A cohesive soil yields a maximum dry density of $$18kN/m^3$$ during a standard proctor compaction test. If the specific gravity is 2.65, what would be its void ratio? (Adopt unit of water as $$10kKN/m^3$$)
ISRO Scientist or Engineer Civil 2013
For the following questions answer them individually
A footing $$2m \times 1m$$ exerts a uniform pressure of $$150kN/m^2$$ on the soil. Assuming a load dispersion of 2 vertical to 1 horizontal, the average vertical stress in $$(kN/m^2)$$ at 1.0m below the footing is
Match List-I with List-ll and select the correct answer using the code given below the lists :
The standard size of brick is
The velocity of flow of water in a pipe of 150 mm dia is 0.3m/sec, a diaphragm with a central hole 80mm in diameter is placed in the pipe obstructing the flow. With coefficient of contraction $$C_c = 0.60, the loss of head from Vena Contracta to a point downstream will be
If the depletion of oxygen is found to be 5 ppm after incubating a 2.5% solution of sewage sample for 5 days at $$20^\circ C$$, B.O.D of the sewage is
A trapezoidal section of an open channel has side slope 2H:1V. If bottom width is 'b’ and depth ‘d’, the relation between b & d for most economical trapezoidal section of the channel is:
If the difference in elevation of an edge of the pavement 9m wide and its crown is 15 cm, the camber of the pavement is
The scour depth D of a river during flood, may be calculated from the Lacey’s equation
The Glycerine is flowing at $$25^\circ C$$ in a pipe of diameter 150mm with a velocity of 3.6m/s. The flow is
A concrete column $$200 \times 200 mm$$ in cross-section is reinforced with steel bars of $$1200 mm^2$$, total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is $$5 N/mm^2$$ and $$E_s$$ is $$15 E_c$$
For design of Flexure members, the strain in the reinforcing bars under tension at ultimate state as per IS 456-2000 shall not be less than
A soil has liquid limit of 35, plastic limit of 20 and moisture content 25%. What will be its liquidity index and plasticity index
If the moment of inertia of a section about its axis is I and its effective sectional area is A, its radius of gyration r about the axis is
A uniform cantilever beam has a span of 2m and carries a point load of 6kN at free end. The magnitude of moment to be applied at free end for zero vertical deflection at that point is (neglect self-wt. of the beam)
A bar 40mm in diameter and subjected to a tensile force of 40,000 kgs. Undergoes elongation resulting in decrease in diameter considering the properties of the material as $$E = 2 \times 10^5 N/mm^2$$ and Poisson’s ratio $$\upsilon$$ as 0.3, the modulus ofrigidity will be:
lf the volume ofa liquid weighing 3000 kg is 4 cubic metres, 0.75 is its
The height of water level in a tank abovethe centre of a circular hole 2.5 cm in diameter is 50m. The velocity of water flowing through the hole is (neglect friction between jet and wall)
A simply supported beam is considered as a deep beam if the ratio of effective span to overall depth is less than
In two dimensional stress system, the radius of the Mohr’s circles represents
If 5x + 3y + 7z = 5, 3x + 2by + 2z = 9, 7x + 2y + 10z = 5, be a system of equations, then
Whatis the angle between the tangents to the curve $$x = t, y = t^2, z = t^3$$ at $$t = \pm1$$
What is the Laplace transform of $$e^{-3t}(2 \cos 5t - 3 \sin 5t)$$
X is a uniformly distributed random variable that takes values between 0 & 1. The value of $$E \left\{ x ^3\right\}$$ will be
The earth pressure of a soil at rest, is proportional to
The slope of the e-log p curve for a soil mass gives:
Stress produced in a bar by a suddenly applied load is _____x_____the one produced by the same load when applied gradually. The value of 'X’is
Two circular mild steel bars A and B of equal lengths have diameters 2 cm and 3 cm respectively. Each is subjected to a tensile load of magnitude T. The ratio of elongations of the bars $$I_A / I_B$$ is
A pipe of $$0.1 m^2$$ cross sectional area suddenly enlarges to $$0.3 m^2$$ cross sectional area. If the discharge of the pipe is $$0.3 m^3 /sec,$$ the head loss is,
The length of hydraulic jump in rectangular channel is roughly
The absolute minimum radius of horizontal curve for a design speed of 60 Kmph is nearly
If whole circle bearing of a line is $$120^\circ$$, its reduced bearing is
If,
A = Cross sectional area
E = Young’s modulus of elasticity
G = Modulus of rigidity
J = Polar moment of inertia.
