirchhoff Theory

D : Mindlin Theory

**Answer:-D : Mindlin Theory**

Q.no 14. Accuracy of solution in finite element can be increased by

A : Using higher order element

B : adopting grid refinement

C : Selection of proper displacement function

D : adopting all the three options

**Answer:-A : Using higher order element**

Q.no 15. For constant strain triangle element, the shape function is

**A : N1+N2+N3=1**

B : N1+N2+N3=0

C : N1+N2+N3=3

D : N1+N2+N3=4

**Answer:-A : N1+N2+N3=1**

Q.no 16. The following method assumes trial functions only over an element.

A : Rayleigh-Ritz method

B : Method of least square

C : Galerkin method

D : Finite Element Method.

**Answer:-D : Finite Element Method.**

Q.no 17. The eight node quadrilateral element belongs to which family of elements?

**A : Serendipity**

B : Lagrange

C : Octane

D : interdipity

**Answer:-A : Serendipity**

Q.no 18. This form states the condition that must be met at every material point

**A : Strong Form**

B : Weak Form

C : Both Strong and Weak Form

D : Neither Strong nor Weak Form

**Answer:-A : Strong Form**

Q.no 19. This form states the condition that must be met only in an average sense.

A : Strong Form

B : Weak Form

C : Both Strong and Weak Form

D : Neither Strong nor Weak FormQ.no 21. Number of shape functions for 3D hexahedron element with nodes at corners only in natural coordinate system are

**A : 2**

B : 4

C : 6

D : 8

**Answer:-A : 2**