# A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A twisting moment T = 100 kN-m is applied at the free end. The torsional rigidity Gj is 50000 kN-m2/red. Following satements are made for this shaft. (I) The maximum rotation is 0.01 rad (II) The torsional strain energy is 1 kN-m With reference to the above statements, which of the following applies

1.   Both statements are true

2.   Statement I is true but II is false

3.   Statement II is true but I is false

4.   Both the statements are false

4

Statement I is true but II is false

Explanation :
No Explanation available for this question

# In connection with the design of a barrage, identify the correct matching of the criteria of design with the items of design   Item of design    Criteria of design  (i) Width of waterway  (A)  Scour depth and exit gradient (ii) Level and length of downstream floor  (B) Lacey’s formula for wetted perimeter and discharge capacity of the barrage as computed by weir equations (iii) Depth of sheet piles and total of barrage floor (C) Uplift pressure variation (iv) Barrage floor thickness (D) Hydraulic jump considerations

1.  A        B        C           D

2.  D         C        B          A

3.  B         A        D          C

4.  B        D         A          C

4

B        D         A          C

Explanation :
No Explanation available for this question

# A three-hinged parabolic arch ABC has a span of 20 m and a central rise of 4 m. The arch has hinges at the ends at the centre. A train of two point loads of 20 kN and 10 kN, 5 m apart, crosses this arch from left to right, with 20 kN load leading. The maximum thrust induced at the supports is

1.   25.00 kN

2.   28.13kN

3.   31.25kN

4.   32.81kN

4

31.25kN

Explanation :
No Explanation available for this question

# The differential equation (dy/dx)+Py=Q,ia a linear equation of f first order only if

1.  P is a constant but Q is a function of y

2.  P and Q are (functions of y or constants

3.  P is a function of  y but Q is a constant

4.  P and Q are functions of x or constants

4

P is a function of  y but Q is a constant

Explanation :
No Explanation available for this question

# In a BOD test using 5% dilution of the sample (15 ML of sample and 285 mL of dilution water), dissolved oxygen values for the sample and dilution water blank bottles after five days incubation at 200C were 3.80 and 8.80 mg/L, respectively. Dissolved oxygen originally present in the undiluted sample was 0.80 mg/L. The 5-day 200C BOD of the sample is

1.  116mg/L

2.  108 mg/L

3.  100mg/L

4.  92 mg/L

4

92 mg/L

Explanation :
No Explanation available for this question

# For a flow of 5.7 MLD (million litres per day) and a detention time of 2 hours, the surface area of a rectangular sedimentation tank to remove all particles have setting velocity of 0.33 mm/s is

1.  20m2

2.  100m2

3.  200m2

4.  400m2

4

200m2

Explanation :
No Explanation available for this question

# For a highway with design speed of 100 kmph, the safe overtaking sight distance is (assume acceleratioN as 0.53m/sec2

1.  300m

2.  750m

3.  320m

4.  470m

4

750m

Explanation :
No Explanation available for this question

# The plane frame below is analyzed by neglecting axial deformations. Following statements are made with respect to the analysis (I) Column AB carries axial force only (II)Vertical deflection at the center of beam BC is 1 mm With reference to the above statements, which of the following applies

1.  Both the statements are true

2.  Statement I is true but II is false

3.  Statement II is true but I is false

4.  Both the statements are false

4

Both the statements are true

Explanation :
No Explanation available for this question

# An R.C. short column with 300 mm x 300 mm square cross-section is made of M20 grade concrete and has 4 members, 20 mm diameter longitudinal bars of Fe 415 steel. It is under the action of a concentric axial compressive load. Ignoring the reduction in the area of concrete due to steel bars, the ultimate axial load carrying capacity of the column is

1.   1659 kN

2.   1548 kN

3.   1198 kN

4.   1069 kN

4

1069 kN

Explanation :
No Explanation available for this question

1.  Zero

2.  5.55 N/mm2

3.  11.11 N/mm2

4.  15.68 N/mm2

4