Then Torsional rigidity is given by,
The Muller-Breslau principle in structural analys is is used for,
Minimum stopping distance as per IRC for moving vehicles on road with a design speed of 80 km/hour is
The bearing of C from A is N $$30^\circ$$ E and from B, 50 metres east of A, is N $$60^\circ$$ W. The departure of C from A is
Which one of the following conditions is valid in case of unconfined compression test in comparison to triaxial test?
A rod of uniform cross-section A and length L is deformed by $$\delta$$, when subjected to a normal force P. The Young’s Modulus E of the material is,
A simply supported beam has an effective span of 16m. What shall be the limiting ratio of span to effective depth as per IS 456-2000?
If the depletion of oxygen is found to be 2.5 mg/litre after incubating 2.5 ml of sewage diluted with 250 ml water for 5 days at $$20^\circ C$$, B.O.D of the sewage is
The number of bricks per CUM of brickwork in CM is about
The slope correction for a length of 30m along a gradient of 1 in 20, is
Both Reynolds and Froude numbers assume Significance in one of following examples:
The flow in open channel is said to be subcritical if the Froude number is
An ideal vertical curveto join two gradients is
For the differential equation dy/dx + ay = 0 with y(0) = 1, solution is
$$y = cx - c^2$$ is a general solution of the differential equation
The triangle formed by three points
A(1, -2, -3), B(2, -3, -1), C(3, -1, -2) is
The partial differential equation
$$\frac {5\delta^2z}{\delta x^2} + \frac{6\delta^2 z}{\delta y^2} = xy$$ is
If A is a $$3 \times 3$$ matrix and $$|A| = 3, then $$|3A|$$ is
The relationship between void ratio (e) and porosity ratio (n) is:
If D1 and D2 are depths of water up-stream and down-stream of a hydraulic jump in rectangular channel, the loss of head at the jump is
Modular ratio ‘m’ for M25 grade of concreteis
The minimum reinforcement in slabs should not be less than ________ % of the total cross-sectional area when HYSD bars are usedin the either direction,
A cantilever beam carries a uniformly distributed total load W over its whole length and a concentrated upward load W at its free end. The net vertical deflection at the free end is
As per IS 1893 [Part-I] — 2002, Bangalore falls under which earthquake zone
The maximum shear stress in a rectangular beam is __________ times of average shear stress
Minimum cement content required for M 35 grade of concrete for very severe exposure condition as per IS 456 - 2000 is _________ kg/m^3.
Permissible deviation from specified dimensions of cross-section of Column & Beams as per IS Standards is -------mm
Soundness of Cement is measured by
The moment of Inertia of a thin Rod of Mass ‘m’ & length ‘l’, about its axis through its center of gravity & Perpendicular to its length is
The ratio of Static Friction to Dynamic friction is always
Laterite is Chemically Classified as
The compressive strength of Granite is
A first class brick should not absorb water more than ---------- of its own dry weight after 24 hours of immersion in cold water
For RCC Construction the maximum size of Coarse aggregate is limited to
The propagation of Shear Crack in prestressed concrete member depends on
A doubly Reinforced section is used
The material having particle size varying from 0.007 mm to 0.06 mm is termed as
In a manufacture of cement, the dry and wet mixture of Calcareous and argillaceous materials are burnt at a temperature of
A method of differential levelling is used in order to find the differences in elevation between the two points when,
If the depth is kept constant for a beam of uniform strength , then its width will vary in proportion to ---------- , where M is the bending moment
A lead ball with certain velocity is made to strike a wall, it falls down; but a rubber ball of the same mass and with same velocity strikes the same wall, it rebounds. Select the reason from the following :
A large tank open to the Atmosphereis filled with water toa height of 5m from the outlet tap. A tap near the bottom of tank is now opened, and water flows out from the smooth and rounded outlet. Determine the Maximum velocity at the outlet,
The loss of pressure in Venturimeter,
Bending equation is
For a prismatic beam of length L & moment of inertia I, the stiffness factor is
In case of SHM, the period of oscillation (T) is given by,
One Newton force is,
If 2,3,4 are the Eigen values of A, then the Eigen values of 4A will be
