Q3.1 δ(F1.F2) =
1. δF1.δF2
2. δδF1F2
3. F1δF2 + F2δF1
4. F1F2
Q3.2 Variation of primary variable will be zero
always at:
1. Whole domain
2. End points
3. Boundary locations where primary variable is specified.
4. Mid point
Q 3.4 Which of the following is not correct?
1. Essential boundary condition is imposed on the primary variable.
2. Essential boundary condition is always homogeneous.
3. Natural boundary condition is imposed on a derivative of primary
variable.
4. Essential boundary condition has to be satisfied, no matter what
form of differential equation.
Q3.5 Given u = primary variable, which of the
following boundary condition need not be
satisfied by the approximation function?
Q3.6 Which of the following is not true?
1. Weak form weakens the differentiability requirement on primary
variable.
2. Weak form weakens the differentiability requirement on weight
functions.
3. Φ’s (approximate functions) can be chosen more flexibly in weak
form.
4. Natural boundary condition need not be satisfied in weak form.
Q3.7 In a beam problem, if displacements at
both ends are known, then:
1.
2.
3.
4.
They will be referred as natural boundary conditions.
They will be referred as essential boundary conditions.
They must be homogeneous to solve the problem.
None of the above.
Q3.8 In a beam problem, if bending moments
at both ends are known, then:
1.
2.
3.
4.
They will be referred as natural boundary conditions.
They will be referred as essential boundary conditions.
They must be homogeneous to solve the problem.
None of the above.
Q3.9 If the primary variable is known at x=0 & x=1,
then which of the following cannot be the weight
function in weak form of the differential equation?
1.
2.
3.
4.
X(x-1)
Sin(∏x)
X2(x-1)
X2
Q3.10 In a beam problem, which of the
following is a primary variable?
1. Displacement
2. Shear stress
3. Bending moment
4. None of the above
Q3.11 In solid mechanics (quasi-static problems),
the minimization of ____ will help us in finding the
solution?
1. Kinetic Energy
2. Potential Energy
3. Inertia Energy
4. Nuclear Energy
1. Strain
2. Stress
3. Strain Energy
4. Force
Q3.13 Which of the following is not required
for Rayleigh-Ritz method?
1. Equation needs to be in its weak form.
2. Φ’s (approximation functions) have to be linearly independent.
3. Weight function is the same as Φ’s.
4. All the boundary conditions need to be satisfied.
Q3.14 [B]{C} = {F} is the standard condensed form
of equation in FEM where [B] is nxn matrix while
both {C} & {F} are nx1 matrices. Which of the
following is unknown?
1. B
2. C
3. F
4. All are known.
Q3.15 Φ1 = (x-1)(x-2) and Φ2 = (x-1)(x-2)2 can be
chosen for which set of boundary conditions?
(where Φ means approximation functions)
1. U = 0 at x=0; u=0 at x=1
2. U = 1 at x=1; u’ = 1 at x=2
3. U = 0 at x=1 ; u’ = 0 at x=2
4. U = 1 at x=1; u=5 at x=2
Q3.16 What is true about Φ0? (Φ =
approximation function)
1. It has to be always zero.
2. It incorporates boundary conditions regarding u’.
3. It incorporates non-homogeneous boundary conditions.
4. It has to be zero at boundaries.
1. C1 = 55/131; c2=-20/131
2. C1 = 45/131; c2=-30/131
3. C1 = 45/131; c2=-10/131
4. C1 = 50/131; c2=-25/131