# A cantilever beam is shown in the Figure. The moment to be applied at free end for zero vertical deflection at   that point is

1.  9 kN.m clockwise

2.  9 kN.m anti-clockwise

3.  12kN.m clockwise

4.  12kN.m anti-clockwise

4

12kN.m anti-clockwise

Explanation :
No Explanation available for this question

# The eigenvalues of the matrix

1.  are 1 and 4

2.  are -1 and 2

3.  are 0 and 5

4.  cannot be determined

4

are 0 and 5

Explanation :
No Explanation available for this question

# The function f(x) = 2x2-3x2-36x+2 has its maxima at

1.  x = -2 only

2.  x=0 only

3.  x=3 only

4.  both x= -2 and x=3

4

x = -2 only

Explanation :
No Explanation available for this question

# The strain energy stored in member AB of the pin-joined truss is shown in Fig.when E and A are same for all  members, is

1.  2P2L/AE

2.  P2L/AE

3.  P2L/2AE

4.  Zero

4

P2L/2AE

Explanation :
No Explanation available for this question

# Biotransformation of an organic compound having concentration (x) can be modeled using an ordinary differential equation (dx /dt )+ kx2 =  0, where k is the reaction rate constant. If x = a at t = 0, the solution of the equation is

1.  x = ae-kt

2.  1/x = (1/a)+ kt

3.  x = a (1-e-kt)

4.  x = a + kt

4

1/x = (1/a)+ kt

Explanation :
No Explanation available for this question

# A hydraulic structure has four gates which operate independently. The probability of failure of each gate is 0.2. Given that gate I has failed, the probability that both gates 2 and 3 will fail is

1.  0.240

2.  0.200

3.  0.040

4.  0.008

4

0.040

Explanation :
No Explanation available for this question

# The stiffness matrix of a beam element is given as . Then the flexibility matrix is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# The plastic modulus of a section is 4.8x10-4m3. The shape factor is 1.2. The plastic moment capacity of the   section is 120 kN.m. The yield stress of the material is

1.  100MPa

2.  240MPa

3.  250MPa

4.  300MPa

4

250MPa

Explanation :
No Explanation available for this question

# For the plane frame with an overhang as shown below, assuming negligible axial deformation, the degree of static indeterminacy, d, and the degree of kinematic indeterminacy, k, are

1.  d = 3 and k = 10

2.  d = 3 and k = 13

3.  d = 9 and k = 10

4.  d= 9 and k = 13

4

d= 9 and k = 13

Explanation :
No Explanation available for this question

1.  2 :1

2.  5:3

3.  1:1

4.  3:5

